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Blow-up rate

Bounds for the blow-up time and blow–up rate estimates for nonlinear Black-Sholes equations with Dirichlet or Neumann boundary conditions

Bounds for the blow-up time and blow–up rate estimates for nonlinear Black-Sholes equations with Dirichlet or Neumann boundary conditions

... the Blow-up Phenomenon of forward parabolic ...the blow-up time of the ...corresponding blow-up rate ...the blow-up time and blow-up ...

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Uniform blow-up rate for a porous medium equation with a weighted localized source

Uniform blow-up rate for a porous medium equation with a weighted localized source

... global blow-up and the rate of blow-up is uniform in all compact subsets of the ...the blow-up rate of | u ( t )| ∞ is ...

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Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity

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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Asymptotic analysis for reaction-diffusion equations with absorption

Asymptotic analysis for reaction-diffusion equations with absorption

... the blow-up and nonextinction phenomenon of reaction-diffusion equations with absorption under the null Dirichlet boundary ...the blow-up rate estimates for the nonglobal ...

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Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system

Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system

... with blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm ...several blow-up results and the blow-up rate of strong solutions to the ...

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Blow-up problems for a compressible reactive gas model

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 ...

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Global Existence and Blow Up Solutions and Blow Up Estimates for Some Evolution Systems with
      p Laplacian with Nonlocal Sources

Global Existence and Blow Up Solutions and Blow Up Estimates for Some Evolution Systems with p Laplacian with Nonlocal Sources

... of blow-up properties for nonlocal semilinear parabolic equations of the type v t = v + g(t) (see ...blowing up, blow-up set, blow-up rate, ...

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Profiles of blow-up solution of a weighted diffusion system

Profiles of blow-up solution of a weighted diffusion system

... the blow-up rate of solutions for a nonlinear parabolic equation system with a weighted localized ...v blow up simultane- ously and that the blow-up rate is uniform ...

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Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation

Blow-up phenomena and global existence for the weakly dissipative generalized periodic Degasperis-Procesi equation

... precise blow-up scenarios and blow-up criteria of strong ...the blow-up rate of strong ...Although blow-up criteria and global existence results of strong ...

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Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

... the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary ...The blow-up and global existence conditions are ...the ...

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Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

... on blow-up solutions for nonlinear parabolic equation with nonlocal source by Levine in [], many efforts have been made devoted to the study of blow-up properties for nonlocal semilinear ...

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Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

... time blow-up property of solutions to Problem (), an important property possessed by many nonlinear evolution ...problem blow up in finite time or not, for instance, the (first) eigen- value ...

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Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function

Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function

... In this work, we consider blow-up results in finite time for solutions of problem 1.1- 1.3 if the initial datas possesses suitable positive energy and obtain a precise estimate for the lifespan of ...

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Blow up for a degenerate and singular parabolic equation with a nonlocal source

Blow up for a degenerate and singular parabolic equation with a nonlocal source

... and, under some assumptions, they proved the local existence and uniqueness of a classical solution of (4) and obtained some sufficient conditions for blow-up in a finite time of a solution of (4). ...

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Existence, Nonexistence and Decay Estimate of Global Solutions for a Viscoelastic Wave Equation with Nonlinear Boundary Damping and Internal Source Terms

Existence, Nonexistence and Decay Estimate of Global Solutions for a Viscoelastic Wave Equation with Nonlinear Boundary Damping and Internal Source Terms

... decay rate estimate of the energy by making use of the perturbed energy ...time blow up result of the solutions is investigated under certain assumptions on the relaxation function g and initial ...

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Universal bounds and blow-up estimates for a reaction-diffusion system

Universal bounds and blow-up estimates for a reaction-diffusion system

... There are also Fujita-type results for half-spaces (see []). However, their optimal ex- ponents are always smaller than the corresponding exponents in the whole space, leading to more stringent conditions in the ...

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A Method to Restrict the Blow-up of Hypotheses of a Non-disambiguated

A Method to Restrict the Blow-up of Hypotheses of a Non-disambiguated

... Some of the deterministic possibilities to restrict the blow-up of hypotheses have been explored, namely rule-based or heuristic removal of contextually inap- propriate hypotheses (e.g. parser [14], tag ...

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Blow up criteria for the inhomogeneous nonlinear Schrödinger equation

Blow up criteria for the inhomogeneous nonlinear Schrödinger equation

... of the initial disturbance are possible. Although the INSE is no longer applicable near the formation point of a singularity and dissipative or some other limiting mechanism come to play. It is very important to be able ...

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On blow up criteria for a coupled chemotaxis fluid model

On blow up criteria for a coupled chemotaxis fluid model

... We consider a coupled chemotaxis fluid model and prove some blow-up criteria of the local strong solution.. Here u denotes the velocity vector field of the fluid and π is the pressure scala[r] ...

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Blow up criteria for the 3D Bénard system in Besov spaces

Blow up criteria for the 3D Bénard system in Besov spaces

... Motivated by these results on the regularity criteria of fluid dynamics system, our aim in this study is to investigate the regularity criteria for the 3D Bénard system. To aid the introduction of our main results, let us ...

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