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math.AP2009
Uniqueness and Instability of Subsonic--Sonic Potential Flow in A Convergent Approximate Nozzle
Pan Liu, Hairong Yuan
We proved uniqueness and instability of the symmetric subsonic--sonic flow solution of the compressible potential flow equation in a surface with convergent areas of cross--section…
math.AP2005
Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
Yuxiang Li, Pan Liu, Yunyan Yang
Let be a 2-dimensional compact Riemannian manifold. In this paper, we use the method of blowing up analysis to prove several Moser-Trdinger type inequalities for vector bun…