Results 21 to 30 of about 23,022 (259)
The Nontraditional Coriolis Terms and Tropical Convective Clouds
Journal of the Atmospheric Sciences, 2020 AbstractThe full, three-dimensional Coriolis force includes the familiar sine-of-latitude terms as well as frequently dropped cosine-of-latitude terms [nontraditional Coriolis terms (NCT)]. The latter are often ignored because they couple the zonal and vertical momentum equations that in the large-scale limit of weak vertical velocity are considered ...
Igel, Matthew R, Biello, Joseph A
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Fujita type theorem for a class of coupled quasilinear convection–diffusion equations
Boundary Value Problems, 2021 In this paper, we establish the Fujita type theorem for a homogeneous Neumann outer problem of the coupled quasilinear convection–diffusion equations and formulate the critical Fujita exponent. Besides, the influence of diffusion term, reaction term, and
Yanan Zhou, Yan Leng, Yuanyuan Nie
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On the solvability conditions for the diffusion equation with convection terms
Communications on Pure and Applied Analysis, 2012 Linear second order elliptic equation describing heat or mass di®usion and convection on a given velocity ¯eld is considered in R3. The corresponding operator L may not satisfy the Fredholm property. In this case, solvability conditions for the equation Lu = f are not known.
Volpert, Vitaly, Vougalter, Vitali
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Non-Hydrostatic RegCM4 (RegCM4-NH): model description and case studies over multiple domains [PDF]
Geoscientific Model Development, 2021 We describe the development of a non-hydrostatic version of the regional climate model RegCM4, called RegCM4-NH, for use at convection-permitting resolutions. The non-hydrostatic dynamical core of the Mesoscale Model MM5 is introduced in the RegCM4, with
E. Coppola +8 more
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The Stability of the Solutions for a Porous Medium Equation with a Convection Term [PDF]
Discrete Dynamics in Nature and Society, 2018 This paper studies the initial-boundary value problem of a porous medium equation with a convection term. If the equation is degenerate on the boundary, then only a partial boundary condition is needed generally. The existence of the weak solution is proved by the monotone convergent method.
Huashui Zhan, Miao Ouyang
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MathematicsThis paper deals with the existence of bounded and locally Hölder continuous weak solutions of the following nonlinear fourth-order Dirichlet problem: ∑|α|=1,2(−1)|α|DαAα(x,u,D1u,D2u)−Eα(x) |u|λ(pα−1) signu=f in Ω, where the coefficients Aα satisfy a ...
Salvatore D’Asero
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暴雨灾害, 2020 Based on data of FY-3 satellite microwave hygrometer and conventional observation, microwave observational characteristics of convective clouds during a heavy precipitation event from Giuzhou to Hubei province in 2016 were analyzed. The results show that
Pingping ZHANG +3 more
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Elliptic Problems with Superlinear Convection Terms
Journal of Differential EquationsIn this manuscript we deal with elliptic equations with superlinear first order terms in divergence form of the following type \[ -\mbox{div}(M(x)\nabla u)= -\mbox{div}(h(u)E(x))+f(x), \] where $M$ is a bounded elliptic matrix, the vector field $E$ and the function $f$ belong to suitable Lebesgue spaces, and the function $s\to h(s)$ features a ...
Boccardo, Lucio +2 more
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Short-Term Prediction of Electricity Outages Caused by Convective Storms [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2019 Prediction of power outages caused by convective storms which are highly localised in space and time is of crucial importance to power grid operators. We propose a new machine learning approach to predict the damage caused by storms. This approach hinges identifying and tracking of storm cells using weather radar images on the application of machine ...
Karjalainen, Joonas +3 more
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