4 citations · 9 across the 5 of their papers we have counts for
5 papers
Asymptotic profiles for the Cauchy problem of semilinear beam equation with two variable coefficients in the subcritical case
Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa
In this article, we investigate the asymptotic profile of solutions to the Cauchy problem for a nonlinear beam equation with two variable coefficients in the subcritical nonlinear…
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 +…
Structure-preserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions
Akihiro Umeda, Yuta Wakasugi, Shuji Yoshikawa
In this article we discuss the numerical analysis for the finite difference scheme of the one-dimensional nonlinear wave equations with dynamic boundary conditions. From the viewpo…
A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition
Makoto Okumura, Takeshi Fukao, Daisuke Furihata +1
We propose a structure-preserving finite difference scheme for the Cahn-Hilliard equation with a dynamic boundary condition using the discrete variational derivative method (DVDM).…
Pathwise existence of solutions to the Implicit Euler method for the stochastic Cahn-Hilliard Equation
Daisuke Furihata, Fredrik Lindgren, Shuji Yoshikawa
We consider the implicit Euler approximation of the stochastic Cahn-Hilliard equation driven by additive Gaussian noise in a spatial domain with smooth boundary in dimension $d\le…