15 citations · 15 across the 12 of their papers we have counts for
13 papers
Fast reaction limit of reaction diffusion systems with nonlinear diffusion
Elaine Crooks, Yini Du
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 rea…
Self-similar solutions of fast reaction limit problem with nonlinear diffusion
Elaine Crooks, Yini Du
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 li…
Compensated Convex Based Transforms for Image Processing and Shape Interrogation
Antonio Orlando, Elaine Crooks, Kewei Zhang
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 in…
Minimal Travelling Wave Speed and Explicit Solutions in Monostable Reaction-Diffusion Equations
Elaine C. M. Crooks, Michael Grinfeld
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 equ…
Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods
Kewei Zhang, Antonio Orlando, Elaine Crooks
Compensated convex transforms have been introduced for extended real-valued functions defined over . In their application to image processing, interpolation, and shap…
Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data and Inpainting
Kewei Zhang, Elaine Crooks, Antonio Orlando
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, Com…