The Kuramoto-Velarde equation describes the spatio-temporal evolution of step morphology on crystal surfaces, as well as the dynamics of spinodal decomposition in phase-separating systems subjected to an external field. In this paper, we prove the well-posedness of the solutions for the initial-boundary value problem for this equation, under several possible boundary conditions.
On the initial-boundary value problem for a Kuramoto-Velarde equation / Coclite, Giuseppe Maria; Di Ruvo, Lorenzo. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 21:1(2026), pp. 92-146. [10.3934/nhm.2026005]
On the initial-boundary value problem for a Kuramoto-Velarde equation
Coclite, Giuseppe Maria
;
2026
Abstract
The Kuramoto-Velarde equation describes the spatio-temporal evolution of step morphology on crystal surfaces, as well as the dynamics of spinodal decomposition in phase-separating systems subjected to an external field. In this paper, we prove the well-posedness of the solutions for the initial-boundary value problem for this equation, under several possible boundary conditions.File in questo prodotto:
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