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Osmosis for non-electrolyte solvents in permeable periodic porous media
(Peer reviewed, 2016-08)
The paper gives a rigorous description, based on mathematical homogenization theory, for flows of solvents with not charged solute particles under osmotic pressure for periodic porous media permeable for solute particles. ...
Singularly perturbed spectral problems with Neumann boundary conditions
(Peer reviewed, 2015-09-07)
The paper deals with the Neumann spectral problem for a singularly perturbed second-order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the ...
Asymptotics of a spectral-sieve problem
(Peer reviewed, 2015-11-18)
In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation ...
Homogenization of random Navier–Stokes-type system for electrorheological fluid
(Peer reviewed, 2015-11-19)
The paper deals with homogenization of Navier–Stokes-type system describing electrorheological fluid with random characteristics. Under non-standard growth conditions we construct the homogenized model and prove the ...