{"product_id":"9783031296697","title":"Pseudo-Monotone Operator Theory For Unsteady Problems With Variable Exponents (Lecture Notes In Mathematics, 2329)","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003e| \u003cb\u003eAuthor: \u003c\/b\u003eAlex Kaltenbach\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublisher: \u003c\/b\u003eSpringer\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003ePublication Date: \u003c\/b\u003eAug 12, 2023\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eNumber of Pages: \u003c\/b\u003e371 pages\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eLanguage: \u003c\/b\u003eEnglish\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eBinding: \u003c\/b\u003ePaperback\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-10: \u003c\/b\u003e3031296699\u003c\/li\u003e\n\u003cli\u003e| \u003cb\u003eISBN-13: \u003c\/b\u003e9783031296697\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":48292859511089,"sku":"9783031296697","price":71.82,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0798\/8215\/8385\/products\/9783031296697.jpg?v=1707590663","url":"https:\/\/www.recomparo.com\/products\/9783031296697","provider":"ReComparo.com","version":"1.0","type":"link"}