Maz'ya V.G., Movchan A.B., Nieves M.J. «On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions» Алгебра и анализ, 32, № 3, с. 219-237 (2020)

Formal asymptotic algorithms are considered for a class of meso-scale approximations for problems of vibration of elastic membranes that contain clusters of small inertial inclusions distributed along contours of predefined smooth shapes. Effective transmission conditions have been identified for inertial structured interfaces, and approximations to solutions of eigenvalue problems have been derived for domains containing lower-dimensional clusters of inclusions.

Seregin G. «A note on weak solutions to the Navier–Stokes equations that are locally in L_∞(L_3,∞)» Алгебра и анализ, 32, № 3, с. 238-253 (2020)

The objective of the note is to prove a regularity result for weak solutions to the Navier–Stokes equations that are locally in L_∞(L_3,∞). It reads that, in a sense, the number of singular points at each time is at most finite. This note is inspired by a recent paper of H. J. Choe, J. Wolf, M. Yang.