The Kawahara–Korteweg–de Vries-type equation occurs in the modelization of magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long-wavelength region as in the case of Korteweg–de Vries equation. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with this equation.
Well-posedness of the classical solutions for a Kawahara–Korteweg–de Vries-type equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 21:1(2021), pp. 625-651. [10.1007/s00028-020-00594-x]
Well-posedness of the classical solutions for a Kawahara–Korteweg–de Vries-type equation
Giuseppe Maria Coclite;
2021
Abstract
The Kawahara–Korteweg–de Vries-type equation occurs in the modelization of magneto-acoustic waves in plasmas and propagation of nonlinear water waves in the long-wavelength region as in the case of Korteweg–de Vries equation. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with this equation.File in questo prodotto:
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