Korteweg fluid constitutive equations are derived via Liu's multipliers with capillary effects in entropy, allowing temperature-dependent material parameters in stresses and producing a generalized Gibbs relation consistent with kinetic theory.
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A structure-preserving conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system that exactly preserves entropy production and conserves energy up to negative dissipation.
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Constitutive Modelling of Korteweg Fluids Using Liu's Method
Korteweg fluid constitutive equations are derived via Liu's multipliers with capillary effects in entropy, allowing temperature-dependent material parameters in stresses and producing a generalized Gibbs relation consistent with kinetic theory.
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Structure-preserving approximation for non-isothermal phase-field models in melt flow
A structure-preserving conforming finite-element scheme for the non-isothermal Allen-Cahn-Navier-Stokes system that exactly preserves entropy production and conserves energy up to negative dissipation.