Local Wellposedness of Nonlinear Maxwell Equations PDF Download
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Languages : en
Pages :
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Languages : en
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Author: Jens A. Griepentrop
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Category :
Languages : en
Pages : 0
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Author: Casey Erickson
Publisher:
ISBN: 9781536166804
Category :
Languages : en
Pages : 210
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The book first reviews the Ranada field line solutions of Maxwell's equations in a vacuum, describing a topologically non-trivial electromagnetic field, as well as their relation with the knot theory. Also, the authors present a generalization of these solutions to the non-linear electrodynamics recently published in the literature. Next, this compilation reviews the gravitating electromagnetic field in the 1+3 formalism on a general hyperbolic space-time manifold, discussing the recent results regarding the existence of local field line solutions to the Einstein-Maxwell equations. Lastly, the authors consider the existence of a weak solution to a class of an evolutionary Maxwell-Stokes type problem containing a p-curlcurl system in a multi-connected domain.
Author: G. A. Kotelʹnikov
Publisher:
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Category :
Languages : en
Pages : 7
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Author: Dmitry E. Pelinovsky
Publisher: Cambridge University Press
ISBN: 1139503693
Category : Mathematics
Languages : en
Pages : 409
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This comprehensive book describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices. Aimed at researchers and graduate students working in applied mathematics and physical sciences where nonlinear waves arise, its unique focus is on localized nonlinear waves in periodic potentials and lattices.
Author: Willy Dörfler
Publisher: Springer Nature
ISBN: 3031057937
Category : Mathematics
Languages : en
Pages : 368
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Book Description
This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.
Author: Yasunori Maekawa
Publisher: Springer
ISBN: 3319667645
Category : Mathematics
Languages : en
Pages : 335
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Book Description
This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.
Author: Felipe Linares
Publisher: Springer Science & Business Media
ISBN: 0387848991
Category : Mathematics
Languages : en
Pages : 263
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The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises.
Author: Pavel Ivanovich Naumkin
Publisher: American Mathematical Soc.
ISBN: 9780821887691
Category : Science
Languages : en
Pages : 312
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Book Description
This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.
Author: Ying Li
Publisher:
ISBN:
Category : Maxwell equations
Languages : en
Pages : 192
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