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20042026
most citedA dimensionally split Cartesian cut cell method for hyperbolic conservation laws

45 citations · 455 across the 44 of their papers we have counts for

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5 papers · 1 filter

math.AP2022

The soundproof model of an acoustic--internal waves system with low stratification

Didier Bresch, Rupert Klein, Xin Liu

This work is devoted to investigating a compressible fluid system with low stratification, which is driven by fast acoustic waves and internal waves. The approximation using a soun…

math.AP2022★ 5 cited

Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes

Sabine Hittmeir, Rupert Klein, Jinkai Li +1

In this work we study the global solvability of moisture dynamics with phase changes for warm clouds. We thereby in comparison to previous studies [Hittmeir-Klein-Li-Titi (2017)] t…

math.AP2019★ 25 cited

Global Well-posedness for the Primitive Equations Coupled to Nonlinear Moisture Dynamics with Phase Changes

Sabine Hittmeir, Rupert Klein, Jinkai Li +1

In this work we study the global solvability of the primitive equations for the atmosphere coupled to moisture dynamics with phase changes for warm clouds, where water is present i…

math.AP2016★ 25 cited

Global well-posedness for passively transported nonlinear moisture dynamics with phase changes

Sabine Hittmeir, Rupert Klein, Jinkai Li +1

We study a moisture model for warm clouds that has been used by Klein and Majda as a basis for multiscale asymptotic expansions for deep convective phenomena. These moisture balanc…

math.AP2015

On singular limits arising in the scale analysis of stratified fluid flows

Eduard Feireisl, Rupert Klein, Antonin Novotny +1

We study the low Mach low Freude numbers limit in the compressible Navier-Stokes equations and the transport equation for evolution of an entropy variable -- the potential temperat…