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1000 tulosta hakusanalla Sergiu Klainerman; Francesco Nicolo

The Evolution Problem in General Relativity

The Evolution Problem in General Relativity

Sergiu Klainerman; Francesco Nicolo

Springer-Verlag New York Inc.
2011
nidottu
The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys­ tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.
Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Sergiu Klainerman; Jérémie Szeftel

Princeton University Press
2020
pokkari
Essential mathematical insights into one of the most important and challenging open problems in general relativity—the stability of black holesOne of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and Jérémie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes—or Schwarzschild spacetimes—under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.
Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Sergiu Klainerman; Jérémie Szeftel

PRINCETON UNIVERSITY PRESS
2020
sidottu
Essential mathematical insights into one of the most important and challenging open problems in general relativity—the stability of black holesOne of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and Jérémie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes—or Schwarzschild spacetimes—under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.
The Global Nonlinear Stability of the Minkowski Space

The Global Nonlinear Stability of the Minkowski Space

Demetrios Christodoulou; Sergiu Klainerman

Princeton University Press
2014
pokkari
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Global Nonlinear Stability of the Minkowski Space

The Global Nonlinear Stability of the Minkowski Space

Demetrios Christodoulou; Sergiu Klainerman

Princeton University Press
2016
sidottu
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Abbas (EDT) Bahri; Sergiu (EDT) Klainerman; Michael S. (EDT) Vogelius

Amer Mathematical Society
2004
pokkari
This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the event was devoted to Einstein equations and related topics. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.
Party Organization and Electoral Volatility in Central and Eastern Europe
Political parties in post-communist countries have very high levels of electoral volatility. In these environments, political factions fail to establish long-term connections with the electorate and thus regularly rise and fall from the political arena.This book provides an organizational explanation for the variations in party-level electoral volatility. It looks comparatively at 29 political parties in six Central and Eastern European democracies between 1990 and 2008 to examine how political parties can influence their electoral environment. Using empirical evidence, Gherghina tests the effect of candidate selection procedures, membership organizations, and re-nomination of incumbent MPs on voters’ loyalty, and in doing so, demonstrates how party organization greatly affects electoral stability. Including case studies from Bulgaria, Czech Republic, Hungary, Poland, Romania, and Slovakia this book will be of interest to students and scholars of comparative politics, party politics, democratization, elections, and Central and Eastern European politics.
Screwed

Screwed

Sergiu Viorel Urma

Sergiu Viorel Urma
2015
pokkari
This intriguing memoir takes you inside Ceaușescu's Romania, where Sergiu Viorel Urma was the sole reporter for the Associated Press from 1974 through 1987.Urma's narration begins in May 2014, when he returned to his native country for a chance to see the dossier compiled by the Securitate, Romania's version of the Soviet KGB. It had taken him nine years to access his folder. And now, he cannot believe his eyes...Urma goes on to chronicle his eventful career path, taking readers back to his senior year at Bucharest University, the same year Moscow and its Eastern Bloc allies-with the exception of Romania-invade Czechoslovakia to stifle the Prague Spring.In 1973, after a twenty-three-year period during which the Associated Press did not have a reporter in Romania, the agency opens a Bucharest bureau and hires Urma as an assistant. The following year, he becomes the only reporter working for a Western agency in the country-and the West is very curious to know what Ceaușescu is up to...The newly surfaced dossier sheds light on Urma's time as a reporter in Romania, highlighting just how dangerous the political climate was during this fascinating chapter of modern history.
Military Occupation and Diplomacy

