Positivity of the temperature for phase transitions with micro-movements

DOI10.1016/j.nonrwa.2005.08.004zbMath1116.80015OpenAlexW2120903916MaRDI QIDQ864224

Giulio Schimperna, Ulisse Stefanelli

Publication date: 13 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.08.004

zbMATH Keywords

phase transitionmaximin principlemicroscopic movements

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Maximum principles in context of PDEs (35B50)

Related Items (6)

Well-posedness results for a model of damage in thermoviscoelastic materials ⋮ Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials ⋮ A three-dimensional model of the thermomechanical behavior of shape memory alloys ⋮ Positivity of temperature for some non-isothermal fluid models ⋮ Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact ⋮ Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains

Cites Work

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• Global existence for a class of generalized systems for irreversible phase changes
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
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• CONVERGENCE RESULTS FOR A PHASE TRANSITION MODEL WITH VANISHING MICROSCOPIC ACCELERATION
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