6 papers
Unconditional Well-posedness for the MMT Equation on the Torus
Mahendra Panthee, James Patterson, Yuzhao Wang
We consider the initial value problem (IVP) for a two-parameter family of derivative nonlinear Schrödinger equations on the torus, known as the Majda-McLaughlin-Tabak (MMT) model…
Hyperbolic nonlinear Schrödinger equations on
Engin BaÅakoÄlu, 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 regul…
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…
Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
Engin BaÅakoÄlu, 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…
Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic -model
Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang
We study the fractional -measure (with order ) and the dynamical problem of its canonical stochastic quantization: the three-dimensional stochastic damped fractional…
Local well-posedness for the periodic Boltzmann equation with constant collision kernel
Engin BaÅakoÄlu, 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…