5 papers · 1 filter
Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids
Theodore D. Drivas, Tarek M. Elgindi, Joonhyun La
We show that certain singular structures (Hölderian cusps and mild divergences) are transported by the flow of homeomorphisms generated by an Osgood velocity field. The structure o…
Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications
Peter Constantin, Joonhyun La, Vlad Vicol
We describe a method to construct smooth and compactly supported solutions of 3D incompressible Euler equations and related models. The method is based on localizable Grad-Shafrano…
Global well-posedness of strong solutions of Doi model with large viscous stress
Joonhyun La
We study models of dilute rigid rod-like polymer solutions. We establish the global well-posedness the Doi model for large data, and for arbitrarily large viscous stress parameter.…
Decay of solutions of diffusive Oldroyd-B system in
Joonhyun La
We show that strong solutions of 2D diffusive Oldroyd-B systems in decay at an algebraic rate, for a large class of initial data. The main ingredient for the proof i…
On diffusive 2D Fokker-Planck-Navier-Stokes systems
Joonhyun La
We study models kinetic models of polymeric fluids. We introduce a notion of solutions which is based on moments of polymeric distributions. We prove global existence and uniquenes…