Erratum: “Approximate Equations for Long Nonlinear Waves on a Viscous Fluid”

Jeffrey, Topper; Kawahara, Takuji

doi:10.1143/jpsj.44.2003

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2021

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“…In particular, the nonlinearities, γ (∂ x u) 2 and αu∂ 2 x u, model pressure destabilization effects striving to rupture the interface. Moreover, in [7], (1.1) is deduced to describe the long waves on a viscous fluid flowing down an inclined plane, while, in [8], (1.1) is deduced to model the drift waves in a plasma.…”

Section: Introductionmentioning

confidence: 99%

Well-posedness result for the Kuramoto–Velarde equation

Coclite

Ruvo

2021

Boll Unione Mat Ital

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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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Section: Introductionmentioning

confidence: 99%