blow-up-type solutions
On Local Existence and Blow Up of Solutions for Nonlinear Wave Equations of Higher Order Kirchhoff Type with Strong Dissipation
... and blow-up of solutions for nonlinear wave equations of higher-order Kirchhoff type with strong ...the blow up properties of solutions of this problem with negative and ...
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A general decay result for a semilinear heat equation with past and finite history memories
... existence, blow-up, and energy decay of solutions for this type of problems involving a finite history memory term has attracted much attention; see [3–12] and the references ...
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations
... the blow-up behavior of one-parameter collocation solutions for Hammer- stein-type Volterra integral equations (VIEs) whose solutions may blow up in finite ...such ...
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Sharp criteria of blow-up solutions for the cubic nonlinear beam equation
... the Laplacian. The parameter m > 0. In fact, Eq. (1.1) is a class of fourth-order partial dif- ferential equations having different physical settings (see [19]). In particular, when d = 1, Eq. (1.1) is called ...
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Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
... the blow-up behavior of nonnegative solutions for some classes of reaction-diffusion equations, where the reaction term may have a nonlocal functional de- pendence either in space or in time (or ...
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Nonexistence of global solutions of abstract wave equations with high energies
... prove blow-up of solutions of equations of the type () with high initial energies. Some of these results are particular cases of the one that we shall prove here. See the examples and ...
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Global Existence and Blow Up Solutions and Blow Up Estimates for Some Evolution Systems with p Laplacian with Nonlocal Sources
... Equations (1.1) are the classical reaction-diffusion system of Fujita-type for p = q = 2. If p = 2, q = 2, (1.1) appears in the theory of non-Newtonian fluids [1, 2] and in non- linear filtration theory [3]. In the ...
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Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source
... this type of equations describes a variety of important physical processes, such as the analysis of heat conduction in materials with memory, viscous flow in materials with memory [], the theory of heat and mass ...
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Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
... To the best of our knowledge, there are no results about the finite time blow-up for solutions of problem (1.1) with arbitrary high initial energy. In this paper, following the strategy similar to ...
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Some Features for Blow-up Solutions of a Nonlinear Parabolic Equation
... Precisely, It has been proved that if δ ≥ 2 then there exists solutions of (1) which are “Type 2” and if 0 < δ < 2 then u is “Type 1”. (See [3], [4], [5], [7], [8], [9], [10], [11] and so ...
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Blow up of Solutions for a System of Nonlinear Higher order Kirchhoff type Equations
... the solutions of the problem ...[2]. Blow up of the solution with positive initial energy was proved for 2 (r + 2) > max { 2γ + 2, p + 1, q + 1 } by using the technique of [26] with a modification ...
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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] ...
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On decay and blow-up of solutions for a nonlinear beam equation with double damping terms
... of solutions to the nonlinear beam equations of the type ...generalized solutions (or the global weak so- lutions) to the Cauchy problem and the initial boundary value problem remain ...
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Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy
... Here u denotes the temperature, d > is the diffusion coefficient and the integral term represents the capacity of the material to keep memory of their past trace. From a mathe- matical point of view, it is expected ...
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Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system
... where λ > . The author not only established the local well-posedness for system (.) in Besov space B s p,r (S) × B s– p,r (S) with s > max( + p , ), but she also presented global existence results and ...
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Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
... where α > 0, β = 0, and p > 1 are constants. By using the potential well method they ob- tained the global existence and nonexistence of the solution. Xu et al. [10] considered a sixth-order 1-D nonlinear wave ...
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Global weak solutions for a generalized Dullin-Gottwald-Holm equation in the space H1(R)
... strong solutions and infinite propagation speed for the DGH ...weak solutions to () is proved by Zhang and Yin [] under certain conditions im- posed on the initial ...
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Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions
... a blow-up solution, an upper bound for ‘blow-up time’, and an upper estimate of ‘blow-up rate’ are specified under some appropriate assumptions on the functions f , g, b and ...
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Asymptotic analysis for reaction-diffusion equations with absorption
... The rest of this paper is organized as follows. In the next section, we discuss the global existence and nonexistence of solutions, and prove Theorems .-.. Subsequently, in Sects. and , we consider the ...
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On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms
... which implies w = by Gronwall’s inequality. Thus, we complete the proof of Theorem .. Remark . As is well known, the difficult for Kirchhoff equations is proving the approxi- mate solutions converge to the ...
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