scholarly journals Large time behaviour of solutions of a system of generalized Burgers equation

2005 ◽  
Vol 115 (4) ◽  
pp. 509-517
Author(s):  
K. T. Joseph
Keyword(s):  
Large Time ◽  
Burgers Equation ◽  
Time Behaviour ◽  
Large Time Behaviour ◽  
Generalized Burgers Equation

Decay rates for the solutions of model equations for bore propagation

1995 ◽  
Vol 125 (2) ◽  
pp. 371-398 ◽  
Author(s):  
S. V. Rajopadhye
Keyword(s):  
Initial Data ◽  
Large Time ◽  
Burgers Equation ◽  
Decay Rates ◽  
Time Behaviour ◽  
Large Time Behaviour ◽  
Temporal Decay ◽  
De Vries ◽  
Model Equations

We study the large-time behaviour of solutions to the Korteweg-de Vries-Burgers equation with bore-like initial data. This work relies on the methods of Amick, Bona and Schonbeck to obtain sharp rates of temporal decay of certain norms of the solution, thus obtaining an improvement over results of Naumkin and Shishmarev.

Large-time behaviour of solutions of the inviscid non-planar Burgers equation

2010 ◽  
Vol 69 (4) ◽  
pp. 345-357
Author(s):  
Ch. Srinivasa Rao ◽  
Manoj K. Yadav
Keyword(s):  
Large Time ◽  
Burgers Equation ◽  
Time Behaviour ◽  
Large Time Behaviour

Large-time behaviour of solutions of Burgers' equation

2002 ◽  
Vol 132 (4) ◽  
pp. 843-878 ◽  
Author(s):  
Daniel B. Dix
Keyword(s):  
Initial Data ◽  
Asymptotic Behaviour ◽  
Initial Value Problem ◽  
Large Time ◽  
Burgers Equation ◽  
Time Behaviour ◽  
Initial Value ◽  
Large Time Behaviour ◽  
Image Position ◽  
Sharp Error

The large-time asymptotic behaviour of real-valued solutions of the pure initial-value problem for Burgers' equation ut + uuxuxx = 0, is studied. The initial data satisfy u0(x) ~ nx as |x| , where n R. There are two constants of the motion that affect the large-time behaviour: Hopf considered the case n = 0 (i.e. u0L1(R)), and the case sufficiently small was considered by Dix. Here we completely remove that smallness condition. When n < 1, we find an explicit function U(), depending only on and n, such that uniformly in . When n 1, there are two different functions U() that simultaneously attract the quantity t12u(t12, t), and each one wins in its own range of . Thus we give an asymptotic description of the solution in different regions and compute its decay rate in L. Sharp error estimates are proved.

scholarly journals Large time behaviour of someN-body systems

1985 ◽  
Vol 101 (1) ◽  
pp. 129-152
Author(s):  
M. Krishna
Keyword(s):  
Large Time ◽  
Time Behaviour ◽  
Large Time Behaviour

Large time behaviour of solutions to the 3D-NSE in Xσ spaces

2020 ◽  
Vol 482 (2) ◽  
pp. 123566 ◽  
Author(s):  
Jamel Benameur ◽  
Mariem Bennaceur
Keyword(s):  
Large Time ◽  
Time Behaviour ◽  
Large Time Behaviour
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