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

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.

Keywords

• simultaneous evolution equations
• linearized equations
• coupled sound and heat flow
• time discretization
• error estimate