Work

Blow-up Phenomenon of Solution to the Semilinear Viscous Moore-gibson-thompson Equation With Memory Terms

Year: 2026

Type: article

Abstract: This article is devoted to investigating the initial boundary value problem of semilinear viscous Moore-Gibson-Thompson equation with general initial values and nonlinear memory terms $N_{\gamma,\,q}(u)$, $N_{\gamma,\,p}(u_{t})$, $N_{\gamma,\,p,\,q}(u,\,u_{t})$ on exterior domain, respectively. Blow-up dynamic of solution is deduced by taking advantage of the test function method related to an appropriate harmonic function. It is worth observing that the semilinear viscous Moore-Gibson-Thompson equation with memory terms can be considered as an approximation of viscous Moore-Gibson-Thompson equation with nonlinear terms when $\gamma\rightarrow1^{-}$. Up to author's best knowledge, the results in Theorems 1.1-1.3 are new.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20260114

Authors: Xiongmei Fan, Sen Ming

Institutions: Jinzhong University, North University of China

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Jinzhong University

OpenAlex ID: W7222552281