5 papers · 1 filter
Projection-Lift Equivalence and Dissipation-Tight Compactness for Continuum-State FENE-Markov Fluids
Sai Peng
We consider incompressible FENE dumbbells coupled to a reversible Markov operator on a compact continuum of internal states. At zero centre-of-mass diffusion we prove that state av…
Hopf Obstruction and Transported Forced Brakke Motion in Ordered Viscoelastic Cores
Sai Peng
We study topological relaxation in ordered viscoelastic conformation flows at finite epsilon. In an ordered region, a positive spectral gap selects an oriented principal axis and h…
Residual-Work Compatibility Criteria and Defect-Measure Compactness for Positive-Cone Viscoelastic Reynolds States
Sai Peng
We prove a residual-work compatibility theory for positive-cone viscoelastic Reynolds states. In Oldroyd--B, the entropy cancellation eliminates incompressible transport and upper-…
Pressure Quotients and Endpoint Velocity-Clock Criteria for Non-Diffusive Viscoelastic Flows
Sai Peng
We prove endpoint continuation criteria for stress-diffusion-free incompressible viscoelastic flows by working modulo pressure. In two space dimensions, the pressure-free part of a…
Three-Dimensional Positive-Cone Oldroyd-B Flows:Geometric Continuation and Residual-Work Criteria
Sai Peng
We prove a three-dimensional positive-cone continuation criterion for the stress-diffusion-free Oldroyd-B system on the periodic torus. Writing the positive conformation tensor as…