Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations

DOI10.1007/s10231-018-0750-zzbMath1423.76492OpenAlexW2799560357WikidataQ129912559 ScholiaQ129912559MaRDI QIDQ1756468

Shintaro Kondo

Publication date: 14 January 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-018-0750-z

zbMATH Keywords

drift wave turbulenceHasegawa-Wakatani equationszonal flowSobolev-Slobodetskiĭ spaces

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Initial value problems for second-order parabolic systems (35K45)

Related Items (1)

Existence of a strong solution for the 2D four-field RMHD equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the almost-periodic solution of Hasegawa-Wakatani equations
• An alternative energy bound derivation for a generalized Hasegawa-Mima equation
• On the Hasegawa-Wakatani equations with vanishing resistivity
• On the global well-posedness of the magnetic-curvature-driven plasma equations with random effects in \(\mathbb R^3\)
• Global attractor for Hasegawa-Mima equation
• High-order splitting methods for the incompressible Navier-Stokes equations
• Elliptic partial differential equations of second order
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• Some remarks on a Hasegawa-Mima-Charney-Obukhov equation
• Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model
• Almost-periodic solution of linearized Hasegawa-Wakatani equations with vanishing resistivity
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Almost-periodic solutions to an initial boundary value problem for model equations of resistive drift wave turbulence
• A study of the Hasegawa--Wakatani equations using an implicit explicit backward differentiation formula
• Initial Boundary Value Problem for Model Equations of Resistive Drift Wave Turbulence
• An almost-periodic solution of Hasegawa–Wakatani equations with vanishing resistivity
• The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation
• Dynamical behavior for the three-dimensional generalized Hasegawa-Mima equations
• A collisional drift wave description of plasma edge turbulence
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• An energy estimate for a perturbed Hasegawa-Mima equation
• Accuracy of Spectral and Finite Difference Schemes in 2D Advection Problems
• Existence and uniqueness of global solution of the Hasegawa–Mima equation
• Self-organization of the large-scale planetary and plasma drift vortices

This page was built for publication: Global-in-time existence results for the two-dimensional Hasegawa-Wakatani equations