Well-posedness result for the Kuramoto–Velarde equation
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AbstractThe 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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1992 ◽
Vol 95
(1)
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pp. 33-74
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2019 ◽
Vol 39
(11)
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pp. 6713-6745
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2017 ◽
Vol 2019
(19)
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pp. 5859-5913
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2008 ◽
Vol 05
(03)
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pp. 547-568
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