Blow Up
Global Existence and Blow Up Solutions and Blow Up Estimates for Some Evolution Systems with p Laplacian with Nonlocal Sources
... result, blow up estimates for above p-Laplacian sys- tems with the homogeneous Dirichlet boundary value conditions are obtained under Ω = B R = { x ∈ R N : | x | < R } (R > ...
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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 ...
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Local existence and blow-up criterion of the ideal density-dependent flows
... Danchin, R, Fanelli, F: The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces. Chae, D, Lee, J: Local existence and blow-up criterion of the inhomog[r] ...
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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 of these ...
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A blow up result for viscoelastic equations with arbitrary positive initial energy
... and obtained an exponential decay rate of the solution under some assumption on g(s) and a(x). At this point it is important to mention some papers in connection with viscoelastic effects, among them, Alves and ...
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Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
... Our paper is organized as follows. In Sect. 2, we establish new lemmas relative to the logarithmic nonlinear term. Next, in Sect. 3, we prove Theorem 1.1 (global existence and decay estimate). Finally, we give the proof ...
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Lower bounds for blow-up time of a nonlinear viscoelastic wave equation
... a blow-up result for solutions with positive initial energy by using the ideas of the ‘potential well’ theory introduced by Payne and Sattinger ...blows up in finite ...
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Limiting behavior of blow-up solutions for the cubic nonlinear beam equation
... The left proof is similar to the proof of Theorem 1.1 in [37], and is omitted. Applying Lemma 4.4, we obtain the following limiting profile of blow-up solutions for Eq. (1.1) in Theorem 1.2: for the ...
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Sharp criteria of blow-up solutions for the cubic nonlinear beam equation
... of blow-up and global existence for the nonlinear Schrödinger equations, in which the scaling invariance and conservation of L 2 -norm play a crucial ...
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Blow-up results for a quasilinear von Karman equation of memory type
... To our best knowledge, there are no blow-up results of solution for the von Karman equation with memory. Motivated by the previous results, we consider the quasilinear von Karman equation with memory and ...
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Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition
... the blow-up of the solution. Table 2. Numerical blow-up times, numbers of iterations, CPU times (seconds) and orders of the approximations obtained with Scheme ...
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Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... with blow-up phenomena of solutions to parabolic partial differential ...the blow-up pheno- mena of the solution of the following parabolic ...
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Global existence and blow up of solutions for a nonlinear wave equation with memory
... This article is organized as follows. In Section 2 we introduce some notation and prepare some material. Section 3 is devoted to global existence for solutions under the potential well and the decay result. In Section 4 ...
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Fukushima Plutonium Effect and Blow Up Regimes in Neutron Multiplying Media
... According to these remarks, and considering the goal and format of this paper, we didn't aim at finding the exact solution of some specific system of three joined equations described above. However, we found it impor- ...
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Global existence and blow-up for a class of nonlinear reaction diffusion problems
... In this paper, we study reaction diffusion problem (.). Note that f (u), g(x, u) and a(u)b(x) are nonlinear reaction, nonlinear diffusion and nonlinear convection, respec- tively. Since the diffusion function g(x, u) ...
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Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions
... This paper is organized as follows. In Section , we establish the comparison principle. In Sections and , some criteria regarding to global existence and finite time blow-up for (.) are given, ...
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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 ...
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Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations
... Figure shows the evolution of the numerical solution of (.) with a space step size ., whose blow-up time turns out to be T = .. In (, T ), for any T ≥ ., we fail to show the figure in Matlab ...
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Blow-up criteria for smooth solutions to the generalized 3D MHD equations
... components or the gradient of two components of u + B and u – B in Morrey-Campanato spaces were obtained in []. A logarithmal improved blow-up criterion of smooth solu- tions in an appropriate homogeneous ...
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Blow-up problems for a compressible reactive gas model
... These two equations are related to some ignition models for compressible reactive gases. The author introduced a method to investigate the profile of blow-up solutions of (.) and (.) and observed the ...
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