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Hamiltonian formulations of quasilinear theory for magnetized plasmas
Frontiers in Astronomy and Space Sciences, 2022 Hamiltonian formulations of quasilinear theory are presented for the cases of uniform and nonuniform magnetized plasmas. First, the standard quasilinear theory of Kennel and Engelmann (Kennel, Phys. Fluids, 1966, 9, 2377) is reviewed and reinterpreted in
Alain J. Brizard, Anthony A. Chan
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Multiple solutions for a coercive quasilinear elliptic equation via Morse theory
Boundary Value Problems, 2021 We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
Lifang Fu, Mingzheng Sun
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Dynamic theory of quasilinear parabolic systems [PDF]
Mathematische Zeitschrift, 1989 [For part I see Nonlinear Anal., Theory Methods Appl. 12, No.9, 895-919 (1988; Zbl 0666.35043). Part II (to appear).] We consider quasilinear reaction-diffusion systems of the form \[ (*)\quad \partial_ tu-\partial_ j(a_{jk}(x,t,u)\partial_ ku)=f(x,u,\partial u) \] together with natural (nonlinear) boundary conditions, where u is vector valued.
exaly +2 more sources
Quasilinear gyrokinetic theory: a derivation of QuaLiKiz [PDF]
Journal of Plasma Physics, 2021 In order to predict and analyse turbulent transport in tokamaks, it is important to model transport that arises from microinstabilities. For this task, quasilinear codes have been developed that seek to calculate particle, angular momentum and heat fluxes, both quickly and accurately.
C.D. Stephens +5 more
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Comparison of Saturation Rules Used for Gyrokinetic Quasilinear Transport Modeling
Plasma, 2023 Theory-based transport modeling has been widely successful and is built on the foundations of quasilinear theory. Specifically, the quasilinear expression of the flux can be used in combination with a saturation rule for the toroidal mode amplitude. Most
Scott E. Parker +4 more
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Frontiers in Astronomy and Space Sciences, 2022 We derive weak turbulence and quasilinear models for relativistic charged particle dynamics in pitch-angle and energy space, due to interactions with electromagnetic waves propagating (anti-)parallel to a uniform background magnetic field.
Oliver Allanson +5 more
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Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
Mathematics, 2023 We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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Expanding-box Quasilinear Model of the Solar Wind
The Astrophysical Journal, 2023 The expanding-box model of the solar wind has been adopted in the literature within the context of magnetohydrodynamics, hybrid, and full particle-in-cell simulations to investigate the dynamic evolution of the solar wind.
J. Seough +3 more
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Frontiers in Physics, 2021 Turbulence in space plasmas usually exhibits two regimes separated by a spectral break that divides the so called inertial and kinetic ranges. Large scale magnetic fluctuations are dominated by non-linear MHD wave-wave interactions following a −5/3 or −2
Pablo S. Moya, Roberto E. Navarro
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Boundary Value Problems, 2020 In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this ...
Ziqing Yuan
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