3 papers
math.AP2023
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…
math.AP2023
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…
math.AP2022
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…