Author: A. Koshelev
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Regularity of Solutions for Some Quasilinear Parabolic Systems
Regularity of solutions for some quasilinear parabolic systems
Regularity Problem for Quasilinear Elliptic and Parabolic Systems
Author: Alexander Koshelev
Publisher: Springer
ISBN: 3540447725
Category : Mathematics
Languages : en
Pages : 277
Book Description
The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.
Publisher: Springer
ISBN: 3540447725
Category : Mathematics
Languages : en
Pages : 277
Book Description
The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.
Linear and Quasilinear Parabolic Systems: Sobolev Space Theory
Author: David Hoff
Publisher: American Mathematical Soc.
ISBN: 1470461617
Category : Education
Languages : en
Pages : 226
Book Description
This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Publisher: American Mathematical Soc.
ISBN: 1470461617
Category : Education
Languages : en
Pages : 226
Book Description
This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Nonlinear Parabolic Equations
Author: Lucio Boccardo
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 256
Book Description
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 256
Book Description
About Loss of Regularity and "blow Up" of Solutions for Quasilinear Parabolic Systems
Regularity and Asymptotics for Strongly Nonlinear Parabolic Partial Differential Equations
Equadiff-91 - International Conference On Differential Equations (In 2 Volumes)
Author: C Perello
Publisher: World Scientific
ISBN: 9814554715
Category :
Languages : en
Pages : 1036
Book Description
Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel. The first conference Equadiff-70 which was held in Marseille. Since then, similar conferences had been held in Brussels, Florence, Wurzburg as well as Xanthi. The purpose of the Equadiff series of conferences is to present the latest development in the field of differential equations, both ordinary and partial, including their numerical treatment and applications to the mathematics community. These conferences had attracted renowned mathematicians from all over the world to present their studies and findings. The latest conference under the series was Equadiff-91, held in Barcelona. It attracted some 30 renowned mathematicians. Researchers and graduate students of pure and applied mathematics will find this compilation of conference proceedings up-to-date, relevant and insightful.
Publisher: World Scientific
ISBN: 9814554715
Category :
Languages : en
Pages : 1036
Book Description
Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel. The first conference Equadiff-70 which was held in Marseille. Since then, similar conferences had been held in Brussels, Florence, Wurzburg as well as Xanthi. The purpose of the Equadiff series of conferences is to present the latest development in the field of differential equations, both ordinary and partial, including their numerical treatment and applications to the mathematics community. These conferences had attracted renowned mathematicians from all over the world to present their studies and findings. The latest conference under the series was Equadiff-91, held in Barcelona. It attracted some 30 renowned mathematicians. Researchers and graduate students of pure and applied mathematics will find this compilation of conference proceedings up-to-date, relevant and insightful.
About loss of regularity and "blow up" of solutions for quasilinear parabolic systems
Global Existence for Solutions of Semilinear and Quasilinear Parabolic Systems of Partial Differential Equations
Author: Sheila Waggoner
Publisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 266
Book Description
Publisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 266
Book Description