Properties of solutions of the inverse Stefan problem
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Publication:1033590
DOI10.1023/A:1025120024905zbMath1181.35331OpenAlexW48583103MaRDI QIDQ1033590
Publication date: 6 November 2009
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1025120024905
Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Inverse problems in thermodynamics and heat transfer (80A23)
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On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes ⋮ A meshless method for an inverse two-phase one-dimensional linear Stefan problem ⋮ On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences ⋮ A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem ⋮ Optimal Stefan problem ⋮ Using the swarm intelligence algorithms in solution of the two-dimensional inverse Stefan problem ⋮ Optimal control of multiphase free boundary problems for nonlinear parabolic equations ⋮ On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes ⋮ Optimal control of the multiphase Stefan problem
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