Electron. J. Differential Equations, Vol. 2020 (2020), No. 96, pp. 1-26.

Time discretization of an abstract problem from linearized equations of a coupled sound and heat flow

Shunsuke Kurima

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.

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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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