5 citations · 5 across the 6 of their papers we have counts for
4 papers · 2 filters
On 2D Euler Equations: III. A Line Model
Yanguang Charles Li
The spectral theorem of the linear 2D Euler operator in Sobolev spaces is presented as a corollary of the spectral theorem in space in [Li,00]. Study on the (dashed) line…
Existence of Chaos for a Singularly Perturbed NLS Equation
Yanguang Charles Li
The work [Li,99] is generalized to the singularly perturbed nonlinear Schrödinger (NLS) equation of which the regularly perturbed NLS studied in [Li,99] is a mollification. Specifi…
Singularly Perturbed Vector and Scalar Nonlinear Schroedinger Equations with Persistent Homoclinic Orbits
Yanguang Charles Li
Singularly perturbed vector nonlinear Schroedinger equations (PVNLS) are investigated. Emphasis is placed upon the relation with their restriction: The singularly perturbed scalar…
Isospectral Theory of Euler Equations
Yanguang Charles Li, Roman Shvidkoy
Isospectral problem of both 2D and 3D Euler equations of inviscid fluids, is investigated. Connections with the Clay problem are described. Spectral theorem of the Lax pair is stud…