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Blowing-up Solutions of Distributed Fractional Differential Systems

Chaos, Solitons & Fractals, 2021
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Bashir AHMAD   +2 more
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Blow-up set of type I blowing up solutions for nonlinear parabolic systems

Mathematische Annalen, 2016
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Fujishima, Yohei   +2 more
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Blow up of series solutions

Journal of Applied Mathematics and Computing, 2013
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Existence of Blow-up Solutions of Semilinear Elliptic Problems

Differential Equations and Dynamical Systems, 2013
The authors consider boundary nonlinear elliptic problems in a smooth bounded domain in \(\mathbb R^N\). A nonlinear gradient term and unbounded weights near the boundary are also assumed. The solutions to these problems are referred to as boundary blow-up solutions.
Rhouma, Nedra Belhaj, Drissi, Amor
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Blow-up solutions of nonlinear differential equations

Applied Mathematics and Computation, 2005
The paper concerns the saturated solutions to certain differential systems \[ u''=f(u,v),\quad v''=g(u,v) \] as well as to the differential equation \[ (| u'|^{m-2}u')'=u^p, \] with \(m\geq2\) and \(p>m-1\). The global or local feature of a solution is established by inspecting its initial data. The asymptotic behavior of global solutions is discussed,
Chen, Yung-Fu, Tsai, Long-Yi
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Blow-up solutions of quadratic differential systems

Journal of Mathematical Sciences, 2008
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Baris, J., Baris, P., Ruchlewicz, B.
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On Blow Up Solutions of a Quasilinear Elliptic Equation

Mathematische Nachrichten, 2000
The existence and asymptotic behaviour of the solutions of the equation \(\Delta u + |Du|^q =f(u)\) in a bounded and regular domain in \({\mathbb{R}}^N\) which diverge on \(\partial \Omega\), is studied.
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Blowing-Up Behavior of Solutions

1992
The use of upper and lower solutions in D T for every T < ∞ leads to the existence of a global solution for the parabolic boundary-value problem. In case there is only a lower solution but no upper solution in D T for large T then it is possible that the solution grows unbounded in finite time. This chapter gives a detailed discussion of the blowing-up
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Blow-up time estimates and simultaneous blow-up of solutions in nonlinear diffusion problems

Computers & Mathematics with Applications, 2019
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Bingchen Liu, Guicheng Wu
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Blow-Up and Extinction of Solutions

2015
For large nonlinearities, semilinear parabolic equations can undergo dramatic effects: blow-up or extinction. This means that solutions do not exist for all times or simply vanish in finite time, two scenarios that are the first signs of visible nonlinear effects. The mechanism is the same that for ordinary differential equations and the question is to
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