Stability of Equilibria for the Stefan Problem With Surface Tension
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Publication:3617214
DOI10.1137/070700632zbMath1157.35502OpenAlexW1987055970MaRDI QIDQ3617214
Publication date: 27 March 2009
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070700632
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)
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On thermodynamically consistent Stefan problems with variable surface energy ⋮ Immersed finite element method for eigenvalue problem ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities ⋮ Multiplication in vector‐valued anisotropic function spaces and applications to non‐linear partial differential equations ⋮ Fractional Stefan problem: a survey of the recent results ⋮ Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension ⋮ Global solutions for a two-phase Hele-Shaw bubble for a near-circular initial shape ⋮ Center manifolds and attractivity for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions ⋮ Stability in the Stefan Problem with Surface Tension (I) ⋮ Stefan problem ⋮ Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension ⋮ On convergence of solutions to equilibria for quasilinear parabolic problems ⋮ A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point
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