Commun. Comput. Phys., 5 (2009), pp. 565-581.

Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

Alina Chertock 1*, Alexander Kurganov 2

1 Department of Mathematics, NC State University, Raleigh, NC 27695, USA.
2 Mathematics Department, Tulane University, New Orleans, LA 70118, USA.

Received 14 September 2007; Accepted (in revised version) 6 February 2008
Available online 1 August 2008


We compute multivalued solutions of one- and two-dimensional pressureless gas dynamics equations by deterministic particle methods. Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure. We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution.

AMS subject classifications: 65M25, 65D10, 65D15, 33F05, 35L67, 35Q60, 76N99

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Key words: Pressureless gas dynamics equations, semiclassical transport models, deterministic particle methods.

*Corresponding author.
Email: (A. Chertock), (A.Kurganov)

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