ON A NONLINEAR DEGENERATE PARABOLIC TRANSPORT-DIFFUSION EQUATION WITH A DISCONTINUOUS COEFFICIENT
By Kenneth Hvistendahl Karlsen, Nils Henrik Risebro. 2002
69 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/9f4622458fc35b9f31b39007ceaf03cd4fab3006
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Florence Bachmann
- Kenneth Hvistendahl Karlsen
- Nils Henrik Risebro
- Adimurthi
- John D. Towers
- Shyam Sundar Ghoshal
- Rajib Dutta
- G. D. Veerappa Gowda
Citations in the corpus
- OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS (2005, unknown): “They use regularization of coefficients as in [ 18 ], via the Hamilton–Jacobi equation and regularization of coefficients as in [31], some are based on front tracking as in [14, 24, 23, 10] while others used numerical schemes of the Godunov or Enquist–Osher type as in [34, 35, 19, 9] and of the Lax–”
- ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS (2003, unknown): “[6, 7, 18, 19, 20], we let γ(x) := vmax(x) and rewrite the conservation law (1.”
- CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX (2004, background): “We refer to introductory parts of [12, 13] for an overview of the activity on problems with discontinuous fluxes.”
- Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient (2002, methodology): “In contrast to the present paper, the convergence proof in [31] used the compensated compactness theory.”
- Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients (2006, background): “It has been proven in different works (Bachmann, 2004; Karlsen and Risebro, 2001; Karlsen et al., 2002b; Seguin and Vovelle, 2003; Towers, 2000) that this notion of entropy solution allows to show that existence, uniqueness, consistence with approximations holds.”
- Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux (2011, background): “[6] Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D.”