The higher-order convective Cahn-Hilliard equation describes the evolution of crystal surfaces faceting through surface electromigration, the growing surface faceting, and the evolution of dynamics of phase transitions in ternary oil-water-surfactant systems. In this paper, we study the $H^3$ solutions of the Cauchy problem and prove, under different assumptions on the constants appearing in the equation and on the mean of the initial datum, that they are well-posed.
A Note on the Solutions for a Higher-Order Convective Cahn–Hilliard-Type Equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 8:10(2020). [10.3390/math8101835]
A Note on the Solutions for a Higher-Order Convective Cahn–Hilliard-Type Equation
Coclite, Giuseppe Maria
;
2020-01-01
Abstract
The higher-order convective Cahn-Hilliard equation describes the evolution of crystal surfaces faceting through surface electromigration, the growing surface faceting, and the evolution of dynamics of phase transitions in ternary oil-water-surfactant systems. In this paper, we study the $H^3$ solutions of the Cauchy problem and prove, under different assumptions on the constants appearing in the equation and on the mean of the initial datum, that they are well-posed.| File | Dimensione | Formato | |
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