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APPROXIMATE TRAVELING WAVES FOR GENERALIZED KPP EQUATIONS AND CLASSICAL MECHANICS
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UNSPECIFIED. (1994) APPROXIMATE TRAVELING WAVES FOR GENERALIZED KPP EQUATIONS AND CLASSICAL MECHANICS. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 446 (1928). pp. 529554. ISSN 13645021
Full text not available from this repository.Abstract
We consider the existence of approximate travelling waves of generalized KPP equations in which the initial distribution can depend on a small parameter mu which in the limit mu > 0 is the sum of some deltafunctions or a step function. Using the method of Elworthy & Truman (1982) we construct a classical path which is the backward flow of a classical newtonian mechanics with given initial position and velocity before the time at which the caustic appears. By the FeynmanKac formula and the MaruyamaGirsanovCameronMartin transformation we obtain an identity from which, with a late caustic assumption, we see the propagation of the global wave front and the shape of the trough. Our theory shows clearly how the initial distribution contributes to the propagation of the travelling wave. Finally, we prove a Huygens principle for KPP equations on complete riemannian manifolds without cut locus, with some bounds on their volume element, in particular CartanHadamard manifolds.
Item Type:  Journal Article  

Subjects:  Q Science  
Journal or Publication Title:  PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES  
Publisher:  ROYAL SOC LONDON  
ISSN:  13645021  
Official Date:  8 September 1994  
Dates: 


Volume:  446  
Number:  1928  
Number of Pages:  26  
Page Range:  pp. 529554  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/20330 
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