Regularization of Grad’s 13 moment equations: Derivation and linear analysis
By Henning Struchtrup, Manuel Torrilhon. 2003
508 citations recorded by the source corpus.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/06803e36a469c5614fb0e57d9dfff696830ab744
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
- I. Karlin
- Alexander N Gorban
- Manuel Torrilhon
- Henning Struchtrup
- Ruo Li
- A. Zinovyev
- Zhenning Cai
- Yuwei Fan
In Atomic and Molecular Physics, and Optics
- I. Karlin
- Alexander N Gorban
- Manuel Torrilhon
- Henning Struchtrup
- Ruo Li
- A. Zinovyev
- Zhenning Cai
- Yuwei Fan
In Computational Mechanics
- Alexander N Gorban
- I. Karlin
- A. Zinovyev
- Manuel Torrilhon
- Ruo Li
- Zhenning Cai
- Yuwei Fan
- Henning Struchtrup
Citations in the corpus
- Globally Hyperbolic Regularization of Grad's Moment System (2011, methodology): “Almost all the regularization methods in references are focused on the reconstruction of fM+1, trying to express fM+1 as a function of the M+1 known variables in some possible ways such as Chapman-Enskog expansion or realizing a positive distribution [12, 19, 8, 23].”
- Regularized 13-moment equations: shock structure calculations and comparison to Burnett models (2004, methodology): “In order to point out the main differences, we compare the regularized Burnett equations with the R13 equations in linearized and dimensionless form (see Struchtrup & Torrilhon (2003) for definitions of the dimensionless quantities).”
- Invariant Manifolds for Physical and Chemical Kinetics (2005, methodology): “Very recently, this approach was successfully applied to improve the nonlinear Grad’s thirteen-moment equations [253].”
- Constructive methods of invariant manifolds for kinetic problems (2003, methodology): “Very recently, this approach was successfully applied to improve the nonlinear Grad's 13 moment equations [147].”