Military Occupation and Diplomacy

Sergiu Verona

Duke University Press
1991
sidottu
In 1958, after fourteen years of military occupation, Khrushchev-in an unprecedented act-withdrew the Soviet Union’s troops from Romania as part of a political move intended to encourage the withdrawal of Western military forces from Europe. In analyzing this crucial historic episode, Sergiu Verona’s comprehensive study illustrates the dynamics of Soviet military presence in Romania and provides a framework for understanding Soviet security policy, then and now, as well as the interaction between Soviet military objectives and diplomacy.Drawing on declassified archival material in the United States and the United Kingdom, the author considers Khrushchev’s reversal of Stalinist expansionism by examining the motivation, function, and operation of the initial occupation of Romania; the complex involvement of Soviet diplomacy and its perception by the United States and other Western powers; the process by which Khrushchev decided to withdraw Soviet troops from that country; and the impact of this decision on Soviet policy. Verona extends his analysis, providing comparisons between Khrushchev’s and Gorbachev’s approaches to Eastern Europe, noting that similarities exist not only in domestic policies but in the realm of foreign policy as well.
Attack of the Spheres: A Science Fiction Novel

Attack of the Spheres: A Science Fiction Novel

Sergiu Somesan

Independently Published
2019
nidottu
Man and the Universe: two forces that should work in harmony with each other.However, sometimes the Universe and Man clash and fight in incredible ways.How can Man measure out against the Universe, adapt, and survive?This book by Sergiu Someşan introduces us to the marvelous - and seemingly infinite - sources of power Man's mind has at its disposal, offering us a surprisingly refreshing reading.A short excerpt from the novel is given here: He sighed, took a sip of beer, and then added: "I wish I could arrive first at a scene that would hit the front page of the newspapers."Piotr, about five years his buddy's senior, shook his finger at Viaceslav: "Buddy, be careful what you wish for; sometimes life beats movies, and it beats it so hard that it may hurt you too if you're around."He took another sip of beer and wanted to explain further how things were, but just then, the crash of a collapsing wall covered all other sounds in the square, and near their table, less than thirty-two feet away, there emerged a black sphere about ten feet in diameter. The ground shook heavily, but no one moved."What the heck was that?" Viaceslav asked, with his eyes fixed on the unusual object, while Piotr automatically removed his video camera from its cover.The surface of the sphere was black matte, and it dented the asphalt only a few inches. It looked pretty much stationary there and didn't seem to want to roll towards them, despite the slight dip."First take some still shots and then record it," he whispered to Piotr.Stones falling from the nearby building could be heard; other stones came down from where the sphere passed on its path to the square."Take some pictures of the building, too," Viaceslav said, pointing toward the structure.
Party Organization and Electoral Volatility in Central and Eastern Europe
Political parties in post-communist countries have very high levels of electoral volatility. In these environments, political factions fail to establish long-term connections with the electorate and thus regularly rise and fall from the political arena.This book provides an organizational explanation for the variations in party-level electoral volatility. It looks comparatively at 29 political parties in six Central and Eastern European democracies between 1990 and 2008 to examine how political parties can influence their electoral environment. Using empirical evidence, Gherghina tests the effect of candidate selection procedures, membership organizations, and re-nomination of incumbent MPs on voters’ loyalty, and in doing so, demonstrates how party organization greatly affects electoral stability. Including case studies from Bulgaria, Czech Republic, Hungary, Poland, Romania, and Slovakia this book will be of interest to students and scholars of comparative politics, party politics, democratization, elections, and Central and Eastern European politics.
Regime Dynamics in EU's Eastern Neighbourhood

Regime Dynamics in EU's Eastern Neighbourhood

Sergiu Buscaneanu

Palgrave Macmillan
2017
sidottu
This book examines the effectiveness and consistency of EU democracy promotion in its Eastern neighbourhood between 1991 and 2014. It concludes that the EU’s democratization role in this region was, not surprisingly, weak within this time period. However, this weak role only took shape under four domestic and transnational conditions: (a) a higher cost-benefit balance of rule transfer, (b) a lower structural difficulty a given country would need to overcome on its way towards a democratic regime, (c) increased levels of authority distribution across branches of power, and (d) a higher extent of democratic diffusion resulting from regional interactions. In those countries where these domestic and transnational conditions were present, as in Moldova, Ukraine, and Georgia, the EU’s democratizing influence was in causal terms only the tip of the iceberg. Most variation in regime dynamics remains to be explained by domestic and transnational contexts.
Regime Dynamics in EU's Eastern Neighbourhood

