Weak-renormalized solutions for a system that models non-isothermal solidification

DOI10.1007/BF03322607zbMath1260.35073MaRDI QIDQ1946905

Enrique Fernández-Cara, Cristina L. D. Vaz

Publication date: 10 April 2013

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsrenormalized solutionsparabolic PDEssolidification models

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Navier-Stokes equations (35Q30)

Related Items (1)

On certain mathematical models in continuum thermomechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak-renormalized solution for a nonlinear Boussinesq system.
• A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Nonlinear elliptic and parabolic equations involving measure data
• Existence and uniqueness of weak-renormalized solutions of a nonlinear Boussinesq system
• Renormalized estimates for solutions to the Navier-Stokes equation
• An analysis of a phase field model of a free boundary
• On the Fokker-Planck-Boltzmann equation
• A generalized phase-field system
• Modeling melt convection in phase-field simulations of solidification
• A phase-field model of solidification with convection
• Truncations and monotonicity methods for parabolic equations
• Renormalized Solutions to a Nonlinear Parabolic-Elliptic System
• On the motion of a viscous, compressible, and heat conducting fluid
• Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems

This page was built for publication: Weak-renormalized solutions for a system that models non-isothermal solidification