In this paper, we study a degenerate high-order parabolic equation that describes the evolution of elastic plates and thin films and membranes of viscous liquid, in which the surface tension the liquid/air interface determines the dynamics. We prove the existence of the solutions of the Cauchy problem associated to this equation.
On a degenerate high-order parabolic equation for the evolution of elastic plates / Maria Coclite, G., Di Ruvo, L.. - In: JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. - ISSN 0219-8916. - STAMPA. - 23:02(2026), pp. 225-240. [10.1142/s0219891626500037]
On a degenerate high-order parabolic equation for the evolution of elastic plates
Maria Coclite, Giuseppe
;
2026
Abstract
In this paper, we study a degenerate high-order parabolic equation that describes the evolution of elastic plates and thin films and membranes of viscous liquid, in which the surface tension the liquid/air interface determines the dynamics. We prove the existence of the solutions of the Cauchy problem associated to this equation.File in questo prodotto:
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