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Author : A. Koshelev
Release : 1991
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Regularity of Solutions for Some Quasilinear Parabolic Systems by : A. Koshelev
Download or read book Regularity of Solutions for Some Quasilinear Parabolic Systems written by A. Koshelev. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aleksandr Košelev
Release : 1991
Genre :
Kind : eBook
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Book Synopsis Regularity of solutions for some quasilinear parabolic systems by : Aleksandr Košelev
Download or read book Regularity of solutions for some quasilinear parabolic systems written by Aleksandr Košelev. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Koshelev
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 725/5 ( reviews)
Book Synopsis Regularity Problem for Quasilinear Elliptic and Parabolic Systems by : Alexander Koshelev
Download or read book Regularity Problem for Quasilinear Elliptic and Parabolic Systems written by Alexander Koshelev. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : David Hoff
Release : 2020-11-18
Genre : Education
Kind : eBook
Book Rating : 617/5 ( reviews)
Book Synopsis Linear and Quasilinear Parabolic Systems: Sobolev Space Theory by : David Hoff
Download or read book Linear and Quasilinear Parabolic Systems: Sobolev Space Theory written by David Hoff. This book was released on 2020-11-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Herbert Gajewski
Release : 1993
Genre :
Kind : eBook
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Book Synopsis About Loss of Regularity and "blow Up" of Solutions for Quasilinear Parabolic Systems by : Herbert Gajewski
Download or read book About Loss of Regularity and "blow Up" of Solutions for Quasilinear Parabolic Systems written by Herbert Gajewski. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
