5 papers
Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
Engin BaÅakoÄlu, Faruk Temur, OÄuz Yılmaz
We study the defocusing stochastic generalized Korteweg-de Vries equations (sgKdV) driven by additive noise, with a focus on mass-critical and supercritical nonlinearities. For int…
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…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin BaÅakoÄlu, Tadahiro Oh, Yuzhao Wang
We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schrödinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourie…
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
Engin BaÅakoÄlu, Faruk Temur, BarıŠYeÅiloÄlu +1
We study the scattering for the energy-subcritical stochastic nonlinear Schrödinger equation (SNLS) with additive noise. In particular, we examine the long-time behavior of soluti…
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…