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In this talk, we shall prove the global existence and the large time decay estimate of solutions to compressible Prandtl system with small initial data, which is analytical in the tangential variable....
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
In this talk, we will discuss some recent progress on steady Navier-Stokes system in a channel, in particular, the problem posed by Leray on steady flows in channels. The existence and uniqueness of s...
A new adaptive drag reduction and nonablation thermal protection method named Telescopic Selfaligning JetSpike (TSAJS) is proposed to improve the conventional spiked method employed in hypersonic v...
In this endeavor, the transients persisting in a vacuum ejector system (put reference of my old paper) is studied by numerically simulating the flow field, and experimentally validating the simulated ...
Particle image velocimetry is an important technique in experimental fluid mechanics, for which it has been essential to use a specialized high-speed camera. However, the high speed is at the expense ...
Exact doubly periodic standing wave patterns of the Davey--Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evo...

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