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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 31
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 31, Issue 4, December 2016
  4. Boundedness in a chemotaxis system with nonlinear signal production
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 31, Issue 4, December 2016
Boundedness in a chemotaxis system with nonlinear signal production
Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain
A generalization of the half-normal distribution
Asymptotic properties and expectation-maximization algorithm for maximum likelihood estimates of the parameters from Weibull-Logarithmic model
Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications
Generalized Grötzsch ring function and generalized elliptic integrals
Boundary value problems for two types of degenerate elliptic systems in R $^{4}$
Gradient estimates for porous medium equations under the Ricci flow
A study on distributive and modular lattice ordered fuzzy soft group and its duality
Applied Mathematics-A Journal of Chinese Universities : Volume 31, Issue 3, September 2016
Applied Mathematics-A Journal of Chinese Universities : Volume 31, Issue 2, June 2016
Applied Mathematics-A Journal of Chinese Universities : Volume 31, Issue 1, March 2016
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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Boundedness in a chemotaxis system with nonlinear signal production

Content Provider Springer Nature Link
Author Liu, Dong mei Tao, You shan
Copyright Year 2016
Abstract This work deals with the zero-Neumann boundary problem to a fully parabolic chemotaxis system with a nonlinear signal production function f(s) fulfilling 0 ≤ f(s) ≤ Ks $^{ α }$ for all s ≥ 0, where K and α are positive parameters. It is shown that whenever 0 < α < $$\frac{2}{n}$$ (where n denotes the spatial dimension) and under suitable assumptions on the initial data, this problem admits a unique global classical solution that is uniformly-in-time bounded in any spatial dimension. The proof is based on some a priori estimate techniques.
Starting Page 379
Ending Page 388
Page Count 10
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 31
Issue Number 4
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Publisher Date 2016-12-06
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Keller-Segel model nonlinear signal production prevention of blow-up Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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