|
Von Neumann's comments about existence and uniqueness for the initial-boundary value problem in gas dynamics
Author(s):
Denis
Serre
Journal:
Bull. Amer. Math. Soc.
47
(2010),
139-144.
MSC (2010):
Primary 01A60, 35L65, 35L67, 35Q35, 35Q85, 76N10, 76N15, 76P05, 85A30
Posted:
October 15, 2009
MathSciNet review:
2566448
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
-
- 1.
- A. Bressan. Hyperbolic systems of conservation laws. Oxford Lecture Series in Mathematics and its Applications, 20. Oxford University Press, Oxford (2000). MR 1816648 (2002d:35002)
- 2.
- G.-Q. Chen and M. Feldman. Potential theory for shock reflection by a large-angle wedge. Proc. Nat. Acad. Sci. USA, 102 (2005), pp. 15368-15372. MR 2188921 (2006f:35214)
- 3.
- R. J. DiPerna. Convergence of the viscosity method for isentropic gas dynamics. Comm. Math. Phys., 91 (1983) pp. 1-30. Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal., 82 (1983), pp. 27-70. MR 719807 (85i:35118)
- 4.
- J. Glimm. Solutions in the large for nonlinear hyperbolic systems of equations. Comm. Pure Appl. Math., 18 (1965), pp. 697-715. MR 0194770 (33:2976)
- 5.
- S. Kruzkov. Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order. Dokl. Akad. Nauk SSSR, 187 (1969), pp. 29-32. MR 0249805 (40:3046)
- 6.
- P. D. Lax. Hyperbolic systems of conservation laws (II). Comm. Pure Appl. Math., 10 (1957), pp. 537-566. MR 0093653 (20:176)
- 7.
- J. Rauch. BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one. Comm. Math. Phys., 106 (1986), pp. 481-484. MR 859822 (87m:35139)
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(2010):
01A60, 35L65, 35L67, 35Q35, 35Q85, 76N10, 76N15, 76P05, 85A30
Retrieve articles in all Journals with MSC
(2010):
01A60, 35L65, 35L67, 35Q35, 35Q85, 76N10, 76N15, 76P05, 85A30
Additional Information:
Denis
Serre
Affiliation:
École Normale Supérieure de Lyon, D. S.: UMPA, CNRS UMR 5669. ENS de Lyon, 46 allée d'Italie. F-69364 Lyon, cedex 07, France
DOI:
10.1090/S0273-0979-09-01286-5
PII:
S 0273-0979(09)01286-5
Received by editor(s):
September 8, 2009
Posted:
October 15, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
|