2 citations · 2 across the 6 of their papers we have counts for
8 papers
Local well-posedness of strong solutions to the non-isentropic compressible primitive equations with vertical diffusion
Rupert Klein, Jinkai Li, Xin Liu +1
Due to the absence of dynamical equation in the vertical momentum component of the primitive equations (PEs) of atmospheric dynamics, the vertical component of the velocity can be…
Ergodic Estimates of One-Step Numerical Approximations for Superlinear SODEs
Xin Liu, Zhihui Liu
This paper establishes the first-order convergence rate for the ergodic error of numerical approximations to a class of stochastic ODEs (SODEs) with superlinear coefficients and mu…
Viscous pressureless flows with free boundary in one space dimension: The constant viscosity case
Xin Liu
We establish the global well-posedness of the free boundary problem of the viscous pressureless and almost pressureless heat conductive flows in one space dimension. In both cases,…
Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds
Xiangqian Yan, Yongsheng Li, Wei Yan +1
This paper is devoted to studying the maximal-in-time estimates and Strichartz estimates for orthonormal functions and convergence problem of density functions related to Boussines…
Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air
Sabine Doppler, Rupert Klein, Xin Liu +1
We establish here the local-in-time well-posedness of strong solutions with large initial data to a system coupling compressible atmospheric dynamics with a refined moisture model…
Local well-posedness and global stability of one-dimensional shallow water equations with surface tension and constant contact angle
Jiaxu Li, Xin Liu, Dirk Peschka
We consider the one-dimensional shallow water problem with capillary surfaces and moving contact {lines}. An energy-based model is derived from the two-dimensional water wave equat…
On the boundary layer arising from fast internal waves dynamics
Rupert Klein, Xin Liu
In this paper, we investigate the boundary layer arising from the fast internal waves in the Boussinesq equations with the Brunt-Vaisälä frequency of order $ \mathcal O(1/\varepsil…
K-theory for generalized Lamplighter groups
Xin Li
We compute K-theory for the reduced group C*-algebras of generalized Lamplighter groups.