1 citations · 1 across the 3 of their papers we have counts for
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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 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…
A Note on Semi-linear Wave Equations
Shuang Miao
Inspired by the work of Wang and Yu [21] on wave maps, we show that for all positive numbers T_{0} > 0 and E_{0} > 0, a large kind of semi-linear wave equation on R \times R^{3} ha…