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Viscosity Solution [PDF]

open access: yes, 2014
Viscosity solution is a notion of weak solution for a class of partial differential equations of Hamilton-Jacobi type. The range of applications of the notions of viscosity solution and Hamilton-Jacobi equations is enormous, including common class of partial differential equations such as evolutive problems and problems with boundary conditions ...
Camilli, Fabio, Prados, Emmanuel
openaire   +3 more sources

Optimal Exploitation of a General Renewable Natural Resource under State and Delay Constraints

open access: yesMathematics, 2020
In this work, we study an optimization problem arising in the management of a natural resource over an infinite time horizon. The resource is assumed to evolve according to a logistic stochastic differential equation.
M’hamed Gaïgi   +2 more
doaj   +1 more source

The Gelfand problem for the 1-homogeneous p-Laplacian

open access: yesAdvances in Nonlinear Analysis, 2017
In this paper, we study the existence of viscosity solutions to the Gelfand problem for the 1-homogeneous p-Laplacian in a bounded domain Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}}, that is, we deal ...
Carmona Tapia José   +2 more
doaj   +1 more source

Perturbation Solutions For Magnetohydrodynamics (Mhd) Flow of in a Non-Newtonian Fluid Between Concentric Cylinders

open access: yesInternational Journal of Applied Mechanics and Engineering, 2019
The steady-state magnetohydrodynamics (MHD) flow of a third-grade fluid with a variable viscosity parameter between concentric cylinders (annular pipe) with heat transfer is examined.
M. Yürüsoy, Ö.F. Güler
doaj   +1 more source

Effect of thickening agents on perceived viscosity and acidity of model beverages

open access: yesCzech Journal of Food Sciences, 2012
The effect of thickening agents - methyl cellulose, hydroxyethyl cellulose, sodium carboxymethyl cellulose, and xanthan gum - solutions on the sensory viscosity was investigated in the concentration range of 0-0.8%.
Zdenka PANOVSKÁ   +2 more
doaj   +1 more source

Existence of Viscosity Solutions for Weakly Coupled Cooperative Parabolic Systems with Fully Nonlinear Principle Part

open access: yesMathematics
In this paper, the existence of viscosity solutions for weakly coupled, degenerate, and cooperative parabolic systems is studied in a bounded domain. In particular, we consider the viscosity solutions of parabolic systems with fully nonlinear degenerated
Georgi Boyadzhiev, Nikolay Kutev
doaj   +1 more source

Upper- and lower-bound solutions for sectional penetration grouting pressure under time-dependent viscosity of slurry

open access: yesYantu gongcheng xuebao, 2023
Under the time-dependent viscosity of slurry, the grouting pressure (p) and the grouting rate (q) are both time-dependent, which makes design and calculation more difficult in grouting project. Firstly, the engineering definitions of grouting pressure (P)
WANG Junhui , HAN Xuan
doaj   +1 more source

Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry.
Jian Huaiyu, Wang Xianduo
doaj   +1 more source

Rheology of polysulfone-N-methylpyrrolidone solutions used in the technology of lithium-ion batteries

open access: yesApplied Rheology, 2020
This paper is devoted to the analysis of the rheological properties of polysulfone solutions in N-methylpyrrolidone, which are an intermediate stage in preparing lithium-ionic batteries.
Kulichikhin V. G.   +3 more
doaj   +1 more source

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