Helically symmetric equilibria for some ideal and resistive MHD plasmas with incompressible flows
DOI10.1007/s11766-023-3848-zzbMath1524.35431OpenAlexW4381730615MaRDI QIDQ6109253
S. M. Moawad, O. H. EL-Kalaawy, H. M. Shaker
Publication date: 27 July 2023
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-023-3848-z
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Foundations of fluid mechanics (76A02) Maxwell equations (35Q61) Boltzmann equations (35Q20)
Cites Work
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- Resonant behavior of multiple wave solutions to a Hirota bilinear equation
- Exact magnetohydrodynamic equilibria with flow and effects on the Shafranov shift
- Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
- Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
- Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior
- Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation
- Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction
- Exact solutions of the Grad-Shafranov equation via similarity reduction and applications to magnetically confined plasmas
- The equilibrium and stability of rotating plasmas
- New similarity reductions of the Boussinesq equation
- Laminar flow in twisted pipes
- The stability of steady, helical vortex filaments in a tube
- The velocity field induced by a helical vortex tube
- Magnetohydrodynamic ‘cat eyes’ and stabilizing effects of plasma flow
- The Dean equations extended to a helical pipe flow
- Axially invariant laminar flow in helical pipes with a finite pitch
- Steady flow in a helically symmetric pipe
- Unsteady blood flow in a helically symmetric pipe
- Accumulation of heavy particles around a helical vortex filament
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