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Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao, Hiroshi Takeda
In this paper, we consider the Cauchy problem for semi-linear wave equations with structural damping term , where is a constant. As being mentioned in [8,10], th…
The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations
Tuan Anh Dao, Michael Reissig
We would like to study a weakly coupled system of semi-linear classical damped wave equations with moduli of continuity in nonlinearities whose powers belong to the critical curve…
Critical exponent for semi-linear structurally damped wave equation of derivative type
Tuan Anh Dao, Ahmad Z. Fino
Main purpose of this paper is to study the following semi-linear structurally damped wave equation with nonlinearity of derivative type: $$u_{tt}- Δu+ μ(-Δ)^{σ/2} u_t= |u_t|^p,\qua…
On the Cauchy problem for semilinear regularity-loss-type -evolution models with memory term
Wenhui Chen, Tuan Anh Dao
In this paper, we consider the Cauchy problem for semilinear -evolution models with an exponential decay memory term. Concerning the corresponding linear Cauchy problem, we deri…
Blow up results for semi-linear structural damped wave model with nonlinear memory
Tuan Anh Dao, Ahmad Z. Fino
This article is to study the nonexistence of global solutions to semi-linear structurally damped wave equation with nonlinear memory in for any space dimensions and…
Some - estimates for solutions to visco-elastic damped -evolution models
Tuan Anh Dao
This note is to conclude estimates for solutions to the following Cauchy problem for visco-elastic damped -evolution models: \begin{equation} \begin{cases} u_{tt}+ (-Δ…