scholarly journals Corrigendum to “Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate” [J. Differential Equations (2020) 1379–1411]

2020 ◽  
Vol 269 (7) ◽  
pp. 6359-6363
Author(s):  
Yanni Zeng ◽  
Kun Zhao
Keyword(s):  
Differential Equations ◽  
Consumption Rate ◽  
Decay Rates ◽  
Logistic Growth ◽  
Chemotaxis Model ◽  
Density Dependent ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Logarithmic Sensitivity

scholarly journals Recent results for the logarithmic Keller-Segel-Fisher/KPP System

2019 ◽  
Vol 38 (7) ◽  
pp. 37-48
Author(s):  
Yanni Zeng ◽  
Kun Zhao
Keyword(s):  
Ground State ◽  
Decay Rates ◽  
Optimal Time ◽  
Logistic Growth ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Chemotaxis Model ◽  
Time Decay Rates ◽  
Long Time ◽  
Logarithmic Sensitivity

We consider a Keller-Segel type chemotaxis model with logarithmic sensitivity and logistic growth. It is a 2 by 2 system describing the interaction of cells and a chemical signal. We study Cauchy problem with finite initial data, i.e., without the commonly used smallness assumption on  initial perturbations around a constant ground state. We survey a sequence of recent results by the authors on  the existence of global-in-time solution,  long-time behavior, vanishing coefficient limit and optimal time decay rates of the solution.

scholarly journals A new stability result for a thermoelastic Bresse system with viscoelastic damping

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Soh Edwin Mukiawa ◽  
Cyril Dennis Enyi ◽  
Tijani Abdulaziz Apalara
Keyword(s):  
Stability Result ◽  
Bending Moment ◽  
Decay Rates ◽  
Viscoelastic Damping ◽  
Physical Parameters ◽  
Bresse System ◽  
Solution Energy ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Weaker Conditions

AbstractWe investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.

scholarly journals Optimal decay rates for the stabilization of a string network

2014 ◽  
Vol 352 (6) ◽  
pp. 491-495 ◽  
Author(s):  
Mohamed Jellouli ◽  
Michel Mehrenberger
Keyword(s):  
Decay Rates ◽  
Optimal Decay Rates ◽  
Optimal Decay
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