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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 (Paperback)
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Springer International Publishing AG, Cham, 2023
ISBN 10: 3031296699
ISBN 13: 9783031296697
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Paperback. Condition: new. Paperback. 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 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 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 pseudo-monotone 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 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. This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 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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Kaltenbach:Pseudo-Monotone Operator The (eng)
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Pseudo Monotone Operator Theory for Unsteady Problems with Variable Exponents (eng)
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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
Published by
Springer International Publishing Aug 2023, 2023
ISBN 10: 3031296699
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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Paperback. Condition: Brand New. 371 pages. 9.25x6.10x0.77 inches. In Stock. This item is printed on demand. Seller Inventory # __3031296699
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PSEUDO MONOTONE OPERATOR THEORY FOR UNSTEADY PROBLEMS WITH VARIABLE EXPONENTS (PB 2023)
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Condition: Brand New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # CVS 9783031296697
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Lecture Notes in Mathematics)
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