R
Richard S. Laugesen
Researcher at University of Illinois at Urbana–Champaign
Publications - 113
Citations - 2072
Richard S. Laugesen is an academic researcher from University of Illinois at Urbana–Champaign. The author has contributed to research in topics: Laplace operator & Eigenvalues and eigenvectors. The author has an hindex of 23, co-authored 108 publications receiving 1891 citations. Previous affiliations of Richard S. Laugesen include University of Toronto & Washington University in St. Louis.
Papers
More filters
Journal ArticleDOI
Linear Stability of Steady States for Thin Film and Cahn-Hilliard Type Equations
Richard S. Laugesen,M. C. Pugh +1 more
TL;DR: In this article, the linear stability of smooth steady states of the evolution equation under both periodic and Neumann boundary conditions was studied under both Neumann and Gaussian boundary conditions, where a = 0 and f = 1.
Journal ArticleDOI
A characterization of the higher dimensional groups associated with continuous wavelets
TL;DR: In this article, a characterization of the admissible subgroups of GL (n, ℝ) is given, where the stability subgroup Dx for the transpose action of D on L2(ℝn) is shown to be compact.
Journal ArticleDOI
The argument principle for harmonic functions
TL;DR: The Argument Principle for Harmonic Functions (APFH) as mentioned in this paper is a generalization of the argument principle for harmonic functions, and it can be used to reason about harmonic functions.
Journal ArticleDOI
Properties of steady states for thin film equations
Richard S. Laugesen,M. C. Pugh +1 more
TL;DR: In this paper, the authors consider nonnegative steady-state solutions of the evolution equation and study their regularity, showing that there are no non-constant positive periodic steady states or non-negative steady states with zero contact angle.
Properties of Steady States for Thin Film Equations
M. C. Pugh,Richard S. Laugesen +1 more
TL;DR: In this paper, the authors consider nonnegative steady-state solutions of the evolution equation and study the regularity of the steady states and their scaling properties with respect to the volume, length, and contact angle.