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Adsorptive removal of Cr (VI) by Fe-modified activated carbon prepared from Trapa natans husk
Fe-modified activated carbon (THAC-Fe) was developed from a low-cost aquatic plant residue, Trapa natans husk, and tested for its ability to remove Cr (VI) from aqueous solutions. The surfaceExpand
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Multiplicity results for some second-order four-point boundary-value problems
Abstract In this paper, by using a fixed point theorem of functional type in a cone, some new results for the multiplicity of positive solutions of second-order four-point boundary-value problems areExpand
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Boundedness in the higher-dimensional chemotaxis–haptotaxis model with nonlinear diffusion
We consider the chemotaxis–haptotaxis model {ut=∇⋅(D(u)∇u)−χ∇⋅(u∇v)−ξ∇⋅(u∇w)+μu(1−u−w),x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0,wt=−vw,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rn (n≥2), where χ, ξ and μ are positiveExpand
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The method of lower and upper solutions for some fourth-order equations.
In this paper, by combining a new maximum principle of fourth-order equations with the theory of eigenline problems, we develop a monotone method in the presence of lower and upper solutions for someExpand
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Large time behavior of solution to a fully parabolic chemotaxis–haptotaxis model in higher dimensions
Abstract This paper deals with the chemotaxis–haptotaxis model of cancer invasion { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) − ξ ∇ ⋅ ( u ∇ w ) + u ( 1 − μ u − w ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t >Expand
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Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system involving a tensor-valued sensitivity with saturation
Abstract This paper is concerned with the following Keller–Segel–Navier–Stokes system (⋆) { n t + u ⋅ ∇ n = Δ n − ∇ ⋅ ( n S ( x , n , c ) ∇ c ) , x ∈ Ω , t > 0 , c t + u ⋅ ∇ c = Δ c − c + n , x ∈ Ω ,Expand
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Travelling waves for a biological reaction diffusion model with spatio-temporal delay☆
In this paper, we consider the reaction diffusion equations with spatio-temporal delay, which models the microbial growth in a flow reactor. Nonlocal spatial term, a weighted average in space, arisesExpand
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Boundedness in a quasilinear fully parabolic Keller–Segel system with logistic source
In this paper, we consider the quasilinear chemotaxis system equation(⋆⋆) {ut=∇⋅(D(u)∇u)−∇⋅(S(u)∇v)+f(u),x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0 in a bounded domain Ω⊂Rn(n≥2) under zero-flux boundaryExpand
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Boundedness and decay property in a three-dimensional Keller–Segel–Stokes system involving tensor-valued sensitivity with saturation
In this paper, we consider the following Keller–Segel–Stokes system {nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)∇c)+ξn−μn2,ct+u⋅∇c=Δc−c+n,ut+∇P=Δu+n∇ϕ,∇⋅u=0 in a bounded domain Ω⊂R3 with smooth boundary, whereExpand
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Global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant
Abstract This paper deals with the cancer invasion model { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) − ξ ∇ ⋅ ( u ∇ w ) + μ u ( 1 − u − w ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t > 0 , w t = − v w + η w (Expand
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