Topic
Method of matched asymptotic expansions
About: Method of matched asymptotic expansions is a research topic. Over the lifetime, 4233 publications have been published within this topic receiving 73311 citations.
Papers published on a yearly basis
Papers
More filters
42 citations
TL;DR: Theoretical results for forced heat convection from a circular cylinder at low Reynolds numbers are given in this paper, where the analysis in each case is based upon the matched asymptotic expansions.
Abstract: Theoretical results are obtained for forced heat convection from a circular cylinder at low Reynolds numbers. Consideration is given to the cases of a moderate and a large Prandtl number, the analysis in each case being based upon the method of matched asymptotic expansions. Comparison between the moderate Prandtl number theory and known experimental results indicates excellent agreement; no relevant experimental work has been found for comparison with the large Prandtl number theory.
42 citations
TL;DR: In this paper, sufficient conditions are obtained to guarantee the asymptotic stability of a class of non-linear singularly perturbed systems and a procedure for constructing a Lyapunov function for such a class is given, and a clearly defined domain of attraction of the equilibrium is obtained.
Abstract: Sufficient conditions are obtained to guarantee the asymptotic stability of a class of non-linear singularly perturbed systems. A procedure for constructing a Lyapunov function for such a class of systems is given, and a clearly defined domain of attraction of the equilibrium is obtained. A stabilizing feedback control for such systems is also proposed.
42 citations
Journal Article•
TL;DR: Uniform asymptotic approximations of Green's kernels for boundary value problems of elasticity in singularly perturbed domains containing a small hole are presented.
Abstract: We present uniform asymptotic approximations of Green's kernels for boundary value problems of elasticity in singularly perturbed domains containing a small hole. We consider the cases of two and t ...
42 citations
TL;DR: An initial-value approach is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point that approximates the exact solution very well.
42 citations