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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Nonlinear parametric excitation of an evolutionary dynamical system
Evolutionary dynamics parametric excitation multiple scale perturbation method
2015/8/27
Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers de...
New Bilinear Estimates for Quadratic-Derivative Nonlinear Wave Equations in 2+1 Dimensions
Bilinear Estimates Quadratic-Derivative Nonlinear
2014/12/8
This thesis is concerned with the Cauchy problem for the quadratic derivative nonlinear wave equation in two spatial dimensions. Using standard techniques, we reduce local well-posedness in Fourier Le...
Singular Nonlinear Boundary Value Problem in The Theory of Dilatant Non-Newtonian Fluids
Dilatant non-Newtonian fluids similarity solution nonlinear boundary value problem
2011/10/13
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Existence of solutions for some nonlinear problems with p-Laplacian like
Existence p-Laplacian like operators Leray-Schauder degree Robin boundary conditions
2011/10/13
The purpose of this paper is to obtain some existence results of solutions for the nonlinear boundary value problems with p-Laplacian like operators by Leray-Schauder degree theory.
Nonexistence of formal first integrals for nonlinear systems under resonance
Non-integrability Resonance First integral Normal form
2011/10/12
In this paper, by using normal form theory we give some criteria of nonexistence of formal first integrals for general nonlinear systems under resonance. As application, we also give a criterion for n...
Nonlinear Stabilization under Sampled and Delayed Measurements, and with Inputs Subject to Delay and Zero-Order Hold
feedback stabilization time-delay systems sampled-data systems nonlinear control
2011/1/20
Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the ...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
Well-Posedness and Stability of the Periodic Nonlinear Waves Interactions for the Nenney System
Benney system Well-Posedness Stability of periodic traveling waves
2010/11/30
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces
Positive solutions boundary value problem Banach spaces fixed point index
2010/2/25
This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or t...
Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients
Delay differential equations neutral nonlinear oscillation second-order
2010/2/25
Some oscillation criteria for the following second-order neutral differential equation [x(t)\pm r(t) f( x(t-g))]''+p(t) g(x(t-a)) -q(t) g(x(t-b )) = s(t) where t\geq t0, g,a,b \in R+ with a \geq b, r ...
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Neutral differential equations, positive and oscillating coefficients
2010/2/25
A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(k(t))]^{(n-1]' +p...
Sufficient Conditions for the Lp-Equivalence Between two Nonlinear Impulse Differential Equations
Impulse differential equations Lp-equivalence Partial impulse differential equations of parabolic type
2010/2/25
Sufficient conditions for the Lp-equivalence between two nonlinear impulse differential equations with unbounded linear parts and possibly unbounded nonlinearity parts are given. An example of two non...