[HTML][HTML] Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
NA Lai, NM Schiavone, H Takamura - Journal of Differential Equations, 2020 - Elsevier
In this work we consider several semilinear damped wave equations with “subcritical”
nonlinearities, focusing on studying lifespan estimates for energy solutions. Our main …
nonlinearities, focusing on studying lifespan estimates for energy solutions. Our main …
Global existence for semilinear wave equations with scaling invariant damping in 3-D
NA Lai, Y Zhou - Nonlinear Analysis, 2021 - Elsevier
Global existence for small data Cauchy problem of semilinear wave equations with scaling
invariant damping in 3-D is established in this work, assuming that the data are radial and …
invariant damping in 3-D is established in this work, assuming that the data are radial and …
Advection versus diffusion in Richtmyer-Meshkov mixing
FW Doss - Physics Letters A, 2022 - Elsevier
Abstract The Richtmyer-Meshkov (RM) instability is one of the most severe degradation
mechanisms for inertial confinement fusion (ICF), and mitigating it has been a priority for the …
mechanisms for inertial confinement fusion (ICF), and mitigating it has been a priority for the …
Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with 𝐿^{𝑟}-data
T Inui, H Mizutani - Proceedings of the American Mathematical Society, 2021 - ams.org
In the present paper, we consider the linear wave equation with the scale-invariant damping
and mass. It is known that the global behavior of the solution depends on the size of the …
and mass. It is known that the global behavior of the solution depends on the size of the …