The Improved Abstract Boussinesq Equations and Application

Shakhmurov V. B., Shahmurov R.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.18, no.6, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.1007/s00009-021-01874-7
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, the existence, uniqueness and L-p-regularity properties of solutions of initial value problem for improved abstract Boussinesq equation is obtained. The equation includes a linear operator A in a Banach space E. We can obtain the existence, uniqueness and qualitative properties a different classes improved Boussinesq equations by choosing the space E and linear operator A, which occur in a wide variety of physical systems. By applying this result, initial value problem for nonlocal Boussinesq equations and mixed problem for degenerate Boussinesq equations are studied.