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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent progress on steady Prandtl equation and Tollmien-Schlichting waves
稳定 Prandtl方程 Tollmien-Schlichting波
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2023/11/9
The Prandtl equation introduced by Prandtl in 1904 is a basic equation describling the behavior of the fluid near the boundary at high Reynolds number regime. In this talk, I will first introduce some...
Multi-hump solitary waves of nonlinear Dirac equation
Nonlinear Dirac equation Solitary wave
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2014/9/26
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equa-tion with a general self-interaction, being a linear combination of the scalar,
pseudoscalar, vector and axial vector self-in...
Entrainment of marginally stable excitation waves by spatially extended sub-threshold periodic forcing
stable excitation waves sub-threshold periodic forcing amplitudes frequencies sub-threshold stimuli
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2011/7/5
We analyze the e ects of spatially extended periodic forcing on the dynamics of one-dimensional
excitation waves. Entrainment of unstable primary waves has been studied numerically for di erent
ampl...
STANDING WAVES OF THE DISCRETE NONLINEAR SCHR ¨O DINGER EQUATIONS WITH GROWING POTENTIALS
discrete nonlinear Schr¨odinger equation standing wave variation methods Nehari manifold
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2008/11/26
In this paper we investigate the existence of nontrivial standing wave solution of the
discrete nonlinear Schr¨odinger equation with the growing potential at infinity. Firstly
we derive a discrete v...
PERIODIC TRAVELING WAVES IN CHAINS OF OSCILLATORS
chain of oscillators traveling wave critical point linking
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2008/11/25
It is considered the system of differential equations that describes the dynamics of
an infinite chain of linearly coupled nonlinear oscillators. Results on existence of the
periodic travelling wave...