Large-Time Asymptotics for Periodic Solutions of Some Generalized Burgers Equations

  1. P. L. Sachdev,
  2. B. O. Enflo,
  3. Ch. Srinivasa Rao,
  4. B. Mayil Vaganan,
  5. Poonam Goyal

Article first published online: 10 JAN 2003

DOI: 10.1111/1467-9590.00236

Issue

Studies in Applied Mathematics

Studies in Applied Mathematics

Volume 110, Issue 2, pages 181–204, February 2003

Additional Information

How to Cite

Sachdev, P. L., Enflo, B. O., Rao, Ch. S., Vaganan, B. M. and Goyal, P. (2003), Large-Time Asymptotics for Periodic Solutions of Some Generalized Burgers Equations. Studies in Applied Mathematics, 110: 181–204. doi: 10.1111/1467-9590.00236

Author Information

  1. Indian Institute of Science,

*Address for correspondence: P. L. Sachdev, Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India; e-mail: sachdev@math.iisc.ernet.in
This work, in part, was carried out under nonlinear studies group program at Indian Institute of Science, Bangalore supported by ISRO and DRDO (India).

Publication History

  1. Issue published online: 10 JAN 2003
  2. Article first published online: 10 JAN 2003
  3. (Received April 10, 2002)

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In this paper, we construct large-time asymptotic solutions of some generalized Burgers equations with periodic initial conditions by using a balancing argument. These asymptotics are validated by a careful numerical study. We also show that our asymptotic results agree with the approximate solutions obtained by Parker [1] in certain limits.

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