Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 96, pp. 1-26.

Title: Time discretization of an abstract problem from linearized equations
       of a coupled sound and heat flow
       
Author: Shunsuke Kurima (Tokyo Univ. of Science, Japan)

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.