Generic existence of pattern equilibria for a selfpotentiating liquid layer

DOI10.1016/0362-546X(82)90019-0zbMath0481.76053OpenAlexW1984705200MaRDI QIDQ3939465

Giorgio Fusco, Lionello Pasquini

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90019-0

zbMATH Keywords

gravitybifurcationhexagonal patternsnonlinear integral equationadhesiveLyapunov-Schmidt procedurecohesiveFrechet derivativeshorizontal planeequilibrium of liquid layer

Mathematics Subject Classification ID

Hydrodynamic stability (76E99)

Cites Work

• Applications of generic bifurcation. I
• Bifurcation from simple eigenvalues
• Stability and bifurcation in fluid dynamics
• Qualitative methods in bifurcation theory
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
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