On the Stefan problem with a small parameter

• Autorzy: Galina I. Bizhanova
• Języki publikacji: EN

Abstrakty

EN

We consider the multidimensional two-phase Stefan problem with a small parameter κ in the Stefan condition, due to which the problem becomes singularly perturbed. We prove unique solvability and a coercive uniform (with respect to κ) estimate of the solution of the Stefan problem for t ≤ T₀, T₀ independent of κ, and the existence and estimate of the solution of the Florin problem (Stefan problem with κ = 0) in Hölder spaces.

Kategorie tematyczne

• 80A22: Stefan problems, phase changes, etc.
• 35R35: Free boundary problems
• 35K60: Nonlinear initial value problems for linear parabolic equations
• 35B25: Singular perturbations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 43-63

Daty

wydano

2008

Twórcy

autor

Galina I. Bizhanova

• Institute of Mathematics, Pushkin St. 125, Almaty, 050010, Kazakhstan

Identyfikatory

DOI

10.4064/bc81-0-3