4 papers · 1 filter
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…
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…