We consider the solutions of Riemann problems for polymer flooding models. In a suitable Lagrangian coordinate the systems take a triangular form, where the equation for thermodynamics is decoupled from the hydrodynamics, leading to the study of scalar conservation laws with discontinuous flux functions. We prove three equivalent admissibility conditions for shocks for scalar conservation laws with discontinuous flux. Furthermore, we show that a variation of minimum path of [10] proposed in [18] is the vanishing viscosity limit of a partially viscous model with viscosity only in the hydro-dynamics.

Guerra, G., Shen, W. (2018). Vanishing viscosity solutions of Riemann problems for models of polymer flooding. In F. Gesztesy, H. HancheOlsen, E.R. Jakobsen, Y. Lyubarskii, N.H. Risebro, K. Seip (a cura di), Non-linear partial differential equations, mathematical physics, and stochastic analysis (pp. 261-285). ZURICH : EUROPEAN MATHEMATICAL SOC.

Vanishing viscosity solutions of Riemann problems for models of polymer flooding

Guerra, Graziano
Membro del Collaboration Group
;
2018

Abstract

We consider the solutions of Riemann problems for polymer flooding models. In a suitable Lagrangian coordinate the systems take a triangular form, where the equation for thermodynamics is decoupled from the hydrodynamics, leading to the study of scalar conservation laws with discontinuous flux functions. We prove three equivalent admissibility conditions for shocks for scalar conservation laws with discontinuous flux. Furthermore, we show that a variation of minimum path of [10] proposed in [18] is the vanishing viscosity limit of a partially viscous model with viscosity only in the hydro-dynamics.
Capitolo o saggio
DISCONTINUOUS FLUX FUNCTION; SCALAR CONSERVATION-LAWS; CONVERGENCE; STABILITY; SYSTEMS; SCHEME
English
Non-linear partial differential equations, mathematical physics, and stochastic analysis
Gesztesy, F; HancheOlsen, H; Jakobsen, ER; Lyubarskii, Y; Risebro, NH; Seip, K
2018
978-3-03719-186-6
EUROPEAN MATHEMATICAL SOC
261
285
Guerra, G., Shen, W. (2018). Vanishing viscosity solutions of Riemann problems for models of polymer flooding. In F. Gesztesy, H. HancheOlsen, E.R. Jakobsen, Y. Lyubarskii, N.H. Risebro, K. Seip (a cura di), Non-linear partial differential equations, mathematical physics, and stochastic analysis (pp. 261-285). ZURICH : EUROPEAN MATHEMATICAL SOC.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/298058
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