Geodesic
One-dimensional adhesion model for large scale structures
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification : 35A20, 35L50, 35R05
Keywords: adhesion approximation, large scale structure 
@article{EJDE_2010__2010__a137,
     author = {Joseph,  Kayyunnapara Thomas},
     title = {One-dimensional adhesion model for large scale structures},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1189.35174},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a137/}
}
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Joseph,  Kayyunnapara Thomas. One-dimensional adhesion model for large scale structures. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a137/