From the 2 of 9 linked papers with an AI index.
9 papers
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 n…
Sharp lifespan estimates and a Huygens-type effect for one-dimensional Nakao's problem
Wenhui Chen
The paper investigates how long small‑amplitude solutions persist for a one‑dimensional system coupling a semilinear damped wave equation with a semilinear wave equation, providing…
Small data global in-time existence for Nakao's problem in two and three space dimensions
Wenhui Chen
The paper proves global-in-time existence and uniqueness of small‑data Sobolev solutions for Nakao's coupled damped and undamped wave equations in two and three dimensions, and sho…
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…