The Kudryashov-Sinelshchikov equation models the evolution of the long weakly nonlinear waves, taking into consideration liquid viscosity, inter-phase heat transfer and surface tension. It models also the evolution of nonlinear sound wave propagation in bubbly liquids. Under appropriate assumptions of the coefficients of such equation, in this paper, we prove the well–posedness of the solutions for the Cauchy problem, associated with this equation.
On the solutions for the Kudryashov-Sinelshchikov equation / Coclite, Giuseppe Maria; Di Ruvo, Lorenzo. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 32:4(2025), pp. 65-97. [10.1007/s00030-025-01074-2]
On the solutions for the Kudryashov-Sinelshchikov equation
Coclite, Giuseppe Maria
;
2025
Abstract
The Kudryashov-Sinelshchikov equation models the evolution of the long weakly nonlinear waves, taking into consideration liquid viscosity, inter-phase heat transfer and surface tension. It models also the evolution of nonlinear sound wave propagation in bubbly liquids. Under appropriate assumptions of the coefficients of such equation, in this paper, we prove the well–posedness of the solutions for the Cauchy problem, associated with this equation.| File | Dimensione | Formato | |
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