Results 11 to 20 of about 2,643 (218)
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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Weak Turbulence and Quasilinear Diffusion for Relativistic Wave-Particle Interactions Via a Markov Approach [PDF]
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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A Solution Theory for Quasilinear Singular SPDEs [PDF]
Communications on Pure and Applied Mathematics, 2019 AbstractWe give a construction allowing us to build local renormalized solutions to general quasilinear stochastic PDEs within the theory of regularity structures, thus greatly generalizing the recent results of [1, 5, 11]. Loosely speaking, our construction covers quasilinear variants of all classes of equations for which the general construction of ...
Gerencsér, M, Hairer, M
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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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On quasilinear-time complexity theory
Theoretical Computer Science, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashish V. Naik +2 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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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.
Herbert Amann, Amann Herbert
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Quasilinear theory and modelling of gyrokinetic turbulent transport in tokamaks [PDF]
Nuclear FusionThe theory, development, and validation of reduced quasilinear models of gyrokinetic turbulent transport in the closed flux surface core of tokamaks is reviewed.
G. Staebler +3 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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