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

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

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 solution...

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Veröffentlicht in:Studies in applied mathematics (Cambridge) 2003-02, Vol.110 (2), p.181-204
Hauptverfasser: Sachdev, P. L., Enflo, B. O., Rao, Ch. Srinivasa, Vaganan, B. Mayil, Goyal, Poonam
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Sprache:eng
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Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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container_issue 2
container_start_page 181
container_title Studies in applied mathematics (Cambridge)
container_volume 110
creator Sachdev, P. L.
Enflo, B. O.
Rao, Ch. Srinivasa
Vaganan, B. Mayil
Goyal, Poonam
description 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.
doi_str_mv 10.1111/1467-9590.00236
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subjects Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
title Large-Time Asymptotics for Periodic Solutions of Some Generalized Burgers Equations
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