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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…