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 to appear 2026
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