Articles liés à Solutions of Nonlinear Parabolic Differential Equations:...

Solutions of Nonlinear Parabolic Differential Equations: Existence and Non-existence Results - Couverture souple

Çelik Karaaslanlı, Canan

 
9783659307447: Solutions of Nonlinear Parabolic Differential Equations: Existence and Non-existence Results
Couverture souple
ISBN 10 : 3659307440 ISBN 13 : 9783659307447
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

In this book, solutions of nonlinear parabolic differential equations are investigated. More specifically, existence and non-existence theorems of solutions are presented. The first part involves the related results for the Cauchy problem for a set of nonlinear parabolic differential equations with critical exponent. Then the necessary and sufficient conditions are determined for the non-existence results of solutions for the corresponding Dirichlet and mixed boundary value problems. The proofs make use of the dilation and comparison arguments. Moreover, to generalize these results, proofs are given in n-dimension and for general type of domains. Finally, numerical simulations are also provided to verify the theoretical analysis

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Présentation de l'éditeur

In this book, solutions of nonlinear parabolic differential equations are investigated. More specifically, existence and non-existence theorems of solutions are presented. The first part involves the related results for the Cauchy problem for a set of nonlinear parabolic differential equations with critical exponent. Then the necessary and sufficient conditions are determined for the non-existence results of solutions for the corresponding Dirichlet and mixed boundary value problems. The proofs make use of the dilation and comparison arguments. Moreover, to generalize these results, proofs are given in n-dimension and for general type of domains. Finally, numerical simulations are also provided to verify the theoretical analysis

Biographie de l'auteur

Canan Çelik Karaaslanlı received her Ph.D. in Mathematics at Michigan State University, USA. Her research interests are primarily in the areas of theory of nonlinear partial differential equations and their applications to mathematical biology. She is currently an Associate Professor at Bahçeşehir University, Istanbul, TURKEY.

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

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659307440
ISBN 13 
9783659307447
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
Personne responsable
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