Results 21 to 30 of about 2,321 (137)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley +1 more source
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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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 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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The Cost of Convenience: A Hedonic Approach to Travel Time Valuation and Cost‐Benefit Analysis
Journal of Regional Science, EarlyView.ABSTRACT This paper presents a novel revealed‐preference approach to estimating the value of travel time (VTT) and calculating consumer surplus for the economic evaluation of transport infrastructure. Departing from traditional stated‐preference models, we derive time valuations by linking residential rental transactions in Greater Sydney to employment
Isaac Mann, David M. Levinson
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Investigation of Doubly Nonlinear Parabolic Equation
Proceedings of the International Conference on Applied Innovations in ITWe study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov +3 more
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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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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.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
wiley +1 more source