The search session has expired. Please query the service again.
Displaying 241 –
260 of
402
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting artery is not completely occluded, for which the worst-case in terms of recirculation effects is inferred to correspond to a strong orifice flow through near-complete occlusion.A worst-case optimal control approach is applied to the steady Navier-Stokes...
The paper deals with a boundary control problem for the Maxwell dynamical
system in a bounbed domain
Ω ⊂ R3. Let ΩT ⊂ Ω be the subdomain
filled by waves at the moment T,
T* the moment at which the waves fill the whole
of Ω. The following effect occurs: for small enough
T the system is approximately controllable in ΩT whereas for
larger T < T* a lack of controllability is possible. The subspace of unreachable states
is of finite dimension determined by topological characteristics of ΩT.
The aim of this paper is to study the spectrum of the fourth order eigenvalue boundary value problem
⎧Δ²u = αu + βΔu in Ω,
⎨
⎩u = Δu = 0 on ∂Ω.
where (α,β) ∈ ℝ². We prove the existence of a first nontrivial curve of this spectrum and we give its variational characterization. Moreover we prove some properties of this curve, e.g., continuity, convexity, and asymptotic behavior. As an application, we study the non-resonance of solutions below...
We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic -Laplacian equation. Assuming that such solutions continuously vanish on some distinguished part of the lateral part of a Lipschitz cylinder, we prove Carleson-type estimates, and deduce some consequences under additional assumptions on the equation or the domain. We then prove analogous estimates for non-negative solutions to a class of degenerate/singular...
Integral equations of boundary value problems of the logarithmic potential theory for a plane domain with several peaks at the boundary are studied. We present theorems on the unique solvability and asymptotic representations for solutions near peaks. We also find kernels of the integral operators in a class of functions with a weak power singularity and describe classes of uniqueness.
In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.
Currently displaying 241 –
260 of
402