[PDF] Top 20 Blow Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
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Blow Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
... non-linear Schrodinger equa- tion is the basic equation in nonlinear science and widely applied in natural science such as the physics, chemistry, biology, communication and nonlinear optics ... See full document
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On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms
... Problems of this type arise in physics. For example, this problem represents the longitu- dinal motion of a viscoelastic configuration which obeys a nonlinear Voight model [, ]. When m = , () becomes the ... See full document
14
Lower bound for the blow-up time for some nonlinear parabolic equations
... finite-time blow-up of solutions to parabolic problems under a homoge- neous Dirichlet boundary condition and Neumann condition has earned great attention (see ...the blow-up phenomena ... See full document
6
Existence of solution for p-Laplacian boundary value problems with two singular and subcritical nonlinearities
... in nonlinear elliptic problems from blow-up boundary solutions to equations with singular nonlinearities in two types of stationary singular problems: the logistic ... See full document
16
Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... of blow-up solutions for semilinear Schrödinger equations has been the subject of investigations of many ...the solution blows up in a finite time when this time is finite, and the ... See full document
6
Blow-up for the stochastic nonlinear Schrödinger equations with quadratic potential and additive noise
... the blow-up dynamics of the two ...the blow-up problems for the supercritical equa- tion with an attractive ...singular solution of the nonlinear Schrödinger equation with ... See full document
18
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... where a, l > 0 and Ω is a bounded domain in R N (N ≥ 1) with smooth boundary ∂Ω . There have been many articles dealing with properties of solutions to degenerate parabolic equations with homogeneous Dirichlet ... See full document
14
Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... and blow-up for nonlinear parabolic equations have been extensively investigated by many authors in the last decades (see [1–6] and the references ...the blow-up time in ... See full document
7
On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms
... In , Shang [] studied the well-posedness, asymptotic behavior, and the finite time blow-up of the solutions under some suitable conditions on f and for n = , , . In , Zhang and Hu [] showed the ... See full document
24
The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system
... the nonlinear Schrodinger-Boussinesq system [11], existence of solution for dissipative Schrodinger-Boussinesq equations [25], the attractor and its regularity of the damped ... See full document
23
On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
... the nonlinear Schrodinger equations is power law nonlinearity which was studied by Wazwaz in [18] by using the tanh- coth method and was solved by variational iter- ation method in ...consider ... See full document
8
Non-simultaneous blow-up for a parabolic system with nonlinear boundary flux which obey different laws
... as blow-up, and has been observed for several scalar equation since the pioneering work of ...Fujita. Blow-up may also happen for systems, ...the blow-up conditions and ... See full document
11
Blow-up profile for a degenerate parabolic equation with a weighted localized term
... Denote by λ the first eigenvalue and by ϕ the corresponding eigenfunction with ϕ > in , normalized by a(x)ϕ(x) dx = . In the following, C is different from line to line. Also, we will sometimes use the notation u ∼ v ... See full document
7
Blow-up rates and uniqueness of entire large solutions to a semilinear elliptic equation with nonlinear convection term
... nonexistence, uniqueness and asymptotic behavior of large solutions to Eq. (1.1) have been investigated extensively by many authors in different contexts. When Ω is a bounded domain, a “large solution” is ... See full document
14
Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
... teresting but difficult as well. Indeed, a strong action of dissipative terms could make the existence of global solutions easier, since they play the role of stabilizing terms and their smoothing effect makes the ... See full document
10
Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... “On Blow-Up Phenom- ena for Solutions of a Class of Nonlinear Parabolic Prob- lems with Time Dependent Coefficients under Dirichlet Boundary Conditions,” Proceedings of the American Mathe- matical ... See full document
6
Blow-up properties for a degenerate parabolic system coupled via nonlinear boundary flux
... Proof Notice that if case (i) holds, by max {q, p} > l and p > q + l, we get p > l. If case (ii) holds, it follows from max {q, p} > l and p < q + l that q > l. Thus, by a similar proof to that of ... See full document
14
Blow-up and local weak solution for a modified two-component Camassa-Holm equations
... strong solution of Cauchy problem ...some blow-up results of the solutions of Cauchy problem ...weak solution is carried out in Section ... See full document
12
Blow up of the Solutions of Nonlinear Wave Equation
... nontrivial solution in the set M. Let u be the solution from Theorem ...a solution to the integral equation (1 ...is solution to the nonhomogeneous Cauchy problem (1), (2) with initial ... See full document
51
Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition
... the solution u to problem ()-() is nonnegative in O × (, ∞ ) by the parabolic maximum principles [, ...the blow-up. In Section , we will find a lower bound for the blow-up time ... See full document
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