Results 191 to 200 of about 304,931 (226)

Blow-up time estimates and simultaneous blow-up of solutions in nonlinear diffusion problems

Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bingchen Liu, Guicheng Wu
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

Blow-up solutions of quadratic differential systems

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baris, J., Baris, P., Ruchlewicz, B.
openaire   +2 more sources

Blow-up Solutions for Mixed Nonlinear Schrödinger Equations

Acta Mathematica Sinica, English Series, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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.
openaire   +3 more sources

Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Mingxin, Wei, Lei
openaire   +2 more sources

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
openaire   +1 more source

Asymptotically Self-Similar Blow-Up Solutions

2011
The similarity variables can be used to study the asymptotic behavior (see Barenblatt [9]). Giga−Kohn [64, 65] gave a finer description of the blow-up behavior of the equation $$u_t\,=\,\triangle u\,=\, |u|^{p-1}u,\,\,\,x\,\epsilon \,\Omega,\,\,\,0\,
openaire   +1 more source

DOUBLE BLOW-UP SOLUTIONS FOR A BREZIS–NIRENBERG TYPE PROBLEM

Communications in Contemporary Mathematics, 2003
In this paper we construct a domain Ω for which the problem [Formula: see text] has a family of solutions which blow-up and concentrate in two different points of Ω as ε goes to 0.
MUSSO M., PISTOIA, Angela
openaire   +4 more sources