9 papers
On the stability of the solutions to compressible Navier-Stokes equations
Qiaojie Dong, Min Li, Yatao Li +1
This paper investigates the continuous dependence (stability) of solutions to the barotropic compressible Navier--Stokes equations in critical Besov spaces. Using the Lagrangian ap…
Ill-posedness for a generalized Camassa-Holm equation with higher-order nonlinearity in the critical Besov space
Wei Deng, Min Li, Xing Wu +1
In this paper, we prove that the Cauchy problem for a generalized Camassa-Holm equation with higher-order nonlinearity is ill-posed in the critical Besov space …
On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces
Min Li
By constructing a series of perturbation functions through localization in the Fourier domain and translation, we show that the data-to-solution map for the Euler-Poincaré equation…
Ill-posedness for the two component Degasperis-Procesi equation in critical Besov space
Jinlu Li, Min Li, Weipeng Zhu
In this paper, we study the Cauchy problem for the two component Degasperis-Procesi equation in critical Besov space . By presenting a new construction o…
Ill_posedness for a two_component Novikov system in Besov space
Xing Wu, Min Li
In this paper, we consider the Cauchy problem for a two-component Novikov system on the line. By specially constructed initial data in $B_{p, \infty}^{s-1}(\mathbb{R})…
Ill-posedness for the higher dimensional Camassa-Holm equations in Besov spaces
Min Li, Yingying Guo
In the paper, by constructing a initial data with , we prove that the corresponding solution to the higher dimensional…
Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces
Jinlu Li, Wei Deng, Min Li
In this paper, we investigate the dependence on initial data of solutions to higher dimensional Camassa-Holm equations. We show that the data-to-solution map is not uniformly conti…
Non-uniform dependence for the Novikov equation in Besov spaces
Jinlu Li, Min Li, Weipeng Zhu
In this paper, we investigate the dependence on initial data of solutions to the Novikov equation. We show that the solution map is not uniformly continuous dependence on the initi…
Quasineutral limit for the quantum Navier-Stokes-Poisson equation
Min Li, Xueke Pu, Shu Wang
In this paper, we study the quasineutral limit and asymptotic behaviors for the quantum Navier-Stokes-Possion equation. We apply a formal expansion according to Debye length and de…