Sentence examples for concerned with the initial from inspiring English sources
In this paper, we are concerned with the initial boundary value problem to system (1.1).
In this article, we are concerned with the initial boundary value problem of the quasilinear parabolic equation with nonlinear gradient term u t - div ( ∇ u m ∇ u ) + u u β - 2 ∇ u q = u u α - 2 ∇ u p + g ( u ), x ∈ Ω, t > 0, u ( x, 0 ) = u 0 ( x ), x ∈ Ω, u ( x, t ) = 0, x ∈ ∂ Ω, t ≥ 0, (1.1).
"People here are concerned with the initial burden, as we all are". .
As our models are concerned with the initial spread of a treatment, we assume a constant supply of observers.
The process of making of discharge arrangements is concerned with the initial introduction and later routinisation of specific work flows.
We are concerned with the initial-boundary value problem for a p-Laplacian evolution equation with gradient source and absorption terms, u t = div ( | ∇ u | p − 2 ∇ u ) + λ | ∇ u | r − β u q, x ∈ Ω, t > 0, (1.1).
This work is concerned with the Dirichlet initial boundary problem for a semilinear viscoelastic wave system with nonlinear weak damping and source terms.
In the present paper, we are concerned with the first initial boundary value problems for higher hyperbolic equation in a cylinder, whose base containing cuspidal points.
This article is concerned with the following initial-boundary problem of extended Fisher-Kolmogorov equation involving an unknown function u = u x, t): ∂ u ∂ t = - β Δ 2 u + Δ u - u 3 + u i n Ω × ( 0, ∞ ), u = 0, Δ u = 0, i n ∂ Ω × ( 0, ∞ ), u ( x, 0 ) = φ, i n Ω, (1.1).
In this experiment, we were mainly concerned with examining the initial stages of the bolting process and therefore did not continue to monitor the progression of plants to bolting after the experiment was ended.
For two centuries, American courts have taken the view that the constitution is concerned with the government's initial intrusion upon privacy, and not only with the later uses to which the government puts the information it has collected.
