Proves convergence of multiphase Vlasov-Navier-Stokes solutions to the pressureless Euler-Navier-Stokes system and studies the single-phase limit.
The Pressureless Euler--Navier--Stokes System
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abstract
In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in $\R^d$ (with $d\geq 2$) in the critical regularity setting for a density close to $0$. We prove a global existence result for small data for this system, and then give optimal time decay estimates.
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math.AP 1years
2026 1verdicts
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Multiphase formulation of the Vlasov-Navier-Stokes equations
Proves convergence of multiphase Vlasov-Navier-Stokes solutions to the pressureless Euler-Navier-Stokes system and studies the single-phase limit.