scispace - formally typeset
Search or ask a question
Topic

Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: The theory of radiative transfer in moving media in its classical field of applications is a well-developed branch of theoretical astrophysics as discussed by the authors, which has at its disposal a large selection of asymptotic, approximate, and numerical methods for solving different applied problems.
Abstract: It can be seen from the above review that the theory of radiative transfer in moving media in its classical field of applications is a well-developed branch of theoretical astrophysics. Studies i n recent years have clarified important questions such as the asymptotic behavior of the kernel functions and the characteristic lengths of the theory. It has been established that there are two types of radiative coupling, and the influence of nonlocal radiative coupling on the formation of spectral lines and radiation pressure has been investigated. The theory now has at its disposal a large selection of asymptotic, approximate, and numerical methods for solving different applied problems.

16 citations

Journal ArticleDOI
TL;DR: In this paper, a systematic study of the Robinson-Trautman metrics in the asymptotic future is presented, and a technique that could be used for determining existence of solutions of the RTA equation is found.
Abstract: A systematic study of the Robinson-Trautman metrics in the asymptotic future is presented. As a by-product another technique, that could be used for determining existence of solutions of the Robinson-Trautman equation, is found. All these metrics present an exponential asymptotic limit to the Schwarzschild metric in this regime.

16 citations

Journal ArticleDOI
TL;DR: In this article, an order-of-magnitude analysis applied to the governing equations and boundary conditions quantifies the error resulting from the neglect of various factors such as density difference, initial superheat and variable properties.
Abstract: The paper considers one-dimensional freezing and thawing of ice–water systems for the conditions first examined by Stefan. An order-of-magnitude analysis applied to the governing equations and boundary conditions quantifies the error resulting from the neglect of various factors. Principal among these are density difference, initial superheat and variable properties. Asymptotic solutions for the temperature distribution and interface history are developed for a wide range of boundary conditions: prescribed temperature or heat flux, prescribed convection and prescribed radiation. Comparison with known results reveals the general adequacy of the asymptotic solutions and an estimate of the error incurred.

16 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that for large n, the coefficients an,i, and an>2 can be expanded in asymptotic series of inverse factorials with explicit coefficients.
Abstract: In the neighborhood of an irregular singularity of rank one at infinity, a differential equation of the form dw „, x dw , N has well-known asymptotic solutions of the form oo oo n=0 n—Q in which Ai, A2, Ml? i ^2 are constants. It is proved that for large n, the coefficients an,i, and an>2 can be expanded in asymptotic series of inverse factorials with explicit coefficients.

16 citations


Network Information
Related Topics (5)
Stochastic partial differential equation
21.1K papers, 707.2K citations
84% related
Differential equation
88K papers, 2M citations
83% related
Numerical partial differential equations
20.1K papers, 703.7K citations
82% related
Bounded function
77.2K papers, 1.3M citations
81% related
Partial differential equation
70.8K papers, 1.6M citations
81% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526