@article{AFST_1999_6_8_3_353_0, author = {Andreianov, Boris P.}, title = {The {Riemann} problem for $p$-systems with continuous flux function}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {353--367}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 8}, number = {3}, year = {1999}, mrnumber = {1751170}, zbl = {0959.35112}, language = {en}, url = {http://archive.numdam.org/item/AFST_1999_6_8_3_353_0/} }
TY - JOUR AU - Andreianov, Boris P. TI - The Riemann problem for $p$-systems with continuous flux function JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 SP - 353 EP - 367 VL - 8 IS - 3 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://archive.numdam.org/item/AFST_1999_6_8_3_353_0/ LA - en ID - AFST_1999_6_8_3_353_0 ER -
%0 Journal Article %A Andreianov, Boris P. %T The Riemann problem for $p$-systems with continuous flux function %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1999 %P 353-367 %V 8 %N 3 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://archive.numdam.org/item/AFST_1999_6_8_3_353_0/ %G en %F AFST_1999_6_8_3_353_0
Andreianov, Boris P. The Riemann problem for $p$-systems with continuous flux function. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 3, pp. 353-367. http://archive.numdam.org/item/AFST_1999_6_8_3_353_0/
[1] Solutions auto-similaires du problème de Riemann pour une loi de conservation scalaire quasilinéaire à fonction de flux continue avec la viscosité ∈tuxx" Publ. Math. Besançon, An. non-linéaire, V.15 (1995/97), pp.127-131. | MR | Zbl
). - "[2] Vanishing viscosity method and explicit formulae for solutions of the Riemann problem for scalar conservation laws" Vestn. Mosc. Univ. I (1999), No.1, pp.3-8. | MR | Zbl
). - "[3]
). - Ph. D. thesis, Univ. Franche-Comté, 2000.[4] The Riemann Problem and Interaction of Waves in Gas Dynamics" Pitman Monographs and Surveys in Pure and Appl. Math., 41 (1989). | MR | Zbl
), ) ( , ). - "[5] Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws" Arch. Rat. Mech. Anal., V.53 (1974), No.3, pp.203-217. | MR | Zbl
). - "[6] Some problems in the theory of quasilinear equations" Uspekhi Mat. Nauk, V.14 (1959), No. 2, pp. 87-158; English tr. in Amer. Math. Soc. Transl. Ser. V.29 (1963), No.2, pp.295-381. | MR | Zbl
). - "[7] A uniqueness criterion for the Riemann problem" Mat.Ústav AV ČR, V.84 (1993); Hiroshima Math. J. V. 27 (1997), No. 2, pp. 307-346. | MR | Zbl
), ). - "[8] Nonlinear partial differential equations" Part II. (Lections 3,4) Mosc. St. Univ. edition, 1970.
). - "[9] Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions" J. Math. Anal. Appl., V.45 (1974), No. 3, pp. 81-90. | MR | Zbl
). - "[10] Elastic as limit of viscoelastic response, in a context of selfsimilar viscous limits" J. Diff. Eq., V.123 (1995), No. 1, pp. 305-341. | MR | Zbl
).- "[11] Viscosity and relaxation approximations for hyperbolic systems of conservation laws" in "An introduction to recent developments in theory and numerics of conservation laws", D. Kroener & al., eds.; Lect. Notes in Comp. Sci. and Engin., V.5, Springer, 1998, pp. 73-122. | Zbl
). - "[12] The Riemann problem for materials with nonconcave equations of state. I: Isentropic flow" J. Math. Anal. Appl., V. 38 (1972), pp. 454-466. | MR | Zbl
). - "