Risei Kano
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Risei Kano has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Takeshi Fukao
Department of Mathematics, Faculty of Education, Kyoto University of Education, Kyoto, Japan
1 shared publication - Yusuke Murase1 shared publication
Latest Publications
- Open Access
Time-dependence of the threshold function in the perfect plasticity model
This paper discusses the time-dependence of the threshold function in the perfect plasticity model. In physical terms, it is natural that the threshold function depends on some unknown variable. Therefore, it is meaningful to discuss the well-posedness of this function under the weaker assumption of time-dependence. Time-dependence is also interesting from the viewpoint of the abstract evolution equation. To prove the existence of a solution to the perfect plasticity model, the recent abstract theory under the continuous class with respect to time is used.
Open AccessTime-dependence of the threshold function in the perfect plasticity model
This paper discusses the time-dependence of the threshold function in the perfect plasticity model. In physical terms, it is natural that the threshold function depends on some unknown variable. Therefore, it is meaningful to discuss the well-posedness of this function under the weaker assumption of time-dependence. Time-dependence is also interesting from the viewpoint of the abstract evolution equation. To prove the existence of a solution to the perfect plasticity model, the recent abstract theory under the continuous class with respect to time is used.
- Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 75-93
Solvability of nonlinear evolution equations generated by subdifferentials and perturbations
The main objective of this paper is to discuss solvability of the Cauchy problem of an evolution equation with subdifferentials of convex functions which is generated by unknown functions and perturbations of the form: $ u'(t) + ∂ \varphi^t(u;u(t)) + G(u(t)) \ni f(t) $ 0 < t < T, in H. where H is a Hilbert space, $u'=\frac{du}{dt}$, and $∂ \varphi^t(u;\cdot )$ is a subdifferential operator of convex function $\varphi^t(u;\cdot )$. The evolution equation corresponds to parabolic quasi-variational inequalities.- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 75-93
Open AccessSolvability of nonlinear evolution equations generated by subdifferentials and perturbations
The main objective of this paper is to discuss solvability of the Cauchy problem of an evolution equation with subdifferentials of convex functions which is generated by unknown functions and perturbations of the form: $ u'(t) + ∂ \varphi^t(u;u(t)) + G(u(t)) \ni f(t) $ 0 < t < T, in H. where H is a Hilbert space, $u'=\frac{du}{dt}$, and $∂ \varphi^t(u;\cdot )$ is a subdifferential operator of convex function $\varphi^t(u;\cdot )$. The evolution equation corresponds to parabolic quasi-variational inequalities. - Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 63-74
The existence of solutions for tumor invasion models with time and space dependent diffusion
We shall show the existence of a solution for a nonlinear parabolic system. This system is a tumor invasion model which has the time and space dependent diffusion coefficient. In this paper, we apply an existence result for Quasi-Variational Inequalities. Quasi-Variational Inequality is a problem to find a function which satisfies a variational inequality in which the constraint depends upon the unknown function. In this paper, I shall show how to approach to our tumor invasion model by Quasi-Variational inequality, and obtain a solution for it.
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 63-74
Open AccessThe existence of solutions for tumor invasion models with time and space dependent diffusion
We shall show the existence of a solution for a nonlinear parabolic system. This system is a tumor invasion model which has the time and space dependent diffusion coefficient. In this paper, we apply an existence result for Quasi-Variational Inequalities. Quasi-Variational Inequality is a problem to find a function which satisfies a variational inequality in which the constraint depends upon the unknown function. In this paper, I shall show how to approach to our tumor invasion model by Quasi-Variational inequality, and obtain a solution for it.