Local well-posedness of dynamics of viscous gaseous stars

Archive for Rational Mechanics and Analysis

Volumn 195, Issue 3, 2010, Pages 797-863

  Jang, Juhi ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77950021001     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-009-0253-6     Document Type: Article

References (10)

1. Chandrasekhar S.: An Introduction to the Study of Stellar Structures. University of Chicago Press, Chicago (1938).
2. Deng Y., Liu T.-P., Yang T., Yao Z.-A.: Solutions of Euler-Poisson equations for gaseous stars. Arch. Rational Mech. Anal. 164, 261-285 (2002).
3. Ducomet B., Zlotnik A.: Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system. Appl. Math. Lett. 18, 1190-1198 (2005).
4. Evans L.: Partial Differential Equations, vol 19. American Mathematical Society, Providence (1998).
5. Jang J.: Nonlinear instability in gravitational Euler-Poisson system for γ = 6/5. Arch. Rational Mech. Anal. 188, 265-307 (2008).
6. Lin S.-S.: Stability of gaseous stars in spherically symmetric motions. SIAM J. Math. Anal. 28, 539-569 (1997).
7. Luo T., Xin Z., Yang T.: Interface behavior of compressible Navier-Stokes equations with vacuum. SIAM J. Math. Anal. 31, 1175-1191 (2000).
8. Makino T.: On a local existence theorem for the evolution equation of gaseous stars. Patterns and waves. Stud. Math. Appl. 18, 459-479 (1986).
9. Matusu-Necasova S., Okada M., Makino T.: Free boundary problem for the equation of spherically symmetric motion of viscous gas III. Jpn. J. Ind. Appl. Math. 14, 199-213 (1997).
10. Okada M., Makino T.: Free boundary problem for the equation of spherically symmetric motion of viscous gas. Jpn. J. Ind. Appl. Math. 10, 219-235 (1993).