Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating
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Publication:5450679
DOI10.1017/S0956792507007061zbMath1132.80002arXivmath-ph/0512086MaRDI QIDQ5450679
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Publication date: 13 March 2008
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0512086
Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)
Related Items (8)
Collision of solitons in non-integrable versions of the Degasperis-Procesi model ⋮ A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws ⋮ Numerical and analytic investigation of a free boundary confluence for the phase field system ⋮ Asymptotic Maslov’s method for shocks of conservation laws systems with quadratic flux ⋮ Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process ⋮ Delta shock wave formation in the case of triangular hyperbolic system of conservation laws ⋮ Weak asymptotic methods for scalar equations and systems ⋮ Shock wave formation process for a multidimensional scalar conservation law
Cites Work
- Generalized solutions describing singularity interaction
- Hugoniot-type conditions and weak solutions to the phase-field system
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- Global in time solution to the Hele-Shaw problem with a change of topology
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