84 citations · 440 across the 50 of their papers we have counts for
10 papers · 2 filters
Sharp estimates for wave equations with non-integrable speeds
Halit Sevki Aslan, Wenhui Chen
We study the large-time behavior of the displacement for wave equations with non-integrable speeds and zero initial displacement. For initial velocities in , we derive…
The critical exponent for the two-dimensional semilinear wave equation with strong damping
Wenhui Chen
In this manuscript, we determine the critical exponent for the two-dimensional semilinear wave equation with strong damping. A recent result in D'Abbicco (arXiv, 2026) gives global…
Blow-up criteria and lifespan estimates for semilinear wave equations with time-dependent damping and mass
Wenhui Chen, Mohamed Ali Hamza
We consider semilinear wave equations with time-dependent damping and mass and a derivative-type nonlinearity. By applying a Liouville transformation and solving a Volterra integra…
The critical exponent for the three-dimensional semilinear wave equation with strong damping
Wenhui Chen
In this manuscript, we determine the critical exponent for the three-dimensional semilinear wave equation with strong damping and thereby resolve an open problem posed in 2014. The…
Semilinear damped wave equation on a compact Lie group with a non-autonomous forcing term
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present note, we consider a semilinear damped wave equation on a compact Lie group with a non-autonomous nonlinearity . We are interested in describing how the no…
Sharp lifespan estimates for Nakao's problem in one space dimension
Wenhui Chen
In this paper, we consider Nakao's problem in one space dimension, which couples a semilinear damped wave equation with a semilinear wave equation. For compactly supported energy d…
Small data global in-time existence for Nakao's problem in two and three space dimensions
Wenhui Chen
We study Nakao's problem in two and three space dimensions, a weakly coupled system consisting of a semilinear damped wave equation and a semilinear undamped wave equation. We esta…
Large time intrinsic growth and asymptotic behavior for the classical Timoshenko system
Wenhui Chen
In this paper, we investigate the large time behavior of solutions to the classical Timoshenko system in the whole space . Although the system is conservative and its n…
Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group
Wenhui Chen, Alessandro Palmieri
In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particula…
Large time asymptotic behavior for the weakly damped Jordan-Moore-Gibson-Thompson equation
Wenhui Chen, Yan Liu, Manqing Luo
This manuscript considers the Jordan-Moore-Gibson-Thompson (JMGT) equation and its linearized equation with an additional weak damping term (proposed by [B. Kaltenbacher, \emph{Inv…