One-Dimensional Pressureless Gas Systems with/without Viscosity

One-Dimensional Pressureless Gas Systems with/without Viscosity

A general global existence result for one-dimensional pressureless Euler/Euler-Poisson systems with or without viscosity is obtained by employing the "sticky particles" model. We first construct entropy solutions for some appropriate scalar conservation laws, then we show that these soluti...

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Veröffentlicht in:Communications in partial differential equations 2015-09, Vol.40 (9), p.1619-1665
Hauptverfasser: Nguyen, Truyen, Tudorascu, Adrian
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Construction
Entropy
Mathematical models
Partial differential equations
Pressureless Euler/Euler-poisson
Pressureless gas system
Scalars
Stability
Uniqueness
Viscosity
Wasserstein metric
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container_title Communications in partial differential equations
container_volume 40
creator Nguyen, Truyen
Tudorascu, Adrian
description A general global existence result for one-dimensional pressureless Euler/Euler-Poisson systems with or without viscosity is obtained by employing the "sticky particles" model. We first construct entropy solutions for some appropriate scalar conservation laws, then we show that these solutions encode all the information necessary to obtain solutions for the pressureless systems. Another novel contribution is the stability and uniqueness of solutions, which is obtained via a contraction principle in the Wasserstein metric.
doi_str_mv 10.1080/03605302.2015.1030955
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source Taylor & Francis Journals Complete
subjects Conservation laws
Construction
Entropy
Mathematical models
Partial differential equations
Pressureless Euler/Euler-poisson
Pressureless gas system
Scalars
Stability
Uniqueness
Viscosity
Wasserstein metric
title One-Dimensional Pressureless Gas Systems with/without Viscosity
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