156 citations · 313 across the 13 of their papers we have counts for
13 papers
Rigidity of Acute Angled Corners for One Phase Muskat Interfaces
Siddhant Agrawal, Neel Patel, Sijue Wu
We consider the one-phase Muskat problem modeling the dynamics of the free boundary of a single fluid in porous media. We prove local well-posedness for fluid interfaces that are g…
The quartic integrability and long time existence of steep water waves in 2D
Sijue Wu
It is known since the work of Dyachenko \& Zakharov \cite{zd} that for the weakly nonlinear 2d infinite depth water waves, there are no 3-wave interactions and all of the 4-wave in…
Well-posedness of the free boundary hard phase fluids in Minkowski background and its Newtonian limit
Shuang Miao, Sohrab Shahshahani, Sijue Wu
The hard phase model describes a relativistic barotropic irrotational fluid with sound speed equal to the speed of light. In this paper, we prove the local well-posedness for this…
Wellposedness of the 2D full water wave equation in a regime that allows for non- interfaces
Sijue Wu
We consider the two dimensional gravity water wave equation in a regime where the free interface is allowed to be non-. In this regime, only a degenerate Taylor inequality $-\…
On the Motion of a Self-Gravitating Incompressible Fluid with Free Boundary and Constant Vorticity: An Appendix
Lydia Bieri, Shuang Miao, Sohrab Shahshahani +1
In a recent work [1] the authors studied the dynamics of the interface separating a vacuum from an inviscid incompressible fluid, subject to the self-gravitational force and neglec…
On the Motion of a Self-Gravitating Incompressible Fluid with Free Boundary
Lydia Bieri, Shuang Miao, Sohrab Shahshahani +1
We consider the motion of the interface separating a vacuum from an inviscid, incompressible, and irrotational fluid, subject to the self-gravitational force and neglecting surface…