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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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Resonance and quasilinear ellipticity [PDF]
Transactions of the American Mathematical Society, 1986 Two resonance-type existence theorems for periodic solutions of second order quasilinear elliptic partial differential equations are established. The first theorem is a best possible result, and the second theorem presents conditions which are both necessary and sufficient.
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Rocky Mountain Journal of Mathematics, 1997 The authors consider the Dirichlet problem for the quasilinear system \[ -\Delta_p u = F_u(u,v), \quad\Delta_q v = F_v(u,v), \quad \text{in} \Omega, \qquad u = v = 0, \quad \text{on} \partial \Omega, \tag{P} \] on a given bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary, where \(N>2 ...
Peral, I., Vorst, R.C.A.M. van der
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Stability and instability of the quasilinear Gross-Pitaevskii dark solitons*** [PDF]
ESAIM: Proceedings and SurveysWe study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons indexed by their speed. Neglecting the quasilinear term, one recovers the Gross-
Le Quiniou Erwan
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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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Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
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Wave–particle interactions in tokamaks
Nuclear FusionTransport consequences of the wave–particle interactions in the quasilinear plateau (QP) regime are presented. Eulerian approach is adopted to solve the drift kinetic equation that includes the physics of the nonlinear trapping (NT) and QP regimes.
K.C. Shaing +3 more
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CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
Ural Mathematical Journal, 2023 This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
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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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