4 papers
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…