On the flow of chemically reacting gaseous mixture
By Ewelina Zatorska. 2012
56 citations recorded by the source corpus.
Abstract We consider the Cauchy problem for the system of equations governing flow of isothermal reactive mixture of compressible gases. Our main contribution is to prove sequential stability of weak solutions when the state equation essentially depends on the species concentration and the viscosity coefficients vanish on vacuum. Moreover, under additional assumption on the “cold” component of the pressure in the regions of small density, we prove the existence of weak solutions for arbitrary large initial data.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b47e185a2c26cce5a7b8c6298ee6971b6de71b38
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In Applied Mathematics
- Cheng Yu
- Alexis Vasseur
- Luis Silvestre
- Juan Luis V'azquez
- Vlad Vicol
- Gui-Qiang G. Chen
- Moon-Jin Kang
- Luis Caffarelli
In Mathematical Physics
Citations in the corpus
- Existence of global weak solutions for 3D degenerate compressible Navier–Stokes equations (2015, result): “[5] D. Bresch, B. Desjardins, E. Zatorska,Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global -entropy solutions to compressible Navier-Stokes systems with degenerate viscosities. http://arxiv.org/abs/1411.5488.”