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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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 |
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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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