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What is Thermocapillary Film Rupture Analysis about?
This paper investigates stationary periodic solutions to the thermocapillary thin-film model, demonstrating that as the Marangoni number exceeds a critical value, the constant solution becomes unstable and bifurcates into periodic solutions. The authors establish the existence of a global bifurcation curve of these solutions, which ultimately converge to a weak stationary periodic solution exhibiting film rupture. The analysis employs Hamiltonian dynamics and global bifurcation theory to rigorously characte
- Author
- plswatchhiyt
- Language
- EN