Results 1 to 10 of about 819 (86)

The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere

open access: yesJournal of Mathematical Inequalities, 2021
. In this paper, we show the applications of some basic mathematical inequalities in partial differential equations. By using the differential inequality technique, the convergence of the primitive equations of moist atmosphere is obtained Mathematics ...
Yuan ei Li, Xiao Sh ngzhong, Zeng Peng
semanticscholar   +1 more source

Data smoothing with applications to edge detection

open access: yesOpen Mathematics, 2022
The aim of this paper is to present a new stable method for smoothing and differentiating noisy data defined on a bounded domain Ω⊂RN\Omega \subset {{\mathbb{R}}}^{N} with N≥1N\ge 1.
Al-Jamal Mohammad F.   +2 more
doaj   +1 more source

On the extinction problem for a p-Laplacian equation with a nonlinear gradient source

open access: yesOpen Mathematics, 2021
We deal with the extinction properties of the weak solutions for a p-Laplacian equation with a gradient nonlinearity. The critical extinction exponent is specified and the decay estimates of the extinction solutions are given.
Liu Dengming, Yu Miaojun
doaj   +1 more source

Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an ...
Wang Xingchang, Xu Runzhang
doaj   +1 more source

On Cauchy problem for fractional parabolic-elliptic Keller-Segel model

open access: yesAdvances in Nonlinear Analysis, 2022
In this paper, we concern about a modified version of the Keller-Segel model. The Keller-Segel is a system of partial differential equations used for modeling Chemotaxis in which chemical substances impact the movement of mobile species.
Nguyen Anh Tuan   +2 more
doaj   +1 more source

Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
doaj   +1 more source

About Dirichlet boundary value problem for the heat equation in the infinite angular domain

open access: yesBoundary Value Problems, 2014
In this paper it is established that in an infinite angular domain for Dirichlet problem of the heat conduction equation the unique (up to a constant factor) non-trivial solution exists, which does not belong to the class of summable functions with the ...
Muvasharkhan he Jenaliyev   +3 more
semanticscholar   +2 more sources

Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
doaj   +1 more source

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Parabolic equations with the second order Cauchy conditions on the boundary [PDF]

open access: yes, 2007
The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with homogenuous Cauchy condition at initial time and with the second order Cauchy condition on the boundary of the semi-plane.
Duren P, Nikolai Dokuchaev, Tikhonov A N
core   +2 more sources

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