Theory and applications of partial differential equations

Theory and applications of partial differential equations

Adrian Constantin (ORCID: 0000-0001-8868-9305)

Disciplines

Mathematics (75%); Physics, Astronomy (25%)

Keywords

    Partial differential equations, Partial differential equations, Water waves, Physical oceanography, Atmospheric sciences

Abstract

The aim of this project is the pursuit of theoretical studies of geophysical flows (currents and waves), mainly in the atmosphere but also in the Earths oceans, due to the importance of the atmosphere-ocean interactions for the climate. Nonlinear aspects are at the core. Other than currents and waves in the Earths atmosphere, phenomena in our solar will be investigated (e.g., vortices in the atmospheres of Jupiter, Saturn, Uranus and Neptune).
Research institution(s)

Research Output

  • 13 Citations
  • 2 Publications
Publications
  • 2023
    Title Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves
    DOI 10.1007/s00021-023-00842-3
    Type Journal Article
    Author Henry D
    Journal Journal of Mathematical Fluid Mechanics
    Pages 6
    Link Publication
  • 2025
    Title Complex structure of time-periodic solutions decoded in Poincaré–Lindstedt series: The cubic conformal wave equation on S 3
    DOI 10.1016/j.physd.2025.134864
    Type Journal Article
    Author Ficek F
    Journal Physica D: Nonlinear Phenomena
    Pages 134864
    Link Publication