Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids

By Gui-Qiang G. Chen, Hailiang Liu. 2004

188 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/1ce877cde769c3370c6ceec12e7ba1d63b9d00af

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Meina Sun
2. Chun-fang Shen
3. V. Shelkovich
4. Vladimir G. Danilov
5. Darko Mitrovic
6. E. Panov

In Computational Mechanics

1. Meina Sun
2. Chun-fang Shen
3. V. Shelkovich
4. Vladimir G. Danilov

Citations in the corpus

• The Riemann problem admitting δ-, δ-shocks, and vacuum states (the vanishing viscosity approach) (2006, background): “It is also easy to see that the weak limit of the solution to problem (9), (7) can be interpreted as a δ-shock wave type solution of the Cauchy problem (6), (7), for example, in the sense of the measure-valued solutions considered in [2,38,40], or in the sense of the approach [4,5].”
• Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model (2010, background): “In [12], they made a further step to generalize this result to the nonisentropic fluids.”