Solvability of one-dimensional phase field systems associated with grain boundary motion
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Publication:1952289
DOI10.1007/s00208-012-0849-2zbMath1270.35008OpenAlexW2091243262MaRDI QIDQ1952289
Noriaki Yamazaki, Ken Shirakawa, Hiroshi Watanabe
Publication date: 30 May 2013
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-012-0849-2
Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular parabolic equations (35K67) PDEs with measure (35R06) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)
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Theory of functions of bounded variation and its applications ⋮ Constrained optimization problems governed by PDE models of grain boundary motions ⋮ Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion ⋮ A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy ⋮ Kobayashi-Warren-Carter system of singular type under dynamic boundary condition ⋮ Existence of solutions to the Kobayashi-Warren-Carter system ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems ⋮ Energy dissipative solutions to the Kobayashi–Warren–Carter system ⋮ Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation ⋮ Solvability for the non-isothermal Kobayashi-Warren-Carter system ⋮ Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint
Cites Work
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