Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. IV: On thermostatic stability and well- posedness

DOI10.1515/jnet.1989.14.1.1zbMath0728.73008OpenAlexW2008216762MaRDI QIDQ805339

Kolumban Hutter, Thorsten Alts

Publication date: 1989

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1989.14.1.1

zbMATH Keywords

linearized problemconstant temperaturecentrally heated liquid sphereinfinite blockreversible phase change surfacesspherical water inclusionsthermostatic stability

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items

Phase change interactions and singular fronts, Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger, Energy methods for nonlinear stability in convection problems primarily related to geophysics

Cites Work

• Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. III: Thermostatics and its consequences
• The principle of determinism and thermodynamics of simple fluids with thermo-kinematic constraints
• Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. I. Surface balance laws and their interpretation in terms of three-dimensional balance laws averaged over the phase change boundary layer. II. Thermodynamics
• Thermodynamics and stability