On the uniqueness of vanishing viscosity solutions for Riemann problems for polymer flooding

Author:

Shen WenORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Andreianov, B.: New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux. ESAIM Proc. Surv. 50, 40–65 (2015)

2. Buckley, S.E., Leverett, M.: Mechanism of fluid displacement in sands. Trans. AIME 146, 107–116 (1942)

3. Gimse, T., Risebro, N.H.: Riemann problems with a discontinuous flux function. In: Engquist, B., Gustafsson, B. (eds). Proceedings of Third International Conference on Hyperbolic Problems. Theory, Numerical Method and Applications. Studentlitteratur/Chartwell-Bratt, Lund-Bromley, pp. 488–502 (1991)

4. Guerra, G., Shen, W.: Vanishing viscosity solutions of Riemann problems for models of polymer flooding. In: Gesztesy, F., Hanche-Olsen, H., Jakobsen, E., Lyubarskii, Y., Risebro, N., Seip, K. (eds). To appear in “Partial Differential Equations, Mathematical Physics, and Stochastic Analysis”. A Volume in Honor of Helge Holden’s 60th Birthday. EMS Congress Reports. (2017)

5. Oleinik, O.: Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation. Uspehi Mat. Nauk. 14(2) (86), pp. 165-170 (1959) (Russian). English Translation in Amer. Math. Soc. Transl. Ser. 2, 33, pp. 285–290 (1964)

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