Results 71 to 80 of about 13,183 (198)

Understanding Coherent Turbulence and the Roll‐Cell Transition With Lagrangian Coherent Structures and Frame‐Indifferent Fluxes

open access: yesJournal of Geophysical Research: Atmospheres, Volume 129, Issue 18, 28 September 2024.
Abstract We present the first analysis of frame‐indifferent (objective) fluxes and material vortices in Large Eddy Simulations of atmospheric boundary layer turbulence. We extract rotating fluid features that maintain structural coherence over time for near‐neutral, transitional, and convective boundary layers.
Nikolas Aksamit   +2 more
wiley   +1 more source

Maximum principle for the weak solutions of the Cauchy problem for the fourth‐order hyperbolic equations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.
Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley   +1 more source

Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS

open access: yesMathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.
Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein   +2 more
wiley   +1 more source

A multiplicity result for a class of quasilinear elliptic and parabolic problems

open access: yesElectronic Journal of Differential Equations, 1997
We prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet-periodic boundary conditions.
M. R. Grossinho, Pierpaolo Omari
doaj  

A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions

open access: yesMathematische Nachrichten, Volume 297, Issue 5, Page 1581-1600, May 2024.
Abstract We develop a conformal duality for space‐like graphs in Riemannian and Lorentzian three‐manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are the integral curves of a Killing vector field, which is time‐like in the Lorentzian case.
Andrea Del Prete   +2 more
wiley   +1 more source

Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms

open access: yesAdvances in Difference Equations, 2010
We consider the quasilinear parabolic equation with inhomogeneous term , , where , , , , and , . In this paper, we investigate the critical exponents of this equation.
Kobayashi Yasumaro
doaj   +2 more sources

Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory

open access: yesElectronic Journal of Differential Equations, 1996
initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model.
Georg Hetzer
doaj  

High-Order Difference Scheme for Time-Fractional Quasilinear Parabolic Equations

open access: yesMathematics
Mathematical modeling of heat and mass transfer processes in porous media using fractional derivative equations is of great practical importance. Within the framework of such models, obtaining analytical solutions to the corresponding initial–boundary ...
Miglena N. Koleva, Lubin G. Vulkov
doaj   +1 more source

Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition

open access: yesElectronic Journal of Differential Equations, 2016
We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
doaj  

NUMERICAL ANALYSIS OF THE LEVERETT FUNCTION FORM INFLUENCE FOR THE RAPPOPORT - LEAS EQUATION SOLUTIONS

open access: yesИзвестия высших учебных заведений: Нефть и газ, 2018
The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined
I. G. Telegin, O. B. Bocharov
doaj   +1 more source

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