Overview

The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This text 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.

Full Product Details

Author:   Alexander Koshelev
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1995 ed.
Volume:   1614
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.890kg
ISBN:  

9783540602514

ISBN 10:   3540602518
Pages:   262
Publication Date:   18 September 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Weak solutions and the universal iterative process.- Regularity of solutions for non degenerated quasilinear second order elliptic systems of the divergent form with bounded nonlinearities.- Some properties and applications of regular solutions for quasilinear elliptic systems.- Diffeentiability of solutions for second order elliptic systems.- Regularity of solutions for parabolic systems with some applications.- The Navier-Stokes system; strong solutions.

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