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

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.

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Abstract

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.

Item Type:	Journal Article
Publication:	ACTA MATHEMATICA SCIENTIA
Publisher:	ELSEVIER SCIENCE INC
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Keywords:	forced Burgers equation; radial Hermite functions; generalized Laguerre polynomials; self-similar solutions
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	12 Nov 2014 05:22
Last Modified:	12 Nov 2014 05:22
URI:	http://eprints.iisc.ac.in/id/eprint/50232

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