Vortex theory for two dimensional Boussinesq equations

DOI10.2478/amns.2020.2.00014OpenAlexW3042059356MaRDI QIDQ2690754

Morteza Sharifi, Behruz Raesi

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00014

zbMATH Keywords

Boussinesq equationvortexHermite functionmulti convective equationsingle center vortex

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Viscous vortex flows (76D17) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Strong solutions to PDEs (35D35)

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Cites Work

• Unnamed Item
• Vortex pairs and dipoles
• A multi-moment vortex method for 2D viscous fluids
• The 2D Boussinesq equations with logarithmically supercritical velocities
• Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
• Interaction of vortices in weakly viscous planar flows
• Mathematical theory of incompressible nonviscous fluids
• Global well-posedness of the viscous Boussinesq equations
• Global solutions of two-dimensional Navier-Stokes and Euler equations
• Phase Transition Dynamics
• Generalized Helmholtz–Kirchhoff Model for Two-Dimensional Distributed Vortex Motion
• Hydrodynamic Stability
• Rapid relaxation of an axisymmetric vortex
• Vortex Dynamics
• Motion and Decay of a Vortex in a Nonuniform Stream
• The \(N\)-vortex problem. Analytical techniques