Global weak solutions exist for a thermodynamically consistent 3D thermo-viscoelastic Giesekus fluid model without smallness, regularity restrictions, or artificial stress diffusion.
Feireisl.Dynamics of viscous compressible fluids, volume 26 ofOxford Lecture Series in Mathematics and its Applications
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As the Mach number tends to zero under well-prepared data, the bi-fluid compressible system converges to the incompressible non-homogeneous fluid system with transported volume fractions.
Effective kinetic equations are derived for persistent oscillations in one-dimensional viscoelasticity and barotropic compressible Navier-Stokes by coupling a kinetic description to the macroscopic flow using ideas from kinetic formulations of conservation laws.
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On three-dimensional flows of thermo-viscoelastic fluids of Giesekus type
Global weak solutions exist for a thermodynamically consistent 3D thermo-viscoelastic Giesekus fluid model without smallness, regularity restrictions, or artificial stress diffusion.
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Low-Mach-number limit of a compressible two-phase flow system with algebraic closure
As the Mach number tends to zero under well-prepared data, the bi-fluid compressible system converges to the incompressible non-homogeneous fluid system with transported volume fractions.
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Derivation of effective kinetic equations describing oscillations in viscoelasticity and in compressible Navier-Stokes
Effective kinetic equations are derived for persistent oscillations in one-dimensional viscoelasticity and barotropic compressible Navier-Stokes by coupling a kinetic description to the macroscopic flow using ideas from kinetic formulations of conservation laws.