Results 41 to 50 of about 7,472,397 (345)

Growth of solutions with L^2(p+2)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms

AIMS Mathematics, 2022
In this work, we consider a coupled nonlinear viscoelastic Kirchhoff equations with degenerate damping, dispersion and source terms. Under suitable hypothesis, we will prove that when the initial data are large enough (in the energy point of view), the ...
Abdelbaki Choucha, Muajebah Hidan , Bahri Cherif, Sahar Ahmed Idris   +3 more
doaj   +1 more source

Noise expresses exponential growth under regime switching [PDF]

, 2009
Consider a given system under regime switching whose solution grows at most polynomially, and suppose that the system is subject to environmental noise in some regimes. Can the regime switching and the environmental noise work together to make the system
Appleby, Appleby, Arnold, Bahar, Bellman, Caraballo, Deng, Guangda Hu, Hasminskii, Jiang, Kushner, Mao, Mao, Mao, Mao, Meerkov, Minghui Song, Mingzhu Liu, Scheutzow, Skorohod, Xuerong Mao, Zhabko   +21 more
core   +1 more source

Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

Advances in Nonlinear Analysis, 2013
The goal of this work is to study a model of the wave equation with dynamic boundary conditions and a viscoelastic term. First, applying the Faedo–Galerkin method combined with the fixed point theorem, we show the existence and uniqueness of a local in ...
Gerbi Stéphane, Said-Houari Belkacem
doaj   +1 more source

Global pleiotropic effects in adaptively evolved Escherichia coli lacking CRP reveal molecular mechanisms that define the growth physiology

Open Biology, 2022
Evolution facilitates emergence of fitter phenotypes by efficient allocation of cellular resources in conjunction with beneficial mutations. However, system-wide pleiotropic effects that redress the perturbations to the apex node of the transcriptional ...
Ankita Pal, Mahesh S. Iyer, Sumana Srinivasan, Aswin Sai Narain Seshasayee, K. V. Venkatesh   +4 more
doaj   +1 more source

Cancer cell population growth kinetics at low densities deviate from the exponential growth model and suggest an Allee effect

bioRxiv, 2019
Models of cancer cell population expansion assume exponential growth kinetics at low cell densities, with deviations from exponential growth only at higher densities due to limited resources such as space and nutrients.
Kaitlyn E. Johnson, Grant Howard, W. Mo, Michael K. Strasser, E. Lima, Sui Huang, A. Brock   +6 more
semanticscholar   +1 more source

Growth of quotients of groups acting by isometries on Gromov hyperbolic spaces [PDF]

, 2012
We show that every non-elementary group $G$ acting properly and cocompactly by isometries on a proper geodesic Gromov hyperbolic space $X$ is growth tight. In other words, the exponential growth rate of $G$ for the geometric (pseudo)-distance induced by $
Sabourau, Stephane
core   +3 more sources

A General Description of Growth Trends

Stats, 2022
Time series that display periodicity can be described with a Fourier expansion. In a similar vein, a recently developed formalism enables the description of growth patterns with the optimal number of parameters.
Moshe Elitzur
doaj   +1 more source

A SEIRD Model for Control of COVID-19: Case of Azerbaijan [PDF]

SHS Web of Conferences, 2021
Research background: The study uses the key parameters of the spread of the epidemic, dividing the population into several groups S - susceptible, E - exposed, I - infectious, R - recovered, D - dead.
Aliyeva Tarana, Rzayeva Ulviyya, Azizova Reyhan   +2 more
doaj   +1 more source

Exponential Growth of Solutions for Nonlinear Coupled Viscoelastic Wave Equations

Universal Journal of Mathematics and Applications, 2019
In this work, we consider an initial-boundary value problem related to the nonlinear coupled viscoelastic equations \[ \left\{ \begin{array}{c} \left\vert u_{t}\right\vert ^{j}u_{tt}-\Delta u_{tt}-div\left( \left\vert \nabla u\right\vert ^{\alpha -2 ...
Şeyhmus Altındağ, Erhan Pişkin
doaj   +1 more source

Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation

Advanced Nonlinear Studies, 2019
In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
doaj   +1 more source