Results 251 to 260 of about 11,512,228 (286)

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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On the blow-up of solutions for the Fornberg–Whitham equation

Nonlinear Analysis: Real World Applications, 2018
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Wu, Xinglong, Zhang, Zeng
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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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Blow up of series solutions

Journal of Applied Mathematics and Computing, 2013
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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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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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On the Blow-Up of Solutions of a Periodic Shallow Water Equation

Journal of Nonlinear Science, 2000
A blow-up result for the Cauchy problem for the periodic Camassa-Holm equation is given. Namely, it is proved that if the initial value \(u_0\in H^4(S)\), \(S=\mathbb{R}/\mathbb{Z}\), has at some point the slope less than \(-\sqrt{13/12}|u_0|_{H^1(S)}\), then the solution blows-up in finite time \(T\). The solution remains bounded in \([0;T)\), but its
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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, Ishige, Kazuhiro, Maekawa, Hiroki   +2 more
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Extending solutions beyond blow-up

Nonlinear Analysis: Theory, Methods & Applications, 1996
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