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Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data, Cristian Gavrus, Sung-Jin Oh


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Автор: Cristian Gavrus, Sung-Jin Oh
Название:  Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data
ISBN: 9781470441111
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 147044111X
Обложка/Формат: Paperback
Страницы: 94
Вес: 0.13 кг.
Дата издания: 30.07.2020
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 252 x 177 x 10
Ключевые слова: Differential calculus & equations
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Поставляется из: Англии
Описание: In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on $\mathbb{R}^{1+d} (d\geq 4)$ for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors proof are A) uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both is to exploit (and justify) a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Krieger-Sterbenz-Tataru, which says that the most difficult part of Maxwell-Dirac takes essentially the same form as Maxwell-Klein-Gordon.
Дополнительное описание: Differential calculus and equations



Well-Posedness of Parabolic Difference Equations

Автор: A. Iacob; A. Ashyralyev; P.E. Sobolevskii
Название: Well-Posedness of Parabolic Difference Equations
ISBN: 3034896611 ISBN-13(EAN): 9783034896610
Издательство: Springer
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Цена: 6986.00 р.
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Описание: A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. The investigation is based on a new notion of positivity of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy.

Progress in Partial Differential Equations

Автор: Michael Reissig; Michael Ruzhansky
Название: Progress in Partial Differential Equations
ISBN: 3319033425 ISBN-13(EAN): 9783319033426
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations.

Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models

Автор: Qin
Название: Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models
ISBN: 9811017131 ISBN-13(EAN): 9789811017131
Издательство: Springer
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Цена: 10760.00 р.
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Описание: This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.

Von Karman Evolution Equations

Автор: Igor Chueshov; Irena Lasiecka
Название: Von Karman Evolution Equations
ISBN: 1461425913 ISBN-13(EAN): 9781461425915
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. The coverage is comprehensive and elf-contained, and the theory applies to many similar dynamics.

Global Well-Posedness and Asymptotic Behavior of the Solutions to Non-Classical Thermo(visco)Elastic Models

Автор: Qin Yuming, Ma Zhiyong
Название: Global Well-Posedness and Asymptotic Behavior of the Solutions to Non-Classical Thermo(visco)Elastic Models
ISBN: 9811094284 ISBN-13(EAN): 9789811094286
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Exponential Stability for Nonlinear Thermoelastic Equations with Second Sound.- Energy Decay and Global Attractors for A Timoshenko-type System with A Past History.- Stability for A Timoshenko-Type System with A Past History.- Global Existence of Solutions for the Thermoelastic Bresse System.- Stability and Global Attractors for Thermoelastic Bresse System.- Global Existence and Exponential Stabilization for the Higher-Dimensional Linear Thermoelastic System of Type III.- Global Existence for the Three-Dimensional Thermoelastic Equations of Type II.- Global Attractors for Thermoelastic Plates with Memory.- Energy Decay and Global Attractors for Thermoviscoelastic Systems.- Global Existence of Solutions for a Nonlinear Thermoviscoelastic Equation with Non-Monotone Pressure.

The Many Faces of Maxwell, Dirac and Einstein Equations

Автор: Waldyr A. Rodrigues; Edmundo C. Oliveira
Название: The Many Faces of Maxwell, Dirac and Einstein Equations
ISBN: 3642090389 ISBN-13(EAN): 9783642090387
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories.

Progress in Partial Differential Equations

Автор: Michael Reissig; Michael Ruzhansky
Название: Progress in Partial Differential Equations
ISBN: 3319001248 ISBN-13(EAN): 9783319001241
Издательство: Springer
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Цена: 20962.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations.

Von Karman Evolution Equations

Автор: Igor Chueshov; Irena Lasiecka
Название: Von Karman Evolution Equations
ISBN: 0387877118 ISBN-13(EAN): 9780387877112
Издательство: Springer
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Цена: 25853.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book presents results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. The coverage is comprehensive and elf-contained, and the theory applies to many similar dynamics.

Input-Output Analysis of Large-Scale Interconnected Systems

Автор: M. Vidyasagar
Название: Input-Output Analysis of Large-Scale Interconnected Systems
ISBN: 3540105018 ISBN-13(EAN): 9783540105015
Издательство: Springer
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Цена: 14365.00 р.
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Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary

Автор: Chao Wang, Weiren Zhao, Yunrui Zheng, Zhifei Zhang
Название: Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
ISBN: 1470446898 ISBN-13(EAN): 9781470446895
Издательство: Mare Nostrum (Eurospan)
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Цена: 12058.00 р.
Наличие на складе: Нет в наличии.

Описание: Telling the stories of twelve North Carolina heritage foods, each matched to the month of its peak readiness for eating, Georgann Eubanks takes readers on a flavourful journey across the state. Talking with farmers, fishmongers, cooks, historians, and scientists, Eubanks looks at how foods are deeply tied to the culture of the Old North State.

Hyperbolic Systems with Analytic Coefficients

Автор: Tatsuo Nishitani
Название: Hyperbolic Systems with Analytic Coefficients
ISBN: 3319022725 ISBN-13(EAN): 9783319022727
Издательство: Springer
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Цена: 6986.00 р.
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Описание: With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term.


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