Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Crooks, Elaine"'
Autor:
Crooks, Elaine, Du, Yini
In this paper, we present an approach to characterising fast-reaction limits of systems with nonlinear diffusion, when there are either two reaction-diffusion equations, or one reaction-diffusion equation and one ordinary differential equation, on un
Externí odkaz:
http://arxiv.org/abs/2210.07053
Autor:
Crooks, Elaine, Du, Yini
In this paper, we present an approach to characterising self-similar fast-reaction limits of systems with nonlinear diffusion. For appropriate initial data, in the fast-reaction limit as k tends to infinithy,spatial segregation results in the two com
Externí odkaz:
http://arxiv.org/abs/2210.06567
This paper reviews some recent applications of the theory of the compensated convex transforms or of the proximity hull as developed by the authors to image processing and shape interrogation with special attention given to the Hausdorff stability an
Externí odkaz:
http://arxiv.org/abs/2010.04720
We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2008.06782
Compensated convex transforms have been introduced for extended real-valued functions defined over $\mathbb{R}^n$. In their application to image processing, interpolation, and shape interrogation, where one deals with functions defined over a bounded
Externí odkaz:
http://arxiv.org/abs/1907.02286
This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Compensated convexity methods for approximations and interpolations of sa
Externí odkaz:
http://arxiv.org/abs/1712.05871
Autor:
Crooks, Elaine, Du, Yini
Publikováno v:
Communications in Contemporary Mathematics; Oct2024, Vol. 26 Issue 8, p1-35, 35p
We model the growth, dispersal and mutation of two phenotypes of a species using reaction-diffusion equations, focusing on the biologically realistic case of small mutation rates. After verifying that the addition of a small linear mutation rate to a
Externí odkaz:
http://arxiv.org/abs/1612.06768
We apply upper and lower compensated convex transforms, which are `tight' one-sided approximations of a given function, to the extraction of fine geometric singularities from semiconvex/semiconcave functions and DC-functions in $\mathbb{R}^n$ (differ
Externí odkaz:
http://arxiv.org/abs/1610.01451
We introduce Lipschitz continuous and $C^{1,1}$ geometric approximation and interpolation methods for sampled bounded uniformly continuous functions over compact sets and over complements of bounded open sets in $\mathbb{R}^n$ by using compensated co
Externí odkaz:
http://arxiv.org/abs/1609.09015