7 papers · 1 filter
Stable and Unstable Potential-Well Dynamics for an Indirectly Damped Wave-MGT System with General Focusing Sources
Tae Gab Ha
We study a conservative semilinear wave equation coupled through a zero-order interaction to a dissipative Moore--Gibson--Thompson equation on a bounded domain. The wave component…
Global existence and finite-time blow-up for a strongly damped wave--MGT system with fully subcritical logarithmic nonlinearity
Tae Gab Ha
We study a coupled strongly damped wave--Moore--Gibson--Thompson (MGT) system with logarithmic source in the full Sobolev-subcritical range $2<γ<2^*:=2n/(n-…
Global Well-Posedness and Conditional Asymptotic Stability for a Coupled Wave-MGT System with Logarithmic Nonlinearity
Tae Gab Ha
We study a coupled system formed by a conservative wave equation and a dissipative Moore-Gibson-Thompson (MGT) equation on a bounded domain. The wave component is driven by the log…
Stabilization for the wave equation with fully subciritical logarithmic nonlinearity
Tae Gab Ha
In this paper, we consider a wave equation with strong damping and logarithmic nonlinearity. This paper aims to study the local and global existence, uniqueness and the uniform ene…
Global solutions and blow-up for the wave equation with variable coefficients: II. boundary supercritical source
Tae Gab Ha
In this paper, we consider the wave equation with variable coefficients and boundary damping and supercritical source terms. The goal of this work is devoted to prove the local and…
Finite time blow-up in higher dimensional two species problem in the Cauchy problem
Tae Gab Ha, Seyun Kim
In this paper, we study the blow-up radial solution of fully parabolic system with higher dimensional two species Cauchy problem for some initial condition. In addition, we show th…
Global bounded solution of the chemotaxis attraction repulsion Cauchy problem with the nonlinear signal production in
Tae Gab Ha, Seyun Kim
In this paper, we consider the following attraction repulsion chemotaxis model with nonlinear signal term: \begin{align*} &u_{t}=\nabla \cdot(\nabla u-ξ_{1} u \nabla v +ξ_{2} u \na…