Well Posedness for Pressureless Flow

By Feimin Huang, Zhen Wang. 2001

224 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a46f14af0c8001b7d4c5686bf1ff7d326a4f6922

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In Applied Mathematics

In Astronomy and Astrophysics

In Control and Systems Engineering

Citations in the corpus

Formation of δ-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids (2003, background): “Then, given a state u− = (ρ−, ρ−v−), the rarefaction-wave curves in the phase plane, which are the sets of states that can be connected on the right by a one-rarefaction or two-rarefaction wave, are the following.”
Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz–Kranzer type (2011, background): “where m1 = m − ρ, which has no classical weak solution and was well studied in [2,3,9,10,26].”
Weak Solution to Pressureless Type System (2005, background): “More recently, Huang and Wang (2001) established the uniqueness of the entropy solution for the general initial data.”
Interactions of delta shock waves for the transport equations with split delta functions (2009, unknown): “For the related work, we can see [1,3,5,8,10,14] and the references cited therein.”
Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model (2010, background): “The authors are also grateful to professor Zhen Wang for his stimulating discussions.”
The Riemann problem admitting δ-, δ-shocks, and vacuum states (the vanishing viscosity approach) (2006, methodology): “In [21], the well-posedness theory of zero-pressure gas dynamics was established for the case when the initial data are the Radon measures.”
Euler–Poisson Systems as Action-Minimizing Paths in the Wasserstein Space (2009, background): “Some of them have considered the so-called entropy solutions [13], [16].”