64 citations · 91 across the 7 of their papers we have counts for
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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…
The large-time behavior of solutions in the critical framework for compressible viscous and heat-conductive gas flows
Weixuan Shi, Jiang Xu
The theory for non-isentropic Navier-Stokes equations governing compressible viscous and heat-conductive gases is not yet proved completely so far, because the critical reg…
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
Hongmei Cao, Hao-Guang Li, Chao-Jiang Xu +1
In this work, we investigate the Cauchy problem for the spatially inhomogeneous non-cutoff Kac equation. If the initial datum belongs to the spatially critical Besov space, we can…
Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
Zhouping Xin, Jiang Xu
This work is concerned with the large time behavior of solutions to the barotropic compressible Navier-Stokes equations in . Precisely, it is shown that if…
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity
Frédéric Charve, Raphaël Danchin, Jiang Xu
We are concerned with an isothermal model of viscous and capillary compressible fluids derived by J. E. Dunn and J. Serrin (1985), which can be used as a phase transition model. Co…
A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical framework
Wei Xuan Shi, Jiang Xu
The compressible Navier-Stokes-Poisson system takes the form of usual Navier-Stokes equations coupled with the self-consistent Poisson equation, which is used to simulate the trans…