Regime Dynamics in EU's Eastern Neighbourhood

Sergiu Buscaneanu

Palgrave Macmillan
2018
nidottu
This book examines the effectiveness and consistency of EU democracy promotion in its Eastern neighbourhood between 1991 and 2014. It concludes that the EU’s democratization role in this region was, not surprisingly, weak within this time period. However, this weak role only took shape under four domestic and transnational conditions: (a) a higher cost-benefit balance of rule transfer, (b) a lower structural difficulty a given country would need to overcome on its way towards a democratic regime, (c) increased levels of authority distribution across branches of power, and (d) a higher extent of democratic diffusion resulting from regional interactions. In those countries where these domestic and transnational conditions were present, as in Moldova, Ukraine, and Georgia, the EU’s democratizing influence was in causal terms only the tip of the iceberg. Most variation in regime dynamics remains to be explained by domestic and transnational contexts.
Literatura in Lumina Ortodoxiei: Studiu

Literatura in Lumina Ortodoxiei: Studiu

Sergiu Ciocarlan

Createspace Independent Publishing Platform
2017
nidottu
Literature in the Light of Orthodoxy. A Study Young Romanian writer and philosopher, Sergiu Cioc rlan teaches us how to apply the principles of Orthodoxy to reading and understanding World Literature. Ca oricare intelectual creştin, Sergiu Cioc rlan atrage atenţia, curajos, asupra devierilor ideologice şi asupra tertipurilor potrivnicului cărora le-au căzut şi le cad victime unii scriitori de ieri şi de astăzi, n goana lor după originalitate şi după celebritate. Operele cu pricina pot fi citite, astfel, după deplina lămurire, index ndu-se doar stricăciunea şi păstr ndu-se ceea ce răm ne viabil. ...] n oricare curent literar s-ar ncadra operele ce aşteaptă pe rafturile librăriilor şi ale bibliotecilor, cititorii sunt ndemnaţi la prudentă alegere după o atentă informare spre a nu-şi hrăni sufletul cu false valori, select ndu-le anume pe acelea aflate n Adevărul, Frumosul şi Iubirea divine. ntr-adevăr, puţini scriitori vom găsi care să se ndrepte fără ezitare spre aceste „frumuseţi veşnice" - ne previne autorul -, nsă aceasta e grila corectă, căci nimic altceva nu poate fi mai preţios dec t Cuv ntul lui Dumnezeu: viu şi lucrător şi mai ascuţit dec t orice sabie cu două tăişuri. El nsuşi prozator talentat, Sergiu Cioc rlan ni se adresează, la un moment dat, dinlăuntrul artei cuv ntului: literatura nu se face deloc cu naivitate (...); există n fruntariile ei un fond eterogen, o bază conceptuală ce trebuie atent decodată n lumina criteriilor pe care le-am trasat de la bun nceput: Adevăr, Frumos şi Iubire. ...] n spaţiul rom nesc, modelul cultural nu poate fi conceput n afara Ortodoxiei, argumentul principal fiind acela că impulsul creator se naşte din nt lnirea omului cu Creatorul său. Denaturarea creaţiei ia şi acest aspect al ntreruperii misiunii, al ieşirii din comuniune, nemai nţeleg nd nicicum că nt lnirea cu Dumnezeu este esenţa tuturor mişcărilor noastre lăuntrice. Adaug la aceste constatări ale autorului că tocmai Rom nia, această ţară care, prin locuitorii ei de frunte, a cunoscut masiv n ultima parte a secolului al XX-lea răstignirea prin experimentul comunist, se vede acum milostivită de Dumnezeu prin apariţia unor creatori creştini de anvergură, solid formaţi şi bine intenţionaţi, spre a se putea re nnoda tradiţia viabilă, proprie acestui păm nt străvechi. Fără veritabile repere - intelectuali patrioţi şi făptuitori jertfelnici -, nimic trainic nu se poate edifica. De aceea, cu scriitori ca Sergiu Cioc rlan care, prin demersul acesta al său, luminat de Ortodoxie, n răspăr cu ceea ce ar vrea Europa de la noi, ne ndeamnă să revenim n Biserică, am speranţe că se vor trezi cur nd conştiinţele conaţionalilor noştri, iar cuvintele datate 14 august 1882 ale lui Mihai Eminescu şi vor afla mplinirea ntr-o Biserică plină de oameni, toţi av nd frica lui Dumnezeu, toţi sper nd de la El m ntuire şi ndrept ndu-şi vieţile după nvăţăturile Lui. Mihai Floarea
Retete Pe Baza de Plante 2022

