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Showing 2003 · math.APShow all
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math.AP2003
Chaos in PDEs and Lax Pairs of Euler Equations
Yanguang Charles Li
Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of ho…
math.AP2003★ 10 cited
Global Regularity for the Viscous Boussinesq Equations
Yanguang Charles Li
The global regularity for the viscous Boussinesq equations is proved.
math.AP2003
Conditions implying regularity of the three dimensional Navier-Stokes equation
Stephen Montgomery-Smith
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of…