Well-posedness of a pseudo-parabolic KWC system in materials science

Dynamics of phase boundaries in solids (74N20) Variational methods applied to PDEs (35A15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

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Existence of solutions to the Kobayashi-Warren-Carter system
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Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
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Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations
A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy
Variational Analysis in Sobolev and BV Spaces
A relaxation result in BV for integral functionals with discontinuous integrands
Energy dissipative solutions to the Kobayashi–Warren–Carter system
A class of parabolic systems associated with optimal controls of grain boundary motions
Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions
Kobayashi-Warren-Carter system of singular type under dynamic boundary condition

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