Stochastic Partial Differential Equations - Couverture rigide

Livre 3 sur 38: Advances in Applied Mathematics

Chow, Pao-liu

 
9781584884439: Stochastic Partial Differential Equations

Synopsis

As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and Itô's equations, highlighting several computational and analytical techniques.

Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis.

By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study.

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À propos de l?auteur

Pau-Liu Chow

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780367453121: Stochastic Partial Differential Equations

Edition présentée

ISBN 10 :  0367453126 ISBN 13 :  9780367453121
Editeur : Routledge, 2019
Couverture souple