Analytic solutions of the vector Burgers’ equation
نویسندگان
چکیده
منابع مشابه
Analytic solutions for the Burgers equation with source terms
Analytic solutions for Burgers equations with source terms, possibly stiff, represent an important element to assess numerical schemes. Here we present a procedure, based on the characteristic technique to obtain analytic solutions for these equations with smooth initial conditions.
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Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended G G ′ -expansion method, substituting the solutions obtained into the cor...
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For solutions of (inviscid, forceless, one dimensional) Burgers equation with random initial condition, it is heuristically shown that a stationary Feller-Markov property (with respect to the space variable) at some time is conserved at later times, and an evolution equation is derived for the infinitesimal generator. Previously known explicit solutions such as FrachebourgMartin’s (white noise ...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1996
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1373838