Results 21 to 30 of about 2,303 (168)
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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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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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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A Platinum (II) Polyyne Oligomers Donor for Efficient Ternary Organic Solar Cells
Solar RRL, EarlyView.Platinum (II) polyyne oligomers P5 are used as a donor in a ternary organic solar cell. The average power conversion efficiency of 16% surpasses the international record for [Pt] (II) polyyne oligomers. PC71BM speeds up the rise time for electron transfer and slows down the recombination time.
Abdel Aziz Wayzani +10 more
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Neoclassical toroidal plasma viscosity in bounce-transit and drift resonance regimes in tokamaks
Nuclear Fusion, 2023 Neoclassical toroidal plasma viscosity in the bounce-transit and drift resonance regimes is calculated using a version of the drift kinetic equation that encompasses the physics of the nonlinear trapping and quasilinear plateau regimes in tokamaks. It is
K.C. Shaing, M. Garcia-Munoz, E. Viezzer
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Frontiers in Physics, 2023 In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li +3 more
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International Journal of Cosmetic Science, EarlyView.This study models real‐life UVB and UVA exposure across latitudes and seasons using an extended Diffey framework with behavioural corrections. Findings reveal predictable dose patterns and support pragmatic SPF and UVA‐PF caps, offering a quantitative basis for realistic photoprotection and regulatory discussion.
Marc Pissavini
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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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, 2014 Fil: Fernandez Bonder, Julian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A.
Fernandez Bonder, Julian +2 more
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