On reflection of shock front in multidimensional space

Chen Shuxing

Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988)

  • page 1-9

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Shuxing, Chen. "On reflection of shock front in multidimensional space." Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988): 1-9. <http://eudml.org/doc/111933>.

@article{Shuxing1987-1988,
author = {Shuxing, Chen},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {reflection of shock waves; inviscid compressible flow; uniform stability; Goursat problem; fixed boundaries; iteration},
language = {eng},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {On reflection of shock front in multidimensional space},
url = {http://eudml.org/doc/111933},
year = {1987-1988},
}

TY - JOUR
AU - Shuxing, Chen
TI - On reflection of shock front in multidimensional space
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1987-1988
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - eng
KW - reflection of shock waves; inviscid compressible flow; uniform stability; Goursat problem; fixed boundaries; iteration
UR - http://eudml.org/doc/111933
ER -

References

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  1. [1] R. Courant and K.O. Friedrichs, Supersonic flow and shock waves, Interscience Publishers, Inc., New York (1978). Zbl0041.11302MR29615
  2. [2] C.H. Gu, A boundary value problem of hyperbolic system and its applications, Acta Math. Sinica V.13, (1963), 32-48. MR163069
  3. [3] D.Q. Li and W.C. Yu, Some existence theorems for quasilinear hyperbolic systems of partial differential equations in two independent variables. I, II, Scientia Sinica V.4 (1964), 529-550, 551-562. Zbl0173.12305
  4. [4] A. Majda, The stability of multi-dimensional shock fronts, Memoirs of A.M.S.275 (1983). Zbl0506.76075
  5. [5] A. Majda, The existence of multi-dimensional shock fronts, Memoirs of A.M.S.281 (1983). Zbl0517.76068
  6. [6] G Metivier, interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d'espace. Trans. A.M.S. V.296, N°2 (1986), 431-479. Zbl0619.35075MR846593
  7. [7] S.X. Chen, On the initial-boundary value problems for quasilinear symmetric hyperbolic system and their applications, Chin. Ann. Math. V.1 (1980), 511-521. Zbl0474.35060MR619598
  8. [8] K.O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math.11 (1958), 333-418. Zbl0083.31802MR100718
  9. [9] J. Rauch, Symmetric positive systems with boundary characteristic of constant multiplicity, Trans. A.M.S. V.291, N°1 (1985),167-186. Zbl0549.35099MR797053
  10. [10] S.X. Chen, on reflection of multi-dimensional shock front. (to be published). 

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