SOLUTIONS OF A SYSTEM OF FORCED BURGERS EQUATION IN TERMS OF GENERALIZED LAGUERRE POLYNOMIALS
Data(s) |
2014
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Resumo |
In this article, we obtain explicit solutions of a linear PDE subject to a class of radial square integrable functions with a monotonically increasing weight function |x|(n-1)e(beta vertical bar x vertical bar 2)/2, beta >= 0, x is an element of R-n. This linear PDE is obtained from a system of forced Burgers equation via the Cole-Hopf transformation. For any spatial dimension n > 1, the solution is expressed in terms of a family of weighted generalized Laguerre polynomials. We also discuss the large time behaviour of the solution of the system of forced Burgers equation. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/50232/1/act_mat_sci_34-5_1461_2014.pdf Yadav, Manoj K (2014) SOLUTIONS OF A SYSTEM OF FORCED BURGERS EQUATION IN TERMS OF GENERALIZED LAGUERRE POLYNOMIALS. In: ACTA MATHEMATICA SCIENTIA, 34 (5). pp. 1461-1472. |
Publicador |
ELSEVIER SCIENCE INC |
Relação |
http://dx.doi.org/ 10.1016/S0252-9602(14)60096-5 http://eprints.iisc.ernet.in/50232/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |