On a Local Existence Theorem for the Evolution Equation of Gaseous Stars

Studies in Mathematics and its Applications

Volumn 18, Issue C, 1986, Pages 459-479

  Makino, Tetu ^a  

^a OSAKA SANGYO UNIVERSITY   (Japan)

Author keywords

astrophysics; Cauchy problems; hydrodynamics; quasi linear hyperbolic systems; self gravitating systems

Indexed keywords

EID: 77957028939     PISSN: 01682024     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0168-2024(08)70142-5     Document Type: Article

References (8)

1. S. Chandrasekhar, An Introduction to the Study of Stellar Structure, Univ. Chicago Press, 1939.
2. Coddington, E.A., Levinson, N., Theory of Ordinary Differential Equations, 1955, McGraw-Hill, New York.
3. Gilberg, D., Trudinger, N.S., Elliptic Partial Differentia! Equations of Second Order, 1983, Springer, Berlin.
4. Kato, T., The Cauchy problem for quasi-linear symmetric hyperbolic systems. Arch. Rational Mech. Anal. 58 (1975), 181–205.
5. Klainerman, S., Majda, A., Compressible and incompressible fluids. Comm. Pure Appl. Math. 35 (1982), 629–651.
6. Ledoux, P., Walraven, Th., Variable Stars, Handbuch der Physik, Bd. LI, 1985, Springer, Berlin, 353–604.
7. S. Mizohata The Theory of Partial Differential Equations, Cambridge Univ. Press, 1973.
8. Ukai, S., Okabe, T., On classical solutions in the large in time of two-dimensional Vlasov's equation. Osaka J. Math. 15 (1978), 245–261.