No Access

A GENERALIZED THIN FILM EQUATION

CHANGCHUN LIU

Department of Mathematics, Jilin University, Changchun 130012, China

Department of Mathematics, Nanjing Normal University, Nanjing 210097, China

Search for more papers by this author

JINGXUE YIN

Department of Mathematics, Jilin University, Changchun 130012, China

Search for more papers by this author

, and

HONGJUN GAO

Department of Mathematics, Nanjing Normal University, Nanjing 210097, China

Search for more papers by this author

https://doi.org/10.1142/S0252959904000329Cited by:6 (Source: Crossref)

Abstract

The authors study a generalized thin film equation. Under some assumptions on the initial value, the existence of weak solutions is established by the time-discrete method. The uniqueness and asymptotic behavior of solutions are also discussed.

Project supported by the 973 Project of the Ministry of Science and Technology of China and the National Natural Science Foundation of China (No.10125107).

Keywords:

References

J. R. King, Math. Comput. Modelling 34(7-8), 737 (2001). Crossref, Google Scholar
A. B. Tayler , Mathematical Models in Applied Mechanics ( Clarendon , Oxford , 1986 ) . Google Scholar
E. Beretta, M. Bertsch and R. Dal Passo, Arch. Rational Mech. Anal. 129(2), 175 (1995). Crossref, Google Scholar
F. Baiet al., Nonlinearity 8, 131 (1995). Crossref, Google Scholar
C. M. Elliott and A. M. Stuart, J. Diff. Equations 128, 387 (1996). Crossref, Google Scholar
K. Chang , Critical Point Theory and Its Applications ( Shanghai Sci. Tech. Press , Shanghai , 1986 ) . Google Scholar
J. Simon, Ann. Math. Pure Appl. 146, 65 (1987). Crossref, Google Scholar
Y. Chen and L. Wu , Second Order Elliptic Equations and Elliptic Systems ( Science Press , Beijing , 1991 ) . Google Scholar