Matches in SemOpenAlex for { <https://semopenalex.org/work/W2485044462> ?p ?o ?g. }
- W2485044462 endingPage "497" @default.
- W2485044462 startingPage "454" @default.
- W2485044462 abstract "Abstract This chapter begins with a study of the behaviour of solutions of the PME for large times. The cornerstone of the presentation is the interplay between asymptotic behaviour and self-similarity. It is also shown that large time behaviour gives rise to the formation of patterns. Section 18.2 contains a proof of the asymptotic theorem for non-negative solutions using the so-called four step method, based on rescaling and compactness. The convergence of supports and interfaces for compactly supported data occupies Section 18.3. Section 18.4 examines the so-called continuous scaling and the associated Fokker-Planck equations. Section 18.6 introduces another functional, the entropy. Section 18.7 delves in to the peculiarities of asymptotic behaviour in one space dimension; this allows us to establish optimal convergence rates. Section 18.8 contains a proof of asymptotic convergence for signed solutions, and the extension to cover integrable forcing terms. Section 18.9 gives an introduction to the special properties of the large time behaviour of the FDE." @default.
- W2485044462 created "2016-08-23" @default.
- W2485044462 creator A5028901813 @default.
- W2485044462 date "2006-10-26" @default.
- W2485044462 modified "2023-09-26" @default.
- W2485044462 title "ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM" @default.
- W2485044462 cites W1588713757 @default.
- W2485044462 cites W1592209446 @default.
- W2485044462 cites W1599098104 @default.
- W2485044462 cites W1850105541 @default.
- W2485044462 cites W195505826 @default.
- W2485044462 cites W1963831831 @default.
- W2485044462 cites W1965092255 @default.
- W2485044462 cites W1965370657 @default.
- W2485044462 cites W1967790043 @default.
- W2485044462 cites W1969114948 @default.
- W2485044462 cites W1969291364 @default.
- W2485044462 cites W1971349393 @default.
- W2485044462 cites W1971976823 @default.
- W2485044462 cites W1972135717 @default.
- W2485044462 cites W1972500742 @default.
- W2485044462 cites W1972642822 @default.
- W2485044462 cites W1972800766 @default.
- W2485044462 cites W1973158420 @default.
- W2485044462 cites W1973917068 @default.
- W2485044462 cites W1974633883 @default.
- W2485044462 cites W1974675646 @default.
- W2485044462 cites W1975328143 @default.
- W2485044462 cites W1976413281 @default.
- W2485044462 cites W1976451714 @default.
- W2485044462 cites W1977068511 @default.
- W2485044462 cites W1977541769 @default.
- W2485044462 cites W1977575427 @default.
- W2485044462 cites W1978242387 @default.
- W2485044462 cites W1979115093 @default.
- W2485044462 cites W1981822292 @default.
- W2485044462 cites W1982071274 @default.
- W2485044462 cites W1982139883 @default.
- W2485044462 cites W1982357817 @default.
- W2485044462 cites W1982715551 @default.
- W2485044462 cites W1983041142 @default.
- W2485044462 cites W1983149630 @default.
- W2485044462 cites W1983418475 @default.
- W2485044462 cites W1984393042 @default.
- W2485044462 cites W1984965335 @default.
- W2485044462 cites W1985115529 @default.
- W2485044462 cites W1986896207 @default.
- W2485044462 cites W1987588325 @default.
- W2485044462 cites W1987599874 @default.
- W2485044462 cites W1990076790 @default.
- W2485044462 cites W1990783209 @default.
- W2485044462 cites W1994105918 @default.
- W2485044462 cites W1994577834 @default.
- W2485044462 cites W1994761506 @default.
- W2485044462 cites W1995293149 @default.
- W2485044462 cites W1995923369 @default.
- W2485044462 cites W1996808583 @default.
- W2485044462 cites W1997291778 @default.
- W2485044462 cites W2000271120 @default.
- W2485044462 cites W2000712025 @default.
- W2485044462 cites W2001450907 @default.
- W2485044462 cites W2001870158 @default.
- W2485044462 cites W2002212533 @default.
- W2485044462 cites W2004527624 @default.
- W2485044462 cites W2005782001 @default.
- W2485044462 cites W2006225674 @default.
- W2485044462 cites W2006369296 @default.
- W2485044462 cites W2006760098 @default.
- W2485044462 cites W2008053689 @default.
- W2485044462 cites W2008140516 @default.
- W2485044462 cites W2008434865 @default.
- W2485044462 cites W2008461452 @default.
- W2485044462 cites W2008572581 @default.
- W2485044462 cites W2008579951 @default.
- W2485044462 cites W2008683313 @default.
- W2485044462 cites W2010168521 @default.
- W2485044462 cites W2010557690 @default.
- W2485044462 cites W2010852085 @default.
- W2485044462 cites W2011430229 @default.
- W2485044462 cites W2012216547 @default.
- W2485044462 cites W2014385065 @default.
- W2485044462 cites W2014447864 @default.
- W2485044462 cites W2014552789 @default.
- W2485044462 cites W2015043730 @default.
- W2485044462 cites W2015863693 @default.
- W2485044462 cites W2016911123 @default.
- W2485044462 cites W2020205680 @default.
- W2485044462 cites W2022022697 @default.
- W2485044462 cites W2022154071 @default.
- W2485044462 cites W2023111075 @default.
- W2485044462 cites W2024516900 @default.
- W2485044462 cites W2026414764 @default.
- W2485044462 cites W2028484035 @default.
- W2485044462 cites W2030304783 @default.
- W2485044462 cites W2030765885 @default.
- W2485044462 cites W2032600630 @default.
- W2485044462 cites W2034733041 @default.
- W2485044462 cites W2034944652 @default.