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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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Transport phenomena in a plasma quasilinear theory
Making use of a recently developed quasi-linear formulation of 1D Vlasov equation, we derive the balance relations for the space-averaged distribution function and spectral power density.
Enos D'Ambrogio
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Presentation1_Hamiltonian formulations of quasilinear theory for magnetized plasmas.pdf
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
Anthony A. Chan (13914012) +1 more
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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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Turbulence in space plasmas usually exhibits an energy cascade in which large-scale magnetic fluctuations are dominated by non-linear MHD wave–wave interactions following a Kolmogorov-like power-law spectrum.
Roberto E. Navarro, Pablo S. Moya
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Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Multiple solutions for a coercive quasilinear elliptic equation via Morse theory
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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Quasilinear Theory of the 2D Euler Equation [PDF]
We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel.
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Dirichlet problem with measurable data for semilinear equations in the plane
The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk goes to the known dissertation of Luzin. His result was formulated in terms of angular limits (along nontangent paths) that are a traditional tool
V.Ya. Gutlyanskiĭ +3 more
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