Variational inequalities and optimal control problems. Mathematical hydrodynamics.
Main publications:
Subdifferentsialnye kraevye zadachi dlya statsionarnykh urvnenii Nave–Stoksa // Differentsialnye uravneniya. 1992. t. 28. # 8. S. 1443–1450.
Normalnye resheniya kraevykh zadach dlya statsionarnykh sistem Nave–Stoksa // Sibirskii matematicheskii zhurnal. 1995. T. 36. # 4. S. 934–942.
Statsionarnye variatsionnye neravenstva v modeli neodnorodnoi neszhimaemoi zhidkosti // Sibirskii matematicheskii zhurnal. 1997. T. 38. # 5. S. 1184–1193.