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Regularity Problem For Quasilinear Elliptic And Parabolic Systems 1995 Edition at Meripustak

Regularity Problem For Quasilinear Elliptic And Parabolic Systems 1995 Edition

Books from same Author: Alexander Koshelev

Books from same Publisher: Springer

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    • General Information  
    Author(s)Alexander Koshelev
    PublisherSpringer
    ISBN9783540602514
    Pages262
    BindingPaperback
    LanguageEnglish
    Publish YearSeptember 1995

    Description

    Springer Regularity Problem For Quasilinear Elliptic And Parabolic Systems 1995 Edition by Alexander Koshelev

    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. 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.