[PDF] Top 20 Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms
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Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms
... model equation of ion-sound waves in ‘non-mag- netized’ plasma taking account of nonlinear sources localized on the boundary ...dynamical boundary condition which is ’close’ to the nonlinear ... See full document
10
Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... the blow-up time if blow-up occurs, or else t ∗ = ...the solution u(x, t) with the development of ...cold source function, g is the heat-conduction function transmitting into ... See full document
7
A blow up result for viscoelastic equations with arbitrary positive initial energy
... the wave equation subject to nonlinear boundary damp- ing has been investigated by the authors Cavalcanti et ...to blow up of the solutions of equations with nonlinear damping and ... See full document
10
Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary
... the blow-up singularity of a semilinear parabolic equation with nonlinear memory both in the reaction term and the boundary ...of semilinear parabolic equations with various ... See full document
17
Existence, Nonexistence and Decay Estimate of Global Solutions for a Viscoelastic Wave Equation with Nonlinear Boundary Damping and Internal Source Terms
... initial boundary value problem for a viscoelastic wave equation with nonlinear boundary damping and internal source ...of global weak solutions by the combination of Galerkin ... See full document
34
Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms
... the solution of ...for blow-up ...for blow-up time of a system of ...for blow-up time of the solutions to two nonlinear wave ... See full document
25
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
... weak solution by a Faedo-Galerkin method for a quasilinear wave equation with strong dissipation (see also [1, ...data, global existence can be obtained, even when the influence of the ... See full document
11
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
... assures global existence for arbitrary initial data (see ...nonlinear source has been first considered by Levine [7] ...blew up in fi- nite ...the source terms was stu- died by ... See full document
11
Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
... the global existence, blow-up, and asymptotic behavior of solutions to the Dirichlet initial boundary value problem with arbitrary initial energy by using the potential well ...the ... See full document
17
Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
... the solution is global and decays uniformly (expo- nentially or polynomially depending on the decay rate of the relaxation function g) if the initial data is small ...the existence and the decay of ... See full document
12
Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
... the blow-up result of solutions with nonpositive initial energy as well as pos- itive initial energy for both the linear and nonlinear damping ...the global existence of solution and ... See full document
11
Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms
... and global existence of weak solutions and showed that any weak solution with negative initial energy blows up in finite ...the blow-up result for a larger class of initial data ... See full document
13
Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation
... tion equation on the space of tensor densities over the Lie algebra of smooth vector fields on the circle ...μDP equation describes the geodesic flows of a right-invariant affine connection on the Fréchet Lie ... See full document
14
Numerical Quenching for Heat Equations with Coupled Nonlinear Boundary Flux
... In this work, we proposed a semi-discrete scheme, based on finite difference method in space for system of heat equations, coupled by nonlinear boundary flux. The stability and the convergence of semi-discrete ... See full document
18
The global solution and blow-up phenomena to a modified Novikov equation
... the solution u for ...the solution itself satisfies u ∈ L (R) and the initial data satisfy the sign condition, we adopt the methods used in Rodriguez-Blanco [] to derive that ∂u(t,x) ∂x L ∞ (R) possesses ... See full document
9
Global existence and blow-up phenomena for p-Laplacian heat equation with inhomogeneous Neumann boundary conditions
... the blow-up set, and the blow-up profile of the blow-up solution for sufficiently large ...the solution blows up only near the maximum points of the orthogonal ... See full document
14
Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
... and blow-up behavior of solutions. In order to obtain the existence of solutions, we use the Faedo-Galerkin method and to get the blow-up properties of solutions with non-posi- tive and ... See full document
15
Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... | | , ∈ 0, 1 , ∈ 0, (1) 0, 0, 1, 0, ∈ 0, (2) , 0 , ∈ 0,1 , (3) which appears in a lot of models of nonlinear optics, energy transfer in molecular systems, quantum mechanics, seismology, plasma physics, see [4, 21, 28], ... See full document
6
General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
... Dirichlet boundary condition, where f (x) ≥ is a smooth function and λ > ...the existence and the uniqueness of the local classical solution, and obtained some criteria for solutions to ... See full document
11
Dynamics of blow-up solutions for the Schrödinger–Choquard equation
... of blow-up solutions to nonlinear Schrödinger ...of blow-up solutions to ...state solution u to (1.4) exactly describes the sharp threshold mass of global existence and ... See full document
12
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