Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: Keywords: homogenization,
singular structures,
Korn type inequality,
unilateral boundary conditions,
popous media,
oblique derivative,
spectral theory of boundary problems.
Subject:
The homogenization of different boundary problems for elliptic scalar and vector operators (linear and nonlinear) in perforated domains was prooved. Among them there are problems with unilateral boundary condition, problems of porous media theory, elasticity theory problems on singular and thin structures. The well-posedness of hyperbolic boundary problems with oblique derivative was investigated.
Main publications:
Pastukhova S. E. Usrednenie smeshannoi zadachi s usloviem Sinorini dlya ellipticheskogo operatora v perforirovannoi oblasti // Matem. sbornik, 2001, 192, # 2, 87–102.
Pastukhova S. E. Usrednenie nelineinykh zadach teorii uprugosti na singulyarnykh periodicheskikh strukturakh // Doklady RAN, 2002, 382, # 1, 7–11.
Pastukhova S. E. Ob usrednenii variatsionnogo neravenstva dlya uprugogo tela s periodicheski raspolozhennymi treschinami // Matem. sbornik, 2000, 191, # 2, 149–164.
