activity
20242026
collaborators

4 papers

math.AP2026

On the well-posedness of the initial value problem for the MMT model

Mahendra Panthee, James Patterson, Yuzhao Wang

This work investigates the initial value problem (IVP) for the two-parameter family of dispersive wave equations known as the Majda-McLaughlin-Tabak (MMT) model, which arises in th…

math.AP2025

Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations

Engin Başakoğlu, Yuzhao Wang

We establish local well-posedness for the hyperbolic nonlinear Schrodinger equation (HNLS) in the critical spaces. Following the approach of Killip and Visan, we derive scale-invar…

math.AP2025

Hyperbolic nonlinear Schrödinger equations on

Engin Başakoğlu, Chenmin Sun, Nikolay Tzvetkov +1

In this paper, we consider the hyperbolic nonlinear Schrödinger equations (HNLS) on . We obtain the sharp local well-posedness up to the critical regula…

math.AP2024

Local well-posedness for the periodic Boltzmann equation with constant collision kernel

Engin Başakoğlu, Nikolay Tzvetkov, Chenmin Sun +1

We study the Boltzmann equation with the constant collision kernel in the case of spatially periodic domain , . Using the existing techniques from nonlinear…