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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2023/5/6
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
asymptotic stability nonlinear Schrodinger equation Analysis of PDEs
2011/9/20
Abstract: We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous paper. Now w...
Asymptotic Stability of Dissipated Hamilton-Poisson Systems
dynamical systems stability theory rigid body
2011/9/16
Abstract: We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Ha...
Asymptotic stability of spin orbit resonance for the dynamics of a viscoelastic satellite
Asymptotic stability spin orbit resonance dynamics viscoelastic satellite
2011/2/25
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Global asymptotic stability of a higher order difference equation
difference equation periodic solution
2010/9/21
The aim of this work is to investigate the global stability, periodic nature, oscillation and boundedness of the positive solutions of the difference equation
On the asymptotic stability of a rational multi-parameter first order difference equation
the asymptotic stability rational multi-parameter
2010/11/22
In this part we study the dynamics of the following rational multi-parameter first order difference equation x_{n+1} =(ax_{n}^3+ bx_{n}^2+cx_{n} + d)/x_{n}^3, x_{0}\in R^{+} where the parameters a, b...
Asymptotic stability of solutions to abstract differential equations
Nonlinear inequality Asymptotic stability Abstract differential equations
2010/12/15
An evolution problem for abstract differential equations is studied. The typical problem is:
˙ u = A(t)u+F(t,u), t ≥ 0; u(0) = u0; ˙ u =du dt ∗)Here A(t) is a linear bounded operator in a Hilbe...
Asymptotic stability of nonlinear delay-difference control system with time-varying delay via matrix inequalities
Asymptotic stability Lyapunov function
2010/9/14
In this paper, we obtain some criteria for determining the asymptotic stability of the zero solution of nonlinear delay-difference control system with time-varying delay in terms of certain matrix ine...
The Bifurcation of Cycle Length and Global Asymptotic Stability in a Rational Difference Equation with Higher Order
Rational difference equation bifurcation of cycle length perturbation global asymptotic stability semicycle periodicity
2008/11/10
A new bifurcation case for the cycle length is found in this paper for rational difference equations, which is
shown out from the following fifth order rational difference equation
x x x x x x a
x ...