1 citations · 2 across the 4 of their papers we have counts for
6 papers
Logarithmic spirals in 2d perfect fluids
In-Jee Jeong, Ayman R. Said
We study logarithmic spiraling solutions to the 2d incompressible Euler equations which solve a nonlinear transport system on . We show that this system is locally well…
On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications
Tarek. M. Elgindi, Ryan. W. Murray, Ayman. R. Said
We study the long-time behavior of scale-invariant solutions of the 2d Euler equation satisfying a discrete symmetry. We show that all scale-invariant solutions with bounded variat…
On the Cauchy problem of dispersive Burgers type equations
Ayman Rimah Said
We study the paralinearised weakly dispersive Burgers type equation: which contains the main non linear "wors…
Regularity results on the flow maps of periodic dispersive Burgers type equations and the Gravity-Capillary equations
Ayman Rimah Said
In the first part of this paper we prove that the flow associated to a dispersive Burgers equation with a non local term of the form , is…
On paracomposition and change of variables in Paradifferential operators
Ayman Rimah Said
In this paper we revisit the hypothesis needed to define the "paracomposition" operator, an analogue to the classic pull-back operation in the low regularity setting, first introdu…
A geometric proof of the Quasi-linearity of the water-waves system
Ayman Rimah Said
In the first part of this paper we prove that the flow associated to the Burgers equation with a non local term of the form fails to be uniformly continuou…