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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics) - Softcover
Synopsis
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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From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
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ISBN 10: 3031296699
ISBN 13: 9783031296697
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
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ISBN 13: 9783031296697
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 and non-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. 372 pp. Englisch. Seller Inventory # 9783031296697
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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Pseudo-monotone Operator Theory for Unsteady Problems With Variable Exponents
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PSEUDO MONOTONE OPERATOR THEORY FOR UNSTEADY PROBLEMS WITH VARIABLE EXPONENTS (PB 2023)
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
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ISBN 10: 3031296699
ISBN 13: 9783031296697
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 incompress. Seller Inventory # 826165304
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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