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boundedness
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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
,
M.Sc. Thesis
Sharif University of Technology
;
Hesaaraki, Mahmoud
(Supervisor)
Abstract
We Consider the Chemotaxi Systems in a smooth bounded domain as follow:{ █(ut = Δu-χ∇.(u∇v)+ f (u) x ϵ Ω ,t>0 @ @τ vt =Δv-v+u x ϵ Ω ,t>0)┤ Where χ∈ and f(u) =Au - Buα generalizes the logistic function with A≥0, B>0 and α>1. First for τ=0, global existence of such solutions for any nonnegative initial data is proved under the assumption that . Moreover, boundedness properties of the constructed solutions are studied. Next we assume that 2=α, τ>0 and we consider nonnegative solutions of the Neumann
Boundary value problem for the chemotaxis system above in a smooth bounded convex domain . We will see that if B is sufficiently large then for all sufficiently smooth initial data the...
Boundary value problem for the chemotaxis system above in a smooth bounded convex domain . We will see that if B is sufficiently large then for all sufficiently smooth initial data the...
Experimental and Numerical Investigation of Laminated Elastomeric Bearings Used as Seismic Base Isolator Considering Long Term Loading Effects
, Ph.D. Dissertation Sharif University of Technology ; Khaloo, Alireza (Supervisor)
Abstract
Eliminating the tensile stresses and providing a cost-effective isolation system, has made the unbounded isolators an attractive option. Following this idea and the results obtained by various researchers, it is shown that unbounded steel-reinforced elastomeric bearings (SREBs), which are used and designed for service limit state, have inherently acceptable characteristics for a cost-effective isolation system and can provide improved structural performance. However, this inherent capacity is neglected in the design process.The current research presents an experimental program to analyze the mechanical properties of steel-reinforced natural rubber bearings without the upper and lower...