Positive rupture solutions of steady states for thin-film-type equations
Author:
Affiliation:
1. Department of Mathematics, Henan Normal University 1 , Xinxiang 453007, People’s Republic of China
2. School of Mathematical Sciences, Anhui University 2 , Hefei 230601, People’s Republic of China
Abstract
Funder
National Key Research and Development Program of China
National Natural Science Foundation of China
Publisher
AIP Publishing
Link
https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0203211/19887570/041510_1_5.0203211.pdf
Reference34 articles.
1. Nonlinear stability of evaporating/condensing liquid films;J. Fluid Mech.,1988
2. Long-wave instabilities and saturation in thin film equations;Commun. Pure Appl. Math.,1998
3. Finite-time blow-up of solutions of some long-wave unstable thin film equations;Indiana Univ. Math. J.,2000
4. Positive solutions of an elliptic equation with negative exponent: Stability and critical power;J. Differ. Equations,2009
5. Compactness of a nonlinear eigenvalue problem with a singular nonlinearity;Commun. Contemp. Math.,2008
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