Yusuke Murase
Yusuke Murase has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
- Atsushi Kadoya
Hiroshima Shudo University
1 shared publication - Ken Shirakawa1 shared publication
- Naoki Sato
Nagaoka Coll, Natl Inst Technol, Div Gen Educ, 888 Nishikatakai, Nagaoka, Niigata 9408532, Japan
1 shared publication - Nobuyuki Kenmochi1 shared publication
- Risei Kano
Research and Education Faculty Humanities and Social Science Cluster Kochi University 2-5-1 Akebono-cho 780-8520 Kochi Japan
1 shared publication - Toyohiko Aiki
Japan Womens Univ, Fac Sci, Dept Math, Tokyo 1128681, Japan
1 shared publication
Latest Publications
- Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 655-668
A one dimensional free boundary problem for adsorption phenomena
In this paper we deal with a one-dimensional free boundary problem, which is a mathematical model for an adsorption phenomena appearing in concrete carbonation process. This model was proposed in line of previous studies of three dimensional concrete carbonation process. The main result in this paper is concerned with the existence and uniqueness of a time-local solution to the free boundary problem. This result will be obtained by means of the abstract theory of nonlinear evolution equations and Banach's fixed point theorem, and especially, the maximum principle applied to our problem will play a very important role to obtain the uniform estimate to approximate solutions.
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 655-668
Open AccessA one dimensional free boundary problem for adsorption phenomena
In this paper we deal with a one-dimensional free boundary problem, which is a mathematical model for an adsorption phenomena appearing in concrete carbonation process. This model was proposed in line of previous studies of three dimensional concrete carbonation process. The main result in this paper is concerned with the existence and uniqueness of a time-local solution to the free boundary problem. This result will be obtained by means of the abstract theory of nonlinear evolution equations and Banach's fixed point theorem, and especially, the maximum principle applied to our problem will play a very important role to obtain the uniform estimate to approximate solutions.
- 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 2011
- Published by American Institute of Mathematical Sciences (AIMS)
- Vol. 2011 (Special) , 1101
Optimal control problems for quasi-variational inequalities and its numerical approximation
- 1 January 2011
- Published by American Institute of Mathematical Sciences (AIMS)
- Vol. 2011 (Special) , 1101
Open AccessOptimal control problems for quasi-variational inequalities and its numerical approximation