ON THE DOI MODEL FOR THE SUSPENSIONS OF ROD-LIKE MOLECULES IN COMPRESSIBLE FLUIDS

DOI10.1142/S0218202512500273zbMath1251.35065MaRDI QIDQ3166765

Konstantina Trivisa, Hantaek Bae

Publication date: 15 October 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

compressible Navier-Stokes equationsfluid-particle interaction modelDoi modelsuspensions of rod-like moleculesFokker-Planck-type equation

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Non-existence of mean-field models for particle orientations in suspensions ⋮ On a free boundary problem for polymeric fluids: global existence of weak solutions ⋮ Derivation of the viscoelastic stress in Stokes flows induced by nonspherical Brownian rigid particles through homogenization ⋮ Weak dissipative solutions to a free-boundary problem for finitely extensible bead-spring chain molecules: variable viscosity coefficients ⋮ On a free boundary problem for finitely extensible bead-spring chain molecules in dilute polymers ⋮ Existence of global weak solutions to compressible isentropic finitely extensible bead-spring chain models for dilute polymers ⋮ Global well-posedness of strong solutions of Doi model with large viscous stress

Cites Work

• On the dynamics of a fluid-particle interaction model: the bubbling regime
• Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
• Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
• Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes
• Global existence of weak solutions to some micro-macro models
• Continuity of velocity gradients in suspensions of rod-like molecules
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Nonlinear Fokker-Planck Navier-Stokes systems
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
• Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.

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