Existence result for the one-dimensional full model of phase transitions

DOI10.4171/ZAA/1081zbMath1003.80003MaRDI QIDQ699304

Fabio Luterotti, Ulisse Stefanelli

Publication date: 2 February 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

phase field modelphase transitions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Maximum principles in context of PDEs (35B50)

Related Items (16)

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. ⋮ Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements ⋮ Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids ⋮ Positivity of the temperature for phase transitions with micro-movements ⋮ Global solution to a generalized nonisothermal Ginzburg-Landau system. ⋮ Global existence for a hydrogen storage model with full energy balance ⋮ Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements ⋮ Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials ⋮ A degenerating PDE system for phase transitions and damage ⋮ Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys ⋮ Existence of solutions to a phase transition model with microscopic movements ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ Positivity of temperature for some non-isothermal fluid models ⋮ Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions ⋮ Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact ⋮ On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

Cites Work

• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
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