Shape optimization on the lateral boundary for multi-phase stefan problems

DOI10.1016/0362-546X(92)90131-WzbMath0767.35109OpenAlexW2061036982MaRDI QIDQ4030863

Atsushi Kadoya, Nobuyuki Kenmochi

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90131-w

zbMATH Keywords

approximationsexistence resultmixed boundary conditionenthalpy formulationDirichlet-Neumann boundary conditionsconvergence in the sense of Moscosmooth Neumann boundary condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)

Cites Work

• Periodic and almost periodic stability of solutions to degenerate parabolic equations
• Problèmes d'évolution dans les Hilberts et applications
• Convergence of convex sets and of solutions of variational inequalities
• Asymptotic behavior of solutions to a multi-phase Stefan problem
• A class of nonlinear elliptic—parabolic equations with time-dependent constraints
• Some results on the multi-phase stefan problem
• The Stefan Problem in Several Space Variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Shape optimization on the lateral boundary for multi-phase stefan problems