22 citations · 36 across the 13 of their papers we have counts for
13 papers
Lagrangian aspects of Yudovich theory for 2D Euler
Theodore D. Drivas, Joonhyun La
In this note, we establish Yudovich's existence and uniqueness result for bounded (as well as mildly unbounded) vorticity weak solution of the two-dimensional incompressible Euler…
A uniform bound for solutions to a thermo-diffusive system
Joonhyun La, Jean-Michel Roquejoffre, Lenya Ryzhik
We obtain uniform in time -bounds for the solutions to a class of thermo-diffusive systems. The nonlinearity is assumed to be at most sub-exponentially growing at infinit…
Regularity and drift by Osgood vector fields
Joonhyun La
We consider the problem of loss and propagation of regularity of transport equation with Osgood vector field. As an application, we obtain a quantitative stability estimate for 2D…
Vorticity convergence from Boltzmann to 2D incompressible Euler equations below Yudovich class
Chanwoo Kim, Joonhyun La
It is challenging to perform a multiscale analysis of mesoscopic systems exhibiting singularities at the macroscopic scale. In this paper, we study the hydrodynamic limit of the Bo…
A uniform bound for solutions to a thermo-diffusive system
Joonhyun La, Lenya Ryzhik
We obtain uniform in time bounds for the solutions to a class of thermo-diffusive systems with classical and fractional diffusions. In the classical diffusion case, the nonlinearit…
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…