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math.AP2012★ 25 cited
On the Euler-Poincaré equation with non-zero dispersion
Dong Li, Xinwei Yu, Zhichun Zhai
We consider the Euler-Poincaré equation on , . For a large class of smooth initial data we prove that the corresponding solution blows up in finite time. This…
math.AP2012
On some Liouville Type Theorems for the Compressible Navier-Stokes Equations
Dong Li, Xinwei Yu
We prove several Liouville type results for stationary solutions of the -dimensional compressible Navier-Stokes equations. In particular, we show that when the dimension $d \geq…