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math.AP2023
Global existence of Euler-Korteweg equations with the non-monotone pressure
Zihao Song
We are concerned with the global solution of the compressible Euler-Korteweg equations in . In the case of zero sound speed , it is found that the p…
math.AP2022
Decay of higher order derivatives for solutions to the compressible fluid model of Korteweg type
Zihao Song, Jiang Xu
We present a new derivation for the optimal decay of \textit{arbitrary} higher order derivatives for solutions to the compressible fluid model of Korteweg type. This approach…
math.AP2022
Global existence and analyticity of solutions to the compressible fluid model of Korteweg type
Zihao Song, Jiang Xu
We are concerned with a system of equations in governing the evolution of isothermal, viscous and compressible fluids of Korteweg type, that can be used as…