{"product_id":"pseudo-monotone-operator-theory-for-unsteady-problems-with-variable-exponents-von-alex-kaltenbach","title":"Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents","description":"\n                                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.\n                \n                \u003cp\u003eAimed 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.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031296697\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783031296697","offer_id":46983274594629,"sku":"9783031296697","price":64.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/76052b16-1c13-45bb-9418-898812a5fa77.jpg?v=1772169578","url":"https:\/\/shop.autorenwelt.de\/en\/products\/pseudo-monotone-operator-theory-for-unsteady-problems-with-variable-exponents-von-alex-kaltenbach","provider":"Autorenwelt Shop","version":"1.0","type":"link"}