Interactions of Delta Shock Waves for Zero-Pressure Gas Dynamics with Energy Conservation Law

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Cai, Wei; Zhang, Yanyan;

We study the interactions of delta shock waves and vacuum states for the system of conservation laws of mass, momentum, and energy in zero-pressure gas dynamics. The Riemann problems with initial data of three piecewise constant states are solved case by case, and four ... View more
  • References (31)
    31 references, page 1 of 4

    Bouchut, F.. On zero pressure gas dynamics. Advances in Kinetic Theory and Computing. 1994; 22: 171-190

    Agarwal, R. K., Halt, D. W.. A modified CUSP scheme in wave/particle split form for unstructured grid Euler flows. Frontiers of Computational Fluid Dynamics. 1994: 155-163

    Li, Y., Cao, Y.. Second order large particle difference method. Science China Mathematics A. 1985; 22: 171-190

    Brenier, Y., Grenier, E.. Sticky particles and scalar conservation laws. SIAM Journal on Numerical Analysis. 1998; 35 (6): 2317-2328

    Shandarin, S. F., Zeldovich, Ya. B.. The large-scale structure of the universe: turbulence, intermittency, structures in a self-gravitating medium. Reviews of Modern Physics. 1989; 61 (2): 185-220

    Weinan, E., Rykov, Y. G., Sinai, Y. G.. Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Communications in Mathematical Physics. 1996; 177 (2): 349-380

    Kraiko, A.. Discontinuity surfaces in medium without self-pressure. Prikladnaia Matematika i Mekhanika. 1979; 43: 539-549

    Nilsson, B., Rozanova, O. S., Shelkovich, V. M.. Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II. Applicable Analysis. 2011; 90 (5): 831-842

    Nilsson, B., Shelkovich, V. M.. Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks. Applicable Analysis. 2011; 90 (11): 1677-1689

    Albeverio, S., Rozanova, O. S., Shelkovich, V. M.. Transport and concentration processes in the multidimensional zero-pressure gas dynamics model with the energy conservation law.

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