Functional setting for unsteady problems in moving domains and applications

Naegele, P. and Ruzicka, M. and Lengelerb, D. (2017) Functional setting for unsteady problems in moving domains and applications. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 62 (1). pp. 66-97. ISSN 1747-6933, 1747-6941

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Abstract

In this paper we develop a functional framework for unsteady problems for monotone operators in domains with smoothly moving boundaries. This is motivated by the motion of generalized Newtonian fluids in such domains. A crucial step towards this is the proof of a general integration by-parts formula for functions in non-cylindrical domains. The framework is used to show the existence of weak solutions for the p-Stokes problem in non-cylindrical domains.

Item Type: Article
Uncontrolled Keywords: KOITER TYPE SHELL; WEAK SOLUTIONS; VISCOUS-FLUID; ELASTIC PLATE; EXISTENCE; Equations in time-dependent domains; function spaces in time-dependent domains; monotone operators; existence theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Helmut Abels
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 12:58
Last Modified: 20 Feb 2019 13:59
URI: https://pred.uni-regensburg.de/id/eprint/157

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