Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
By Jerrold E. Marsden, Steve Shkoller. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001
176 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/cb3afe926d34f56a8d9ecff46359fa218bddc48c
How researchers see this paper
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In Applied Mathematics
- Tomás Caraballo
- José Real
- Darryl D. Holm
- Takeshi Taniguchi
- Edriss S. Titi
- A. Cheskidov
- Pedro Marín-Rubio
- Bixiang Wang
In Mathematical Physics
- Tomás Caraballo
- Darryl D. Holm
- Eric Olson
- Edriss S. Titi
- A. Cheskidov
- José Real
- Terence Tao
- Jinkai Li
In Statistical and Nonlinear Physics
- A. Cheskidov
- Darryl D. Holm
- Tomás Caraballo
- Yue Liu
- Zhaoyang Yin
- Giuseppe Maria Coclite
- Kenneth Hvistendahl Karlsen
- Jonatan Lenells
Citations in the corpus
- On questions of decay and existence for the viscous Camassa–Holm equations (2006, unknown): “The most general existence and uniqueness theorems in three dimensions are provided in [16] which relies on a fixed point argument.”
- On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations (2006, background): “We only wish to point out here that, from the mathematical point of view, this condition makes sense in the case of bounded domains and contributes to the well-posedness of the problem (see Marsden & Shkoller (2001), and Coutand et. al.”
- On a Leray–α model of turbulence (2005, result): “Similar results are also established in [31] for the same model subject to ad hoc Dirichlet-type boundary conditions.”