Local null controllability of one-phase Stefan problems in 2D star-shaped domains

DOI10.1007/s00028-017-0399-xzbMath1390.35108OpenAlexW2625433903MaRDI QIDQ1745976

Enrique Fernández-Cara, Reginaldo Demarque

Publication date: 18 April 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-017-0399-x

zbMATH Keywords

heat equationStefan problemnull controllabilityfree boundary problems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items

Remarks on the Control of Two-Phase Stefan Free-Boundary Problems ⋮ Null controllability of a 1D Stefan problem for the heat equation governed by a multiplicative control ⋮ Control of the Stefan problem in a periodic box ⋮ Controllability of the Stefan problem by the flatness approach ⋮ Local null controllability of a free-boundary problem for the quasi-linear 1D parabolic equation ⋮ Controllability of One-Dimensional Viscous Free Boundary Flows ⋮ Insensitizing controls of a 1D Stefan problem for the semilinear heat equation

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