84 citations · 440 across the 50 of their papers we have counts for
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A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain
Wenhui Chen, Ahmad Z. Fino
We study two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain, where . Assuming the smallness of initial da…
Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
Wenhui Chen, Ahmad Z. Fino
In this paper, we consider the initial boundary value problem in an exterior domain for semilinear strongly damped wave equations with power nonlinear term of the derivative-type $…
A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen, Alessandro Palmieri
In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type in the conservative case. We…
Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case
Wenhui Chen, Alessandro Palmieri
In this work, the Cauchy problem for the semilinear Moore-Gibson-Thompson (MGT) equation with power nonlinearity on the right-hand side is studied. Applying estim…
Asymptotic profiles of solutions for regularity-loss type generalized thermoelastic plate equations and their applications
Yan Liu, Wenhui Chen
In this paper, we consider generalized thermoelastic plate equations with Fourier's law of heat conduction. By introducing a threshold for decay properties of regularity-loss, we i…
Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions
Wenhui Chen
In this paper we study the Cauchy problem for doubly dissipative elastic waves in two space dimensions, where the damping terms consist of two different friction or structural damp…
Some remarks on Blow-up of solutions to Nakao's problem
Wenhui Chen, Michael Reissig
In this note we try to understand the blow-up of solutions to Nakao's problem by using nonlinear ordinary differential inequalities.
On the Cauchy problem for semilinear thermoelastic plate systems in the framework
Halit Sevki Aslan, Wenhui Chen
We mainly consider semilinear thermoelastic plate systems with general power nonlinearities in the whole space . By applying the Fourier analysis, some sharp $(L^q\ca…
Cauchy problem for thermoelastic plate equations with different damping mechanisms
Wenhui Chen
In this paper we study Cauchy problem for thermoelastic plate equations with friction or structural damping in , , where the heat conduction is modeled by Fou…