108 citations · 117 across the 5 of their papers we have counts for
5 papers
Asymptotics of self-similar solutions to coagulation equations with product kernel
J. B. McLeod, B. Niethammer, J. J. L. Velázquez
We consider mass-conserving self-similar solutions for Smoluchowski's coagulation equation with kernel with . It is known that such self-similar solu…
An Elementary Approach to a Model Problem of Lagerstrom
S. P. Hastings, J. B. McLeod
The equation studied is u"+((n-1)/r)u'+epsilon u u'+ku'^{2}=0, with boundary conditions u(1)=0, u(infinity)=1. This model equation has been studied by many authors since it was int…
Existence of the Solution for the 't Hooft-Polyakov Monopole
J. Bryce McLeod, Chie Bing Wang
In this paper we give a mathematical proof of the existence of the time independent and spherically symmetric solution to the 't Hooft-Polyakov model of magnetic monopole by using…
Application of Uniform Asymptotics to the Second Painlev{é} Transcendent
A. P. Bassom, P. A. Clarkson, C. K. Law +1
In this work we propose a new method for investigating connection problems for the class of nonlinear second-order differential equations known as the Painlev{é} equations. Such pr…
Smooth static solutions of the Einstein-Yang/Mills equation
Joel Smoller, Arthur G. Wasserman, Shing-Tung Yau +1
We consider the Einstein/Yang-Mills equations in space time dimensions with $\SU(2)$ gauge group and prove rigorously the existence of a globally defined smooth static soluti…