Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid

DOI10.1137/18M1218546zbMath1455.35189MaRDI QIDQ5141940

Bianca Morelli Rodolfo Calsavara, Francisco Guillén-González

Publication date: 29 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

existence of weak solutionslatent heatinterface problemAllen-Cahn phase-field modelNavier-Stokes-Boussinesq

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for second-order parabolic systems (35K51)

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