5 papers · 1 filter
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…
Entropy maximizers for kinetic wave equations set on tori
Miguel Escobedo, Pierre Germain, Joonhyun La +1
We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy…
Local Well-posedness for the Kinetic MMT Model
Pierre Germain, Joonhyun La, Katherine Zhiyuan Zhang
The MMT equation was proposed by Majda, McLaughlin and Tabak as a model to study wave turbulence. We focus on the kinetic equation associated to this Hamiltonian system, which is b…
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…