Journal
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
Volume 14, Issue 4, Pages 659-679Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s40574-021-00303-7
Keywords
Existence; Uniqueness; Stability; Kuramoto-Velarde equation; Cauchy problem
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Funding
- Politecnico di Bari within the CRUI-CARE Agreement
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The Kuramoto-Velarde equation describes slow space-time variations of disturbances at interfaces and plasma instability fronts. It also proves the well-posedness of classical solutions for the Cauchy problem under appropriate assumptions on initial data, time, and coefficients.
The Kuramoto-Velarde equation describes slow space-time variations of disturbances at interfaces, diffusion-reaction fronts and plasma instability fronts. It also describes Benard-Marangoni cells that occur when there is large surface tension on the interface in a microgravity environment. Under appropriate assumption on the initial data, of the time T, and the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.
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