On rates of propagation for Burgers’ equation

William Alan Day; Giuseppe Saccomandi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1998)

  • Volume: 9, Issue: 3, page 149-156
  • ISSN: 1120-6330

Abstract

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We give asymptotic formulae for the propagation of an initial disturbance of the Burgers’ equation.

How to cite

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Day, William Alan, and Saccomandi, Giuseppe. "On rates of propagation for Burgers’ equation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 9.3 (1998): 149-156. <http://eudml.org/doc/252361>.

@article{Day1998,
abstract = {We give asymptotic formulae for the propagation of an initial disturbance of the Burgers’ equation.},
author = {Day, William Alan, Saccomandi, Giuseppe},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Burgers’ equation; Rate of propagation of a disturbance; Hopf-Cole transformation; Burgers' equation; heat equation},
language = {eng},
month = {9},
number = {3},
pages = {149-156},
publisher = {Accademia Nazionale dei Lincei},
title = {On rates of propagation for Burgers’ equation},
url = {http://eudml.org/doc/252361},
volume = {9},
year = {1998},
}

TY - JOUR
AU - Day, William Alan
AU - Saccomandi, Giuseppe
TI - On rates of propagation for Burgers’ equation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1998/9//
PB - Accademia Nazionale dei Lincei
VL - 9
IS - 3
SP - 149
EP - 156
AB - We give asymptotic formulae for the propagation of an initial disturbance of the Burgers’ equation.
LA - eng
KW - Burgers’ equation; Rate of propagation of a disturbance; Hopf-Cole transformation; Burgers' equation; heat equation
UR - http://eudml.org/doc/252361
ER -

References

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  1. Fichera, G., Is the Fourier theory of heat propagation paradoxical?Rend. Circ. Mat. Palermo, 41, 1992, 5-28. Zbl0756.35035MR1175584DOI10.1007/BF02844459
  2. Day, W. A. - Saccomandi, G., On the propagation of the bulk of a disturbance for a hyperbolic equation. Quart. Appl. Math., to appear. Zbl1028.35088
  3. Day, W. A. - Saccomandi, G., On the propagation of the bulk of a mass distribution subject to periodic convection and diffusion. Quart. Appl. Math., to appear. Zbl1028.35056
  4. Day, W. A., On rates of propagation of heat according to Fourier’s theory. Quart. Appl. Math., 55, 1997, 127-138. Zbl0886.35068MR1433756
  5. Day, W. A., A note on the propagation of temperature disturbances. Quart. Appl. Math., 55, 1997, 565-572. Zbl0979.35505MR1466149
  6. Witham, G. B., Linear and nonlinear waves. Wiley-Interscience, New York1974. Zbl0373.76001MR483954

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