Department of Mathematics
Tokyo University of Science
1-3, Kagurazaka, Shinjuku-ku
Tokyo 162-8601, Japan
email: shunsuke.kurima@gmail.com
Shunsuke Kurima
Abstract:
Recently, a time discretization of simultaneous abstract evolution equations
applied to parabolic-hyperbolic phase-field systems has been studied.
This article focuses on a time discretization of an abstract problem that has
application to linearized equations of coupled sound and heat flow.
As examples, we also study some parabolic-hyperbolic phase-field systems.
Submitted January 20, 2020. Published September 19, 2020.
Math Subject Classifications: 35A35, 47N20, 35G30, 35L70.
Key Words: Simultaneous evolution equations; linearized equations;
coupled sound and heat flow; time discretization; error estimate.
DOI: 10.58997/ejde.2020.96
Show me the PDF file (388 KB), TEX file for this article.
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Shunsuke Kurima Department of Mathematics Tokyo University of Science 1-3, Kagurazaka, Shinjuku-ku Tokyo 162-8601, Japan email: shunsuke.kurima@gmail.com |
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