Almost Exponential Decay Near Maxwellian

By Robert M. Strain, Yan Guo. 2006

195 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c9bbcf4fd33353196391c03bf69fd58fe67254fa

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. Clément Mouhot
2. Cédric Villani
3. Robert M. Strain
4. Lukas Neumann
5. St'ephane Mischler
6. Yan Guo
7. Philip T. Gressman
8. Ian Tice

In Computational Mechanics

1. Cédric Villani
2. Clément Mouhot
3. Robert M. Strain
4. Lukas Neumann
5. Yan Guo
6. Ian Tice
7. Philip T. Gressman
8. Yanjin Wang

In Statistical and Nonlinear Physics

1. Clément Mouhot
2. Cédric Villani
3. Lukas Neumann
4. Robert M. Strain
5. Yan Guo
6. Ian Tice
7. Philip T. Gressman
8. St'ephane Mischler

Citations in the corpus

• Decay of viscous surface waves without surface tension (2010, unknown): “Instead we pursue a strategy similar to one employed in [24] for another problem where the dissipation is weaker than the energy.”
• Exponential Decay for Soft Potentials near Maxwellian (2008, methodology): “For θ > 0, the proof of Theorem 2 is exactly the same as in [14].”
• Global classical solutions of the Boltzmann equation without angular cut-off (2009, background): “It would be interesting to study the smoothing effect, which could potentially improve dramatically the strong assumptions in the current time decay theory [47].”
• Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus (2006, methodology): “similar approach has previously been used in Guo’s papers [20, 21, 22, 37 ].”
• Almost Exponential Decay of Periodic Viscous Surface Waves without Surface Tension (2013, background): “Instead we pursue a strategy similar to one employed in [22] for another problem where the dissipation is weaker than the energy.”
• Hypocoercive Diffusion Operators (2006, methodology): “Even in a close-to-equilibrium regime, decay estimates based on a linearization method are quite hard to obtain, and were not available at the time when [5] was published; since then this gap has been filled in a series of important works by Yan Guo and Robert Strain [13], [14].”
• Hypocoercivity (2006, methodology): “- Finally, Yan Guo recently developed a new method [26], which he later pushed forward with Strain [46, 27], to get rates of convergence for nonlinear kinetic equations in a close-to-equilibrium regime.”