The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise: 2085 (Lecture Notes in Mathematics) - Tapa blanda

Debussche, Arnaud; H�gele, Michael; Imkeller, Peter

9783319008271: The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise: 2085 (Lecture Notes in Mathematics)

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ISBN 10: 3319008277 ISBN 13: 9783319008271

Editorial: Springer, 2013

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This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.

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Editorial: Springer
A�o de publicaci�n: 2013
Idioma: Ingl�s
ISBN 10: 3319008277
ISBN 13: 9783319008271
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N�mero de p�ginas: 180
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9783319008295: The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise

Arnaud Debussche, Peter Imkeller, Michael H�gele

Publicado por Springer International Publishing, 2013

ISBN 10: 3319008277 ISBN 13: 9783319008271

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Condici�n: Sehr gut. Zustand: Sehr gut | Seiten: 180 | Sprache: Englisch | Produktart: B�cher. N� de ref. del art�culo: 23893727/2

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise

Arnaud Debussche

Publicado por Springer International Publishing Okt 2013, 2013

ISBN 10: 3319008277 ISBN 13: 9783319008271

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Taschenbuch. Condici�n: Neu. Neuware -This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states. 180 pp. Englisch. N� de ref. del art�culo: 9783319008271

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise

Arnaud Debussche

Publicado por Springer International Publishing, Springer International Publishing, 2013

ISBN 10: 3319008277 ISBN 13: 9783319008271

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Taschenbuch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states. N� de ref. del art�culo: 9783319008271

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise (Lecture Notes in Mathematics, 2085)

Debussche, Arnaud; H�gele, Michael; Imkeller, Peter

Publicado por Springer, 2013

ISBN 10: 3319008277 ISBN 13: 9783319008271

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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L�vy Noise

Arnaud Debussche

Publicado por Springer International Publishing, Springer International Publishing Okt 2013, 2013

ISBN 10: 3319008277 ISBN 13: 9783319008271

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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

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Taschenbuch. Condici�n: Neu. Neuware -This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 180 pp. Englisch. N� de ref. del art�culo: 9783319008271

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