Pseudomonotone operator theory for unsteady problems with variable exponents / Alex Kaltenbach.
 Format
 Book
 Language
 English
 Published/Created

 Cham, Switzerland : Springer [2023]
 ©2023
 Description
 xiii, 355 pages : illustrations ; 24 cm
Details
 Subject(s)
 Series

 Lecture notes in mathematics (SpringerVerlag) ; 2329. [More in this series]
 Lecture notes in mathematics, 00758434 ; volume 2329
 Summary note
 "This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents.This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)NavierStokes equations describing the motion of an incompressible electrorheological fluid. Due to the variable dependence of the powerlaw index p(.,.) in this system, the classical weak existence analysis based on the pseudomonotone operator theory in the framework of BochnerLebesgue spaces is not applicable. As a substitute for BochnerLebesgue spaces, variable BochnerLebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudomonotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)NavierStokes equations under general assumptions.Aimed primarily at graduate readers, the book develops the material stepbystep, starting with the basics of PDE theory and nonlinear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject." provided by publisher.
 Bibliographic references
 Includes bibliographical references (pages 347355).
 Rights and reproductions note
 Current copyright fee: GBP19.00 42\0.
 ISBN

 9783031296697 ((paperback))
 3031296699 ((paperback))
 OCLC
 1397088502
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