Existence of global and blowup solutions for a singular second-order ode

Renato Colucci

Existence of global and blowup solutions for a singular second-order ode

Renato Colucci^*

^*Corresponding author for this work

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We study the existence of global solutions of a singular ordinary differential equation arising in the construction of self similar solution for a backward-forward parabolic equation. Also we present several numerical simulations and obtain an upper bound for the blowup time.

Original language	English
Article number	307
Journal	Electronic Journal of Differential Equations
Volume	2015
Publication status	Published - 16 Dec 2015

Keywords

Asymptotic behavior
Blow up
Forward-backward equations
Self-similar solutions

Cite this

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title = "Existence of global and blowup solutions for a singular second-order ode",

abstract = "We study the existence of global solutions of a singular ordinary differential equation arising in the construction of self similar solution for a backward-forward parabolic equation. Also we present several numerical simulations and obtain an upper bound for the blowup time.",

keywords = "Asymptotic behavior, Blow up, Forward-backward equations, Self-similar solutions",

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AB - We study the existence of global solutions of a singular ordinary differential equation arising in the construction of self similar solution for a backward-forward parabolic equation. Also we present several numerical simulations and obtain an upper bound for the blowup time.

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KW - Blow up

KW - Forward-backward equations

KW - Self-similar solutions

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 307

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Existence of global and blowup solutions for a singular second-order ode

Abstract

Keywords

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