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EXISTENCE OF WEAK SOLUTIONS TO KINETIC FLOCKING MODELS
flocking kinetic equations existence velocity averaging CuckerSmale self-organized dynamics
2015/10/15
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under conideration include the kinetic Cucker-Smale equation [6, 7] with possibly non-symmetric...
Solitary and periodic wave solutions in quadratic nonlinear media
solitary waves periodic waves the theory of dynamical systems
2011/10/20
By using the theory of dynamical systems, solitary and periodic wave solutions for a coupled quadratic nonlinear system are studied.
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
o.d.e. systems lipchitz non linearity Periodic solutions Dynamical Systems
2011/9/5
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
Periodic solutions o.d.e. systems lipchitz non linearity
2011/8/17
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Nonlinear Analysis of the Solutions of the Hasegawa-Wakatani Equations
Hasegawa Wakatani equations centre manifold theory nonlinear ordinary differential equations
2011/8/22
Abstract: The Hasegawa-Wakatani models are used in the study of confinement of hot plasmas with externally imposed magnetic fields. The nonlinear terms in the Hasegawa-Wakatani models complicate the a...
Pole solutions in formation of the Saffman-Teylor "finger" with one half of the channel width without surface tension
surface tension integro-differential motion equations Laplacian growth
2011/7/5
Laplacian growth without surface tension has nice analytical solutions which replace its complex integro-differential motion equations by simple differential equations of poles motion in a complex pla...
Fluid Dynamic Limit to the Riemann Solutions of Euler Equations: I. Superposition of rarefaction waves and contact discontinuity
Fluid Dynamic the Riemann Solutions of Euler Equations
2010/11/15
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes equations and Boltzmann equation has been an active topic with limited success so far. In this paper, we consider t...