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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

N� de ref. del art�culo 9783031296697

Contactar al vendedor

Denunciar este art�culo

Detalles bibliogr�ficos

T�tulo: Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents (Paperback)
Editor: Springer International Publishing AG, Cham
Fecha de publicaci�n: 2023
Idioma: Ingl�s
ISBN 10: 3031296699
ISBN 13: 9783031296697
Encuadernaci�n: Paperback
Edici�n: 1� Edici�n
Estado: new

Acerca de

Sinopsis

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.

Acerca del autor

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

The Nile Group Pty Ltd
42 Apex Drive, Truganina, VIC, 3029, Australia

Condiciones de venta y env�o

Condiciones de venta

We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

Derecho a cancelaci�n

Condiciones de env�o

Please note that titles are dispatched from our UK and NZ warehouse. Delivery times specified in shipping terms. Orders ship within 2 business days. Delivery to your door then takes 8-15 days.

Tarifas de env�o de Australia a Espa�a

Tarifas de env�o de Australia a Espa�a
Cantidad del pedido	De 25 a 60 d�as h�biles	De 8 a 59 d�as h�biles
Primer art�culo	EUR 31.32	EUR 37.24

Los plazos de entrega los establecen los vendedores y var�an seg�n el transportista y la ubicaci�n. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relaci�n con cargos adicionales para cubrir cualquier aumento en los costes de env�o de los art�culos.