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Transverse quasilinear relaxation in inhomogeneous magnetic field [PDF]
, 1998 Transverse quasilinear relaxation of the cyclotron-Cherenkov instability in the inhomogeneous magnetic field of pulsar magnetospheres is considered. We find quasilinear states in which the kinetic cyclotron-Cherenkov instability of a beam propagating ...
A. Z. Kazbegi +9 more
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Quasilinearization method and WKB [PDF]
Computer Physics Communications, 2006 Solutions obtained by the quasilinearization method (QLM) are compared with the WKB solutions. While the WKB method generates an expansion in powers of h, the quasilinearization method (QLM) approaches the solution of the nonlinear equation obtained by casting the Schroedinger equation into the Riccati form by approximating nonlinear terms by a ...
Krivec, R., Mandelzweig, V. B.
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Notes on the Solutions of the First Order Quasilinear Differential Equations
Ratio Mathematica, 2018 The system of the quasilinear differential first order equations with the antisymetric matrix and the same element f (t,x(t)) on the main diagonal have the property that r'(t) = f (t,x(t))r(t), where r(t) ≥ 0 is the po- lar function of the system.
Alena Vagaská, Dusan Mamrilla
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Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term [PDF]
, 2015 In this paper we consider the problem u in H^1_0 (Omega), - div (A(x) Du) = H(x, u, Du) + f(x) + a_0 (x) u in D'(Omega), where Omega is an open bounded set of R^N, N \geq 3, A(x) is a coercive matrix with coefficients in L^\infty(Omega), H(x, s, xi) is a
Hamour, Boussad, Murat, François
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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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Nonlinear parallel momentum transport in strong turbulence
, 2015 Most existing theoretical studies of momentum transport focus on calculating the Reynolds stress based on quasilinear theory, without considering the \emph{nonlinear} momentum flux-$$.
Diamond, P. H., Wang, Lu, Wen, Tiliang
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Ground state solutions for a quasilinear Kirchhoff type equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the ground state solutions of the following quasilinear Kirchhoff type equation \[ -\left(1+b\int_{\mathbb{R}^{3}}|\nabla u|^2dx\right)\Delta u + V(x)u-[\Delta(u^2)]u=|u|^{10}u+\mu |u|^{p-1}u,\qquad x\in \mathbb{R}^3, \] where $b\geq 0$ and $\mu$
Hongliang Liu, Haibo Chen, Qizhen Xiao
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Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity
Analysis in Theory and Applications, 2021 The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearitywhere $\Omega\subset\mathbb{R}^N$ is a bounded domain with smooth boundary, and we useThe main interest of this paper is for the case of bounded ...
Liu, Jiaquan +2 more
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The quasilinear Schrödinger–Poisson system
Journal of Mathematical Physics, 2023 This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem. The variational framework of the quasilinear system is built, and nontrivial solutions of the system are obtained via the ...
Yao Du, Jiabao Su, Cong Wang
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The limit of vanishing viscosity for doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon ...
Ales Matas, Jochen Merker
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