## Watanabe, Hiroshi

Compute Distance To:
 Author ID: watanabe.hiroshi.6 Published as: Watanabe, Hiroshi; Watanabe, H.
 Documents Indexed: 18 Publications since 2009 Co-Authors: 4 Co-Authors with 11 Joint Publications 86 Co-Co-Authors
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### Co-Authors

 6 single-authored 9 Shirakawa, Ken 2 Moll, Salvador 2 Oharu, Shinnosuke 2 Yamazaki, Noriaki 1 Lee, Hwee Kuan 1 Okabe, Yutaka 1 Sashida, Satoshi
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### Serials

 5 Advances in Mathematical Sciences and Applications 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Differential Equations 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematica Bohemica 1 Advances in Differential Equations 1 New Journal of Physics 1 AIMS Mathematics

### Fields

 17 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

8 Publications have been cited 31 times in 11 Documents Cited by Year
Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008
Shirakawa, K.; Watanabe, H.; Yamazaki, N.
2013
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
2014
Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132
Shirakawa, Ken; Watanabe, Hiroshi
2014
Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250
Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi
2017
Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113
Watanabe, Hiroshi; Shirakawa, Ken
2014
Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030
Watanabe, Hiroshi; Shirakawa, Ken
2015
$$BV$$-entropy solutions to strongly degenerate parabolic equations. Zbl 1215.35094
Watanabe, Hiroshi; Oharu, Shinnosuke
2010
Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025
Watanabe, Hiroshi; Shirakawa, Ken
2020
Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. Zbl 1455.35025
Watanabe, Hiroshi; Shirakawa, Ken
2020
Energy dissipative solutions to the Kobayashi-Warren-Carter system. Zbl 1386.35250
Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi
2017
Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. Zbl 1343.35030
Watanabe, Hiroshi; Shirakawa, Ken
2015
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
2014
Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. Zbl 1275.35132
Shirakawa, Ken; Watanabe, Hiroshi
2014
Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system. Zbl 1340.35113
Watanabe, Hiroshi; Shirakawa, Ken
2014
Solvability of one-dimensional phase field systems associated with grain boundary motion. Zbl 1270.35008
Shirakawa, K.; Watanabe, H.; Yamazaki, N.
2013
$$BV$$-entropy solutions to strongly degenerate parabolic equations. Zbl 1215.35094
Watanabe, Hiroshi; Oharu, Shinnosuke
2010
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### Cited by 11 Authors

 8 Shirakawa, Ken 5 Watanabe, Hiroshi 3 Kubota, Shodai 3 Moll, Salvador 2 Antil, Harbir 2 Yamazaki, Noriaki 1 Colli, Pierluigi 1 Giga, Mi-Ho 1 Giga, Yoshikazu 1 Gilardi, Gianni 1 Nakayashiki, Ryota
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### Cited in 9 Serials

 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinearity 1 Japan Journal of Industrial and Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Mathematical Control and Related Fields 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Advances in Nonlinear Analysis

### Cited in 5 Fields

 11 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)