Articoli correlati a Nonlocal Diffusion Problems
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Presenting recent results concerning nonlocal evolution equations with different boundary conditions, four Spanish analytical mathematicians deal with the existence and uniqueness of solutions and their asymptotic behavior, and also offer some results concerning limits of solutions to nonlocal equations when a rescaling parameter goes to zero. They cover the Cauchy problem, the Dirichlet problem, the Neumann problem, the Neumann problem for a nonlocal nonlinear diffusion equation, nonlocal p-Laplacian evolution problems, the nonlocal total variation flow, and nonlocal models for sandpiles. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
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Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
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American Mathematical Society, 2010
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ISBN 13: 9780821852309
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Condizione: New. Series: Mathematical Surveys and Monographs. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 0. . . 2010. Hardcover. . . . . Codice articolo V9780821852309
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Nonlocal Diffusion Problems
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American Mathematical Society, US, 2010
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Hardback. Condizione: New. Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends to zero. With these limit procedures the most frequently used diffusion models are recovered: the heat equation, the $p$-Laplacian evolution equation, the porous media equation, the total variation flow, a convection-diffusion equation and the local models for the evolution of sandpiles due to Aronsson-Evans-Wu and Prigozhin. Readers are assumed to be familiar with the basic concepts and techniques of functional analysis and partial differential equations. The text is otherwise self-contained, with the exposition emphasizing an intuitive understanding and results given with full proofs. It is suitable for graduate students or researchers. The authors cover a subject that has received a great deal of attention in recent years. The book is intended as a reference tool for a general audience in analysis and PDEs, including mathematicians, engineers, physicists, biologists, and others interested in nonlocal diffusion problems. Codice articolo LU-9780821852309
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Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
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American Mathematical Society, 2010
ISBN 10: 0821852302
ISBN 13: 9780821852309
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Condizione: New. Series: Mathematical Surveys and Monographs. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 0. . . 2010. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821852309
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Nonlocal Diffusion Problems
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Nonlocal Diffusion Problems
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Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
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Nonlocal Diffusion Problems (Mathematical Surveys and Monographs, 165, Band 165) Andreu-Vaillo, Fuensanta, Julian Toledo-melero J. D. Rossi Julio u. a.
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American Mathematical Society, 2010
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Condizione: gut. 2010. Nonlocal Diffusion Problems (Mathematical Surveys and Monographs, 165, Band 165) In englischer Sprache. pages. Codice articolo BN350892
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Nonlocal Diffusion Problems
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American Mathematical Society, US, 2010
ISBN 10: 0821852302
ISBN 13: 9780821852309
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Hardback. Condizione: New. Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends to zero. With these limit procedures the most frequently used diffusion models are recovered: the heat equation, the $p$-Laplacian evolution equation, the porous media equation, the total variation flow, a convection-diffusion equation and the local models for the evolution of sandpiles due to Aronsson-Evans-Wu and Prigozhin. Readers are assumed to be familiar with the basic concepts and techniques of functional analysis and partial differential equations. The text is otherwise self-contained, with the exposition emphasizing an intuitive understanding and results given with full proofs. It is suitable for graduate students or researchers. The authors cover a subject that has received a great deal of attention in recent years. The book is intended as a reference tool for a general audience in analysis and PDEs, including mathematicians, engineers, physicists, biologists, and others interested in nonlocal diffusion problems. Codice articolo LU-9780821852309
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