175 citations
- Purdue University West LafayetteUS3 papers
- Missouri University of Science and TechnologyUS2 papers
- National Radio Astronomy ObservatoryUS2 papers
- University of KentuckyUS2 papers
- Ames National LaboratoryUS1 paper
- California Institute of TechnologyUS1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- Georgia Institute of TechnologyUS1 paper
- Georgia State UniversityUS1 paper
- Heidenhain (Germany)DE1 paper
- Institute of MathematicsPL1 paper
- Iowa State UniversityUS1 paper
5 papers · 1 filter
On the True Nature of Turbulence
Y. Charles Li
In this article, I would like to express some of my views on the nature of turbulence. These views are mainly drawn from the author's recent results on chaos in partial differentia…
Invariant Manifolds and Their Zero-Viscosity Limits for Navier-Stokes Equations
Y. Charles Li
First we prove a general spectral theorem for the linear Navier-Stokes (NS) operator in both 2D and 3D. The spectral theorem says that the spectrum consists of only eigenvalues whi…
Quasilinear and Hessian equations of Lane-Emden type
Nguyen Cong Phuc, Igor E. Verbitsky
The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two mode…
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…
Integrable Structures for 2D Euler Equations of Incompressible Inviscid Fluids
Yanguang Charles LI
In this article, I will report a Lax pair structure, a Backlund-Darboux transformation, and the investigation of homoclinic structures for 2D Euler equations of incompressible invi…