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- Publications
- Influence
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- P. Constantin, A. Majda, E. Tabak
- Mathematics
- 1 November 1994
The formation of strong and potentially singular fronts in a two-dimensional quasigeostrophic active scalar is studied through the symbiotic interaction of mathematical theory and numerical… Expand
A simple one-dimensional model for the three-dimensional vorticity equation
- P. Constantin, P. Lax, A. Majda
- Mathematics
- 1 November 1985
Geometric constraints on potentially singular solutions for the 3-D Euler equations
- P. Constantin, C. Fefferman, A. Majda
- Mathematics
- 31 December 1996
We discuss necessary and sufficient conditions for the formation of finite time singularities (blow up) in the incompressible three dimensional Euler equations. The well-known result of Beale, Kato… Expand
Global regularity for vortex patches
- A. Bertozzi, P. Constantin
- Mathematics
- 1 February 1993
We present a proof of Chemin's [4] result which states that the boundary of a vortex patch remains smooth for all time if it is initially smooth.
Geometric Statistics in Turbulence
- P. Constantin
- Computer Science, Mathematics
- SIAM Rev.
- 1 March 1994
TLDR
Global Lyapunov Exponents, Kaplan-Yorke Formulas and the Dimension of the Attractors for 2D Navier-Stokes Equations
- P. Constantin, C. Foiaș
- Mathematics
- 1985
On the dimension of the attractors in two-dimensional turbulence
- P. Constantin, C. Foiaș, R. Temam
- Mathematics
- 1 April 1988
Abstract Using a new version of the Sobolev-Lieb-Thirring inequality, we derive an upper bound for the dimension of the universal attractor for two-dimensional space periodic Navier-Stokes equations.… Expand
Behavior of solutions of 2D quasi-geostrophic equations
- P. Constantin, J. Wu
- Mathematics
- 1 June 1999
We study solutions to the 2D quasi-geostrophic (QGS) equation $$ \frac{\partial \theta}{\partial t}+u\cdot\nabla\theta + \kappa (-\Delta)^{\alpha}\theta=f $$ and prove global existence and uniqueness… Expand
Nonlinear Fokker-Planck Navier-Stokes systems
- P. Constantin
- Mathematics
- 1 December 2005
We consider Navier-Stokes equations coupled to nonlinear FokkerPlanck equations describing the probability distribution of particles interacting with fluids. We describe relations determining the… Expand