57 citations · 97 across the 15 of their papers we have counts for
15 papers
On nonlinear instability of liquid Lane-Emden stars
Zeming Hao, Shuang Miao
We establish a dynamical nonlinear instability of liquid Lane-Emden stars in whose adiabatic exponents take values in . Our proof relies on a priori e…
Well-posedness for the free boundary hard phase model in general relativity
Shuang Miao, Sohrab Shahshahani
The hard phase model describes a relativistic barotropic and irrotational fluid with sound speed equal to the speed of light. In the framework of general relativity, the fluid, as…
A stability theory beyond the co-rotational setting for critical Wave Maps blow up
Joachim Krieger, Shuang Miao, Wilhelm Schlag
We exhibit non-equivariant perturbations of the blowup solutions constructed in \cite{KST} for energy critical wave maps into . Our admissible class of perturbations…
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…
On stability of blow up solutions for the critical co-rotational Wave Maps problem
Joachim Krieger, Shuang Miao
We show that the finite time blow up solutions for the co-rotational Wave Maps problem constructed in [7,15] are stable under suitably small perturbations within the co-rotational…
On tidal energy in Newtonian two-body motion
Shuang Miao, Sohrab Shahshahani
In this work, which is based on an essential linear analysis carried out by Christodoulou, we study the evolution of tidal energy for the motion of two gravitating incompressible f…