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math.AP2023★ 1 cited
Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa
In this article we investigate the asymptotic profile of solutions for the Cauchy problem of the nonlinear damped beam equation with two variable coefficients: \[ \partial_t^2 u +…
math.AP2023
Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi +1
Lifespan estimates for semilinear damped wave equations of the form in a two dimensional exterior domain endowed with the Dirichlet boundary co…
math.AP2023★ 9 cited
Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations
Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
We study the stationary Navier--Stokes equations in the region between two rotating concentric cylinders. We first prove that, under the small Reynolds number, if the fluid is axis…