1 citations · 1 across the 7 of their papers we have counts for
8 papers
Global Well-posedness and Scattering for Stochastic generalized KdV Equations with additive noise
Engin Başakoğlu, Faruk Temur, Oğuz 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 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…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin Başakoğlu, 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 Fourier…
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
Engin Başakoğlu, Faruk Temur, Barış Yeşiloğlu +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 solutio…
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…
Global Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on
Engin Başakoğlu, Barış Yeşiloğlu, Oğuz Yılmaz
We study the global well-posedness of the two-dimensional defocusing fourth-order Schrödinger initial value problem with power type nonlinearities where is…
Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on
Engin Başakoğlu, T. Burak Gürel, Oğuz Yılmaz
We prove that the Cauchy problem for the 2D quintic defocusing biharmonic Schrödinger equation is globally well-posed in the Sobolev spaces for $\frac{8}{7}<s<2…
Smoothing and Global Attractors for the Hirota-Satsuma System on the Torus
Engin Başakoğlu, T. Burak Gürel
We consider the Hirota-Satsuma system, a coupled KdV-type system, with periodic boundary conditions. The first part of the paper concerns with the smoothing estimates for the syste…