Add to ORKGMI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...
AbstractIn this paper we study blow-up rates and the blow-up profiles of possible asymptotically sel...
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
Abstract. We discuss a methodology for studying the linear stability of self-similar solutions. We w...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
AbstractThis paper deals with large time behaviors of solutions to a Keller–Segel system which posse...
In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with cri...
In some cases, solutions to nonlinear PDEs happen to be asymptotically (for large x and/or t) invari...
AbstractThis paper deals with large time behaviors of solutions to a Keller–Segel system which posse...
While the choice of a norm in the space where an evolution problem is posed is ineffective as far as...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...
AbstractIn this paper we study blow-up rates and the blow-up profiles of possible asymptotically sel...
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
Abstract. We discuss a methodology for studying the linear stability of self-similar solutions. We w...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
AbstractThis paper deals with large time behaviors of solutions to a Keller–Segel system which posse...
In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with cri...
In some cases, solutions to nonlinear PDEs happen to be asymptotically (for large x and/or t) invari...
AbstractThis paper deals with large time behaviors of solutions to a Keller–Segel system which posse...
While the choice of a norm in the space where an evolution problem is posed is ineffective as far as...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
The long-time asymptotic solutions of initial value problems for the heat equation and the nonlinear...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...
AbstractIn this paper we study blow-up rates and the blow-up profiles of possible asymptotically sel...
We give the asymptotics of the Fourier transform of self-similar solutions to the modified Korteweg-...