Retete Pe Baza de Plante 2022

Sergiu Rusu

SERGIU RUSU
2022
pokkari
Vrei să trăiești o viață plină de energie, dar să te bucuri de m ncăruri delicioase și ușor de preparat?Vrei să slăbești o dată pentru totdeauna, n timp ce te bucuri n continuare de m ncărurile tale vegane preferate?Dieta pe bază de plante nu trebuie să fie plictisitoare și bl ndă. Poate fi creativ și viguros. Această carte vă va economisi timp și efort, oferind rețete flexibile și sigure pentru orice ocazie.Ei bine, dacă răspunsul este da, atunci de aceea sunt aici pentru. Pentru a vă ajuta să realizați acest lucru, m-am concentrat pe crearea singurei cărți de bucate pe bază de plante, pentru rezultate excelente, cu rețete ușor și fără efort de gătit pentru oricine.Această carte de rețete simplă, dar pe bază de plante vă va ajuta să obțineți mese delicioase unice, gata să vă restabiliți sănătatea, să vă simțiți grozav și să pierdeți n greutate Această carte completă de bucate pe bază de plante se va ocupa de timpul limitat de gătit și vă va arăta calea cea mai ușoară și mai gustoasă către un nou stil de viață.Adoptă o dietă pe bază de plante pentru sănătatea inimii, arderea grăsimilor și bunăstarea generală - aceste rețete delicioase și planuri de masă utile vă vor arăta calea. Bucurați-vă Luați-vă copia acum
Lattice Functions and Equations

Lattice Functions and Equations

Sergiu Rudeanu

Springer London Ltd
2001
nidottu
Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions.This self-contained monograph surveys recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices; a special attention is paid to consistency conditions and reproductive general solutions.The contents include:- equational compactness in semilattices and Boolean algebras;- the theory of Post functions and equations (which is very close to that of Boolean functions and equations);- a revision of Boolean fundamentals;- closure operators on Boolean functions;- the decomposition of Boolean functions;- quadratic truth equations;- Boolean differential calculus;- Boolean geometry and other topics.There is also a chapter on equations in a very general sense. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others.
Nomads and Natives beyond the Danube and the Black Sea
This book re-examines the history of the Carpathian-Danubian region during the eighth and the ninth centuries, to provide a synthetic historical overview of the region to the north of the Lower Danube in this period. Based on a critical and comparative analysis of archaeological, narrative and numismatic sources, the study presents a reconstruction of the socio-economic, ethnic, cultural, and political history of the area at a period during which nomadic peoples from the east including the Bulgars, Avars, and Khazars migrated here. The work is based on a comprehensive analysis of narrative and archaeological sources including sites, artefacts, and goods in the basin bordered by the Tisza river in the west, the Danube in the south, and the Dniestr river in the east, covering swathes of modern-day Romania, Moldova, Ukraine, Serbia, and Hungary.