SOLUTIONS OF A SYSTEM OF FORCED BURGERS EQUATION IN TERMS OF GENERALIZED LAGUERRE POLYNOMIALS


Autoria(s): Yadav, Manoj K
Data(s)

2014

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