The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on the stability of a plane flame front. In this paper, we prove the well-posedness of the classical solutions for the initial-boundary value problem for this equation, under appropriate boundary conditions.
On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation / Maria Coclite, Giuseppe; di Ruvo, Lorenzo. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - ELETTRONICO. - 3:4(2021), pp. 1-43. [10.3934/mine.2021036]
On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
Maria Coclite, Giuseppe
;
2021-01-01
Abstract
The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on the stability of a plane flame front. In this paper, we prove the well-posedness of the classical solutions for the initial-boundary value problem for this equation, under appropriate boundary conditions.| File | Dimensione | Formato | |
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