Asymptotics of solutions for a class of quasilinear second-order ordinary differential equations
type: Item
instance of: scholarly article
title: Asymptotics of solutions for a class of quasilinear second-order ordinary differential equations
zbMATH Open document ID: 1201.34049
DOI: 10.1134/S0012266110020011
author: R. G. Akhmetov
published in: Differential Equations
publication date: 2010-07-02T00:00:00Z
review text: A class of quasilinear second-order ordinary differential equations is investigated. The equations describe a convective diffusion near a spherical drop in the presence of a volume chemical reaction. In the case that the Peclet number \(Pe\) and the rate constant \(k_v\) of the volume chemical reaction tend to infinity, existence and uniqueness of a solution is established along with a construction of the leading term in the formal asymptotic solution, and the asymptotic properties of the solution are then studied. Numerical simulations are also performed.
reviewed by: Liancheng Wang
Mathematics Subject Classification ID: 34B60
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 5729817
zbMATH Keywords: quasilinear ODE
zbMATH Keywords: convective diffusion
zbMATH Keywords: volume chemical reaction
MaRDI profile type: Publication
cites work: Q5421251
cites work: Q5316964
cites work: Q3026133
full work available at URL: s0012266110020011
OpenAlex ID: W2072152258
description: scientific article; zbMATH DE number 5729817