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Large‐Time Asymptotics for Periodic Solutions of Some Generalized Burgers Equations
Author(s) -
Sachdev P. L.,
Enflo B. O.,
Rao Ch. Srinivasa,
Vaganan B. Mayil,
Goyal Poonam
Publication year - 2003
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00236
Subject(s) - mathematics , burgers' equation , argument (complex analysis) , construct (python library) , mathematical analysis , partial differential equation , computer science , biochemistry , chemistry , programming language
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.