The lubrication equation arises in the study of thin films and membranes of viscous liquid, in which the surface tension the liquid/air interface determines the evolution. In this paper, we prove the existence of the solutions of the Cauchy problem, associated to a generalization of that equation.
The modified lubrication equation / Coclite, Giuseppe Maria; Di Ruvo, Lorenzo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 18:2(2025), pp. 444-450. [10.3934/dcdss.2024091]
The modified lubrication equation
Coclite, Giuseppe Maria
;
2025
Abstract
The lubrication equation arises in the study of thin films and membranes of viscous liquid, in which the surface tension the liquid/air interface determines the evolution. In this paper, we prove the existence of the solutions of the Cauchy problem, associated to a generalization of that equation.File in questo prodotto:
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