Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 70, pp. 1-15.

Title: One-dimensional adhesion model for large scale structures
       
Author: Kayyunnapara Thomas Joseph (Tata Inst. of Fun. Research, Mumbai, India)

Abstract:
 We discuss initial value problems and initial boundary value problems
 for some systems of partial differential equations appearing in the
 modelling for the large scale structure formation in the universe.
 We restrict the initial data to be bounded measurable and locally
 bounded variation function and use Volpert product to justify the
 product which appear in the equation. For more general initial data
 in the class of generalized functions of Colombeau, we construct
 the solution in the sense of association.

Submitted January 30, 2010. Published May 17, 2010.
Math Subject Classifications: 35A20, 35L50, 35R05.
Key Words: Adhesion approximation; large scale structure