Regularity and Stochasticity of Nonlinear Dynamical Systems, Dimitri Volchenkov; Xavier Leoncini

Автор: Tommaso Biancalani
Название: The Influence of Demographic Stochasticity on Population Dynamics
ISBN: 3319384287 ISBN-13(EAN): 9783319384283
Издательство: Springer
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Цена: 13059.00 р.
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Описание: The dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite. This thesis is centered on two unsolved problems in population dynamics: the symmetry breaking observed in foraging populations and the robustness of spatial patterns.

Автор: Alain Bensoussan; Jens Frehse
Название: Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 3642087264 ISBN-13(EAN): 9783642087264
Издательство: Springer
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Автор: Alexander Koshelev
Название: Regularity Problem for Quasilinear Elliptic and Parabolic Systems
ISBN: 3540602518 ISBN-13(EAN): 9783540602514
Издательство: Springer
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Описание: This text deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described.

Автор: Gomes
Название: Regularity Theory for Mean-Field Game Systems
ISBN: 3319389327 ISBN-13(EAN): 9783319389325
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.

Автор: Messaoud Bounkhel
Название: Regularity Concepts in Nonsmooth Analysis
ISBN: 1489989374 ISBN-13(EAN): 9781489989376
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis.

Автор: Antal J?rai
Название: Regularity Properties of Functional Equations in Several Variables
ISBN: 1441937404 ISBN-13(EAN): 9781441937407
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion.