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portada Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
Type
Physical Book
Publisher
Author
Year
2023
Language
English
Pages
374
Format
Paperback
Dimensions
23.4x15.6 cm
ISBN13
9783031296710

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents

Alex Kaltenbach (Author) · Springer Nature B.V. · Paperback

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents - Alex Kaltenbach

New Book Imported to Taiwan
Delivery: 11 Sep - 21 Sep Shipping: 4 to 5 business days.
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NT$ 2,157

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Synopsis "Pseudo-Monotone Operator Theory for 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(.,.)-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.

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