On connection between the order of a stationary one-dimensional dispersive equation and the growth of its convective term

Author:

Larkin Nikolai Andreevitch1ORCID,Luchesi Jackson2ORCID

Affiliation:

1. Universidade Estadual de Maringá

2. Universidade Tecnológica Federal do Paraná

Abstract

A boundary value problem for a stationary nonlinear dispersive equation of 2l+1 order with a convective term in the form u^ku_x, k\in N was considered on an interval (0,L). The existence, uniqueness and continuous dependence  of a regular solution as well as a relation between the order l and critical values of k of the equation have been established.

Funder

Fundação Araucária

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference37 articles.

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