The strong relaxation limit of the multidimensional isothermal Euler equations
By Jean-François Coulombel, Thierry Goudon. 2006
78 citations recorded by the source corpus.
We construct global smooth solutions to the multidimensional isothermal Euler equations with a strong relaxation. When the relaxation time tends to zero, we show that the density converges towards the solution to the heat equation.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/2ebfa4ea19c03aa45dba4f4ec0c65c0316565930
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In Applied Mathematics
- Enrique Zuazua
- Karine Beauchard
- Stefano Bianchini
- B. Hanouzet
- Roberto Natalini
- Eduardo Cerpa
- Olivier Glass
- Jean-Michel Coron
Citations in the corpus
- Large Time Asymptotics for Partially Dissipative Hyperbolic Systems (2011, background): “Such a situation arises in article [8] where the particular case of the multidimensional isothermal Euler equation is studied.”
- Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy (2007, background): “These estimates improve on previous results about this problem contained in [34] and [7].”