We consider quasilinear optimal control problems involving a thick two-level junction
which consists of the junction body
and a large number of thin cylinders with the cross-section of order 𝒪(
). The thin cylinders are divided into two levels depending on the geometrical characteristics, the quasilinear boundary conditions and controls given on their lateral surfaces and bases respectively. In addition, the quasilinear boundary conditions...
We consider quasilinear optimal control problems involving a thick two-level junction
which consists of the junction body
and a large number of thin cylinders with the
cross-section of order 𝒪(
). The thin cylinders
are divided into two levels depending on the geometrical characteristics, the quasilinear
boundary conditions and controls given on their lateral surfaces and bases respectively.
...
A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis, the asymptotic approximation for the solution is constructed and justified as the parameter ε → 0. Namely, we derive the limit problem (ε = 0) in the corresponding graph, define other terms of the asymptotic approximation and prove energetic and...
We consider quasilinear optimal control problems involving a thick two-level junction
which consists of the junction body
and a large number of thin cylinders with the
cross-section of order 𝒪(
). The thin cylinders
are divided into two levels depending on the geometrical characteristics, the quasilinear
boundary conditions and controls given on their lateral surfaces and bases respectively.
...
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