Results 61 to 70 of about 160 (121)

Suppression of blow-up in Patlak–Keller–Segel–Navier–Stokes system via the Couette flow in whole space

open access: yesAdvances in Nonlinear Analysis
This paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
doaj   +1 more source

Kalman filter based on a fractional discrete-time stochastic augmented CoVid-19 model

open access: yesJournal of Biosafety and Biosecurity
In this paper, we study the dynamics of the CoVid-19 outbreak in Semarang, Indonesia, using a fractional CoVid-19 model. We first determine the effects of the isolation rate ∊ and infection rate β on the reproduction number R0 and infected number V.
Mohammad Ghani, Dwi Rantini, Maryamah
doaj   +1 more source

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

open access: yesAdvanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua   +4 more
doaj   +1 more source

Qualitative properties of two-end solutions to the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$

open access: yesAdvanced Nonlinear Studies
A solution of the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ is called a two-end solution if its nodal set is asymptotic to (x′,z)∈R3:z=ki⁡ln|x′|+ci,1≤i≤2 $\left\{\left({x}^{\prime },z\right)\in {\mathbb{R}}^{3}:z={k}_{i}\mathrm{ln}\vert {x}^{\prime }\
Liang Weizhao, Yang Jianmin
doaj   +1 more source

Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source

Phase transitions in porous media. [PDF]

open access: yesNonlinear Differ Equ Appl, 2022
Gavioli C, Krejčí P.
europepmc   +1 more source

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