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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents: 2329 (Lecture Notes in Mathematics) - Softcover
Inhaltsangabe
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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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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- VerlagSpringer
- Erscheinungsdatum2023
- ISBN 10 3031296699
- ISBN 13 9783031296697
- EinbandTapa blanda
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten372
- Kontakt zum HerstellerNicht verfügbar
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
Verlag:
Springer International Publishing, 2023
ISBN 10: 3031296699
ISBN 13: 9783031296697
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Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 372 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 42091430/1
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
ISBN 10: 3031296699
ISBN 13: 9783031296697
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Zustand: 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. Bestandsnummer des Verkäufers 826165304
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
ISBN 10: 3031296699
ISBN 13: 9783031296697
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Taschenbuch. Zustand: Neu. 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 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 372 pp. Englisch. Bestandsnummer des Verkäufers 9783031296697
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
Verlag:
Springer International Publishing, 2023
ISBN 10: 3031296699
ISBN 13: 9783031296697
Neu
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783031296697
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Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents
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Springer International Publishing Aug 2023, 2023
ISBN 10: 3031296699
ISBN 13: 9783031296697
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783031296697
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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 (Lecture Notes in Mathematics)
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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 (Lecture Notes in Mathematics)
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Zustand: New. 1st ed. 2023 edition NO-PA16APR2015-KAP. Bestandsnummer des Verkäufers 26396298110
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