01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
14.07.1950
E-mail:
Keywords:
mappings with bounded distortion,
quasiconformal mappings,
quasiconformal deformations,
stability of mappings classes,
the Navier-Stokes equations.
Subject:
Mathematical analysis, function theory,
equations with partial derivatives.
Main publications:
Semenov V. I., “About one-parameter groups
of quasiconformal homeomorphisms in Euclidean spaces”, Sib. Mat. Zh., 17:1 (1976), 177–193
Semenov V. I., “One estimate in stability theorem
about conformal mappings of a disc”, Sib. Mat. Zh., 27:2 (1986), 176–181
Semenov V. I., “Stability estimates for spatial
quasiconformal mappings of starlike domain”, Sib. Mat. Zh., 28:6 (1987), 102–118
Semenov V. I., “Estimates of topological index of mappings with a summaable Jacobian”, Trydy Analis i Geometriya, Izd-vo Instituta Matematiki, Novosibirsk, 2000, 505–513
Semenov V. I., On smooth property of solutions of the Navier–Stokes equations in nonlinear nonstationar the Cauchy problem in space, Preprint, Kuzbassvuzizdat, Kemerovo, 2007, 40 pp.
V. I. Semenov, “The linear topological quasiconformality coefficient and sufficient conditions for the branch points of mappings”, Sibirsk. Mat. Zh., 42:6 (2001), 1391–1401; Siberian Math. J., 42:6 (2001), 1156–1164
2.
V. I. Semenov, “The covering radius of a mapping and the multiplicity of a covering”, Sibirsk. Mat. Zh., 42:1 (2001), 196–201; Siberian Math. J., 42:1 (2001), 176–180
V. I. Semenov, “An integral condition for the local homeomorphism of mappings with generalized derivatives”, Sibirsk. Mat. Zh., 40:6 (1999), 1339–1346; Siberian Math. J., 40:6 (1999), 1134–1141
V. I. Semenov, “A condition for the boundedness of the topological index of a mapping as a quasiconformality condition”, Sibirsk. Mat. Zh., 40:4 (1999), 938–946; Siberian Math. J., 40:4 (1999), 793–800
1995
5.
V. I. Semenov, “Local homeomorphy of some mappings with bounded distortion and quasiconformality coefficient less than two”, Sibirsk. Mat. Zh., 36:2 (1995), 404–408; Siberian Math. J., 36:2 (1995), 354–358
V. I. Semenov, “Estimates of stability, distortion theorems, and topological properties of quasiregular mappings”, Mat. Zametki, 51:5 (1992), 109–113; Math. Notes, 51:5 (1992), 497–500
V. I. Semenov, “An extension principle for quasiconformal deformations of the plane”, Mat. Sb., 183:9 (1992), 147–159; Russian Acad. Sci. Sb. Math., 77:1 (1994), 127–137
8.
V. I. Semenov, “Quasiconformal deformation of a ball”, Sibirsk. Mat. Zh., 33:1 (1992), 115–131; Siberian Math. J., 33:1 (1992), 95–110
1990
9.
V. I. Semenov, “On the Saint-Venant conditions for quasiconformal deformations”, Mat. Sb., 181:2 (1990), 269–278; Math. USSR-Sb., 69:1 (1991), 285–297
10.
V. I. Semenov, S. I. Sheenko, “Some extremal problems in the theory of quasiconformal mappings”, Sibirsk. Mat. Zh., 31:1 (1990), 202–204; Siberian Math. J., 31:1 (1990), 171–173
V. I. Semenov, “Integral representation of the trace on the sphere of a certain class of vector fields, and uniform estimates of stability for quasiconformal mappings of the ball”, Mat. Sb. (N.S.), 133(175):2(6) (1987), 238–253; Math. USSR-Sb., 61:1 (1988), 239–257
V. I. Semenov, “Stability estimates for spatial quasiconformal mappings of a star domain”, Sibirsk. Mat. Zh., 28:6 (1987), 102–118; Siberian Math. J., 28:6 (1987), 946–959
V. I. Semenov, “Uniform estimates of stability for $n$-dimensional quasiconformal
and quasi-isometric mappings”, Dokl. Akad. Nauk SSSR, 286:2 (1986), 295–297
V. I. Semenov, “On an estimate in a theorem of the stability of conformal mappings of a disk”, Sibirsk. Mat. Zh., 27:2 (1986), 176–181; Siberian Math. J., 27:2 (1986), 284–289
1983
17.
V. I. Semenov, “Extension of quasiconformal mappings of a plane with minimal
coefficient”, Dokl. Akad. Nauk SSSR, 271:4 (1983), 805–808
1982
18.
V. I. Semenov, “Quasiconformal flows in Möbius spaces”, Mat. Sb. (N.S.), 119(161):3(11) (1982), 325–339; Math. USSR-Sb., 47:2 (1984), 315–328
V. I. Semenov, “On the representation by composition of certain classes of mappings”, Dokl. Akad. Nauk SSSR, 239:1 (1978), 54–55
22.
V. I. Semenov, “On the structure of certain classes of homeomorphisms of mappings of a sphere”, Sibirsk. Mat. Zh., 19:6 (1978), 1424–1427; Siberian Math. J., 19:6 (1978), 1005–1008
1977
23.
V. I. Semenov, “Semi-groups of some classes of transformations”, Sibirsk. Mat. Zh., 18:4 (1977), 877–889; Siberian Math. J., 18:4 (1977), 622–631
V. I. Semenov, “One-parameter groups of quasiconformal homeomorphisms in a Euclidean space”, Sibirsk. Mat. Zh., 17:1 (1976), 177–193; Siberian Math. J., 17:1 (1976), 140–152