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From compressible Naveir-Stokes with nonlocal forces to Euler

No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Wroblewska-Kaminska, Aneta Carrillo, Jose A. Zatorska, Ewelina

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From compressible Naveir-Stokes with nonlocal forces to Euler
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39
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We show that weak solutions of degenerate Navier-Stokes equations converge to the strong solutions of the pressureless Euler system with linear drag term, Newtonian repulsion and quadratic confinement. The proof is based on the relative entropy method using the artificial velocity formulation for the one-dimensional Navier-Stokes system.
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