研究者総覧 - 渡邉　紘

ワタナベ　ヒロシ
渡邉　紘

所属大分大学理工学部数理科学プログラム

職種准教授

論文
論文	Existence and uniqueness results for phase-field systems of grain boundary motion with 3D-crystalline orientation Interfaces and Free Boundaries online first 2026/05
論文	On equivalence of entropy and viscosity solutions to degenerate parabolic equations and applications Proceedings of the American Mathematical Society 153 (11),4845-4857頁 2025/11
論文	N-wave-like properties for entropy solutions to scalar parabolic-hyperbolic conservation laws Nonlinear Analysis: Real World Applications (Available online) 2024/11
論文	Large-time behavior for a phase-field system of 3D-grain boundary motion SIAM Journal on Mathematical Analysis 56 (5),6885-6914頁 2024/10
論文	Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow Journal of Nonlinear Science 33 (5) 2023/06/09
論文	Particular solutions to one-dimensional Cauchy problems for scalar parabolic–hyperbolic conservation laws and their applications Nonlinear Differential Equations and Applications NoDEA 29 (4) 2022/07
論文	Kobayashi–Warren–Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation Nonlinear Analysis 217,112722-112722頁 2022/04
論文	Traveling waves to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws J. Differential Equations 286,474-493頁 2021/06
論文	Energy-dissipation in a coupled system of Allen--Cahn type equation and Kobayashi--Warren--Carter type model of grain boundary motion Mathematical Methods in the Applied Sciences 43 (17),10138-10167頁 2020/08
論文	Energy dissipative solutions to the Kobayashi-Warren-Carter system NONLINEARITY 30 (7),2752-2784頁 2017/07
論文	Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients Proceedings of EQUADIFF 2017,315-324頁 2017
論文	Solvability for the non-isothermal Kobayashi-Warren-Carter system AIMS Mathematics 1 (2),161-194頁 2017
論文	Strongly degenerate parabolic equations with variable coefficients Adv. Math. Sci. Appl. (26),143-173頁 2017
論文	Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint Dynamical Systems, Differential Equations and Applications, Discrete Contin. Dyn. Syst.-Proceedings 2014, Dedicated to the 10th AIMS Conference, Madrid, Spain,1009-1018頁 2015
論文	ENERGY-DISSIPATIVE SOLUTION TO A ONE-DIMENSIONAL PHASE FIELD MODEL OF GRAIN BOUNDARY MOTION DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 7 (1),139-159頁 2014/02
論文	SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR STRONGLY DEGENERATE PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 7 (1),177-189頁 2014/02
論文	Phase-field systems for grain boundary motions under isothermal solidifications Adv. Math. Sci. Appl. 2 (24),353-400頁 2014
論文	Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system Mathematica Bohemica 2 (139),381-389頁 2014
論文	Solvability of one-dimensional phase field systems associated with grain boundary motion MATHEMATISCHE ANNALEN 356 (1),301-330頁 2013/05
論文	Entropy solutions to strongly degenerate parabolic equations with zero-flux boundary conditions Advances in Mathematical Sciences and Applications 1 (23),209-234頁 2013
論文	Existence and uniqueness of entropy solutions to strongly degenerate parabolic equations with discontinuous coefficients Dynamical Systems, Differential Equations and Applications, Discrete Contin. Dyn. Syst.-Proceedings 2013, Dedicated to the 9th AIMS Conference, Orlando, Florida, USA,781-790頁 2013
論文	Qualitative properties of a one-dimensional phase-field system associated with grain boundary GAKUTO Internat. Ser. Math. Sci. Appl. (36),301-328頁 2013
論文	BV-ENTROPY SOLUTIONS TO STRONGLY DEGENERATE PARABOLIC EQUATIONS ADVANCES IN DIFFERENTIAL EQUATIONS 15 (7-8),757-800頁 2010/07
論文	Finite-difference approximations to a class of strongly degenerate parabolic equations Advances in Mathematical Sciences and Applications 2 (20),319-347頁 2010
論文	A uniqueness theorem of the BV solutions to nonlinear degenerate parabolic equations Advances in Mathematical Sciences and Applications 2 (19),415-427頁 2009