Global existence of solutions to the generalized Proudmam-Johnson equation

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 78, Issue 7, 2002, Pages 136-139

  Chen, Xinfu ^a   Okamoto, Hisashi ^b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Global existence; Proudman Johnson equation

Indexed keywords

EID: 0036764646     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.78.136     Document Type: Conference Paper

References (8)

1. Chen, X., and Okamoto, H.: Global Existence of Solutions to the Proudman-Johnson Equation. Proc. Japan Acad., 76A, 149-152 (2000).
2. Doering, C.R., and Gibbon, J.D.: Applied Analysis of the Navier-Stokes Equations. Cambridge Univ. Press, Cambridge-New York (1995).
3. Giga, Y., and Giga, M.-H.: Nonlinear Partial Differential Equations. Kyoritsu Shuppan, Tokyo (1999), (in Japanese).
4. Kato, T., and Fujita, H.: On the nonstationary Navier-Stokes system. Rend. Semin. Mat. Univ. Padova, 32, 243-260 (1962).
5. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer Verlag, New York (1983).
6. Proudman, I., and Johnson, K.: Boundary-layer growth near a rear stagnation point. J. Fluid Mech., 12, 161-168 (1962).
7. Okamoto, H., and Zhu, J.: Some similarity solutions of the Navier-Stokes equations and related topics. Taiwanese J. Math., 4, 65-103 (2000).
8. Sell, G., and You, Y.: Dynamics of Evolutionary Equations. Springer Verlag, New York (2002).