finite-time blow-up
Global Existence, Exponential Decay and Finite Time Blow-up of Solutions for a Class of Semilinear Pseudo-parabolic Equations with Conical Degeneration
... In this paper, we aim to use the improved potential well theory to prove the invariant sets, the vacuum isolating behavior, and the global existence, decay and finite time blow-up of solutions ...
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Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ...
9
Global existence and blow up of solutions for a nonlinear wave equation with memory
... only finite time blow up for solutions starting in the unstable set is proved, but also under some appropriate assumptions on g and the initial data, a blow-up result with ...
27
Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
... in blow-up, however, Okamoto and Ohkitani ([36]) showed that it too can play a more prominent ...all time, whereas finite-time blow-up occurs if the convection term is ...
115
A note on well posedness of semilinear reaction diffusion problem with singular initial data
... The situation where the reaction-diffusion equation yields only global solu- tions for bounded data may be achieved even if the integral (4) is finite. We refer the reader to the example of Fila et al. in [8], ...
11
Existence and Smoothness of Solution of Navier Stokes Equation on R3
... and blow-up profiles, they are only possible in the presence of a critical controlled quantity or the combination of a subcritical and a supercritical controlled ...force finite time ...the ...
10
Global Existence and Blow Up Solutions and Blow Up Estimates for Some Evolution Systems with p Laplacian with Nonlocal Sources
... blows up in finite time. Furthermore, they obtain the blow-up set and asymptotic behavior provided that the solution blows up in finite ...
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Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions
... under different conditions (see [5,6] for nonlinear boundary conditions; see [7-10] for local nonlinear reaction terms; see [11] for nonlocal nonlinear reaction terms). In [12], the existence, uniqueness, and regularity ...
14
Blow-up for nonlinear heat equations with absorptions
... If r ≤ p ≤ 1, then Corollary 1 hold, every positive solution u(x , t) of the problem exists globally. If r ≥ max { 1, p, q } and 4 u p 0 ≥ u q 0 , by Theorems 1-2 we know that every positive solution u ( x , t ) of the ...
7
The Blow-up Time For Reaction-diffusion Equations With Dirichlet Boundary Conditions
... blows up in a finite time and estimate its semidiscrete blow-up ...semidiscrete blow-up time converges to the theoretical one when the mesh size goes to ...blows ...
11
The dependence of blow-up time with respect to parameters for small reaction diffusion equation
... blows up in a finite time converges to the real one when the mesh size goes to ...in finite time if it reaches the values zero in a finite ...blows-up time ...
10
Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition
... Local in time existence of positive classical solutions of (1.1) can be obtained by using fixed point theorem [21], the representation formula and the contraction map- ping principle as in [13]. By the above ...
14
Results For The Blowing-up Phenomenon With A Localized Non Linear Source Term
... blows up in a finite time and estimate its numerical blow-up ...numerical blow-up time goes to the real one when the mesh size goes to ...
14
BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
... blows up in a finite time and its numerical blow-up time converges to the real one when the mesh size goes to ...numerical blow-up time, we firstly prove the ...
32
Blow-up problems for a compressible reactive gas model
... global blow-up, and the blow-up rate is uniform in all compact subsets of the ...the blow-up rates of |u(t)| ∞ and |v(t)| ∞ are precisely ...
16
Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
... The paper is organized as follows. In Section (Section .), we consider a spatial do- main ⊂ R N and derive an upper bound of the blow-up time by constructing a blowing up subsolution of ...
16
Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
... In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prove that the ...
9
Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient
... In next, we employ a method used by Kaplan in [] to obtain a condition, which leads to blow-up at some finite time and also leads to an upper bound for the blow-up time. In ...
6
Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system
... precise blow-up scenario and some useful lemmas to study blow-up phenomena and global ...new blow-up results and the precise blow-up ...
11
Dynamics of blow-up solutions for the Schrödinger–Choquard equation
... of blow-up solutions to nonlinear Schrödinger ...of blow-up solutions to ...and blow-up, the dynamical properties of blow-up solutions, including L 2 ...
12