Our goal in this monograph is twofold. First, we would like to develop a robust method to
construct global time-quasiperiodic solutions of large families of quasilinear evolution …

In this paper we paralinearize the contour dynamics equation for sharp-fronts of α-SQG, for
any α∈(0, 1)∪(1, 2), close to a circular vortex. This turns out to be a quasi-linear …

In this paper, we obtained sufficient and necessary conditions for self-similar motions of
three point vortices in generalized two-dimensional fluid systems by reducing of Hamiltonian …

Quadratic Lifespan for the Sublinear $$\alpha $$ -SQG Sharp Front Problem | Journal of
Dynamics and Differential Equations Skip to main content Springer Nature Link Account Menu …

We prove the global existence of solutions with small and smooth initial data of a nonlinear
dispersive equation for the motion of generalized surface quasi-geostrophic (GSQG) fronts …

We consider the asymptotics of the one-dimensional cubic nonlinear Schr\" odinger
equation with an external potential $ V $ that does not admit bound states. Assuming that …

A broad conjecture, formulated by the authors in earlier work, reads as follows:" Cubic
defocusing dispersive one dimensional flows with small initial data have global dispersive …

We prove sharp $ L^\infty $ decay and modified scattering for the Hartree nonlinear Schr\"
odinger equation in dimensions $2 $ and $3 $ using the testing by wavepackets method of …

In this paper, we consider a family of piecewise constant solutions of the quasi-geostrophic
shallow-water (QGSW) equation, also known as Hasegawa-Mima equation in plasma …