Name: Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (en Inglés)
SKU: 63502191
Price: 75.90 USD
Availability: InStock
Author: Alex Kaltenbach
ISBN: 9783031296710

portada Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (en Inglés)

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Alex Kaltenbach

Año

2023

Idioma

Inglés

N° páginas

374

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9783031296710

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (en Inglés)

Alex Kaltenbach (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (en Inglés)"

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(.,.)-Navier-Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner-Lebesgue spaces is not applicable. As a substitute for Bochner-Lebesgue spaces, variable Bochner-Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier-Stokes equations under general assumptions.

Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory andnon-linear 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.