Bildhauer, Michael; Fuchs, Martin; Seregin, Gregory Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. (English) Zbl 0984.49021 NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 1, 53-81 (2001). Reviewer: Dian K.Palagachev (Bari) MSC: 49N60 74G40 74G65 74C05 PDF BibTeX XML Cite \textit{M. Bildhauer} et al., NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 1, 53--81 (2001; Zbl 0984.49021) Full Text: DOI OpenURL
Fuchs, Martin; Seregin, Gregory Variational methods for problems from plasticity theory and for generalized Newtonian fluids. (English) Zbl 0964.76003 Lecture Notes in Mathematics. 1749. Berlin: Springer. vi, 269 p. (2000). Reviewer: Igor Bock (Bratislava) MSC: 76-02 74-02 74G65 76A05 76M30 74C05 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{G. Seregin}, Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Berlin: Springer (2000; Zbl 0964.76003) Full Text: DOI OpenURL
Fuchs, Martin; Seregin, Gregory Variational methods for problems from plasticity theory and for generalized Newtonian fluids. (English) Zbl 0943.74076 Ann. Univ. Sarav., Ser. Math. 10, No. 1, 1-283 (1999). Reviewer: I.A.Parinov (Rostov-na-Donu) MSC: 74S30 76M30 74C05 76A05 49S05 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{G. Seregin}, Ann. Univ. Sarav., Ser. Math. 10, No. 1, 1--283 (1999; Zbl 0943.74076) OpenURL
Fuchs, Martin; Seregin, Gregory Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. (English) Zbl 0928.76087 Math. Methods Appl. Sci. 22, No. 4, 317-351 (1999). MSC: 76M30 76A05 74C05 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{G. Seregin}, Math. Methods Appl. Sci. 22, No. 4, 317--351 (1999; Zbl 0928.76087) Full Text: DOI OpenURL
Seregin, G. A.; Frehse, J. Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. (English. Russian original) Zbl 0973.74033 Transl., Ser. 2, Am. Math. Soc. 193, 127-152 (1999); translation from Tr. St. Peterbg. Mat. Obshch. 5, 184-222 (1998). MSC: 74G40 74C05 49N60 PDF BibTeX XML Cite \textit{G. A. Seregin} and \textit{J. Frehse}, Transl., Ser. 2, Am. Math. Soc. 193, 1 (1998; Zbl 0973.74033); translation from Tr. St. Peterbg. Mat. Obshch. 5, 184--222 (1998) OpenURL
Fuchs, Martin; Seregin, Gregory Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. (English) Zbl 0899.76044 Math. Z. 227, No. 3, 525-541 (1998). Reviewer: M.Fuchs (Saarbrücken) MSC: 76A05 76M30 74C10 49J40 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{G. Seregin}, Math. Z. 227, No. 3, 525--541 (1998; Zbl 0899.76044) Full Text: DOI OpenURL
Seregin, G. A.; Shilkin, T. N. Regularity for minimizers of some variational problems in plasticity theory. (English. Russian original) Zbl 0904.49025 J. Math. Sci., New York 99, No. 1, 969-988 (2000); translation from Zap. Nauchn. Semin. POMI 243, 270-298 (1997). MSC: 49N60 74C99 74S30 74P10 PDF BibTeX XML Cite \textit{G. A. Seregin} and \textit{T. N. Shilkin}, J. Math. Sci., New York 99, No. 1, 969--988 (1997; Zbl 0904.49025); translation from Zap. Nauchn. Semin. POMI 243, 270--298 (1997) Full Text: DOI OpenURL
Seregin, G. A. Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. (English) Zbl 0954.74508 J. Math. Sci., New York 93, No. 5, 779-783 (1999) and Zap. Nauchn. Semin. POMI 233, 227-232 (1996). MSC: 74C99 74S30 49N60 PDF BibTeX XML Cite \textit{G. A. Seregin}, J. Math. Sci., New York 93, No. 5, 1 (1996; Zbl 0954.74508) Full Text: DOI EuDML OpenURL
Seregin, G. A. Two-dimensional variational problems of the theory of plasticity. (English. Russian original) Zbl 0881.73039 Izv. Math. 60, No. 1, 179-216 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 1, 175-210 (1996). MSC: 74C99 74S30 74P10 PDF BibTeX XML Cite \textit{G. A. Seregin}, Izv. Math. 60, No. 1, 179--216 (1996; Zbl 0881.73039); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 1, 175--210 (1996) Full Text: DOI OpenURL
Neittaanmäki, P.; Rivkind, V.; Seregin, G. A dual finite element approach for stresses of elasto-perfectly plastic bodies. (English) Zbl 0846.73066 Math. Comput. 64, No. 212, 1455-1462 (1995). MSC: 74S05 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{P. Neittaanmäki} et al., Math. Comput. 64, No. 212, 1455--1462 (1995; Zbl 0846.73066) Full Text: DOI Link OpenURL
Repin, S.; Seregin, G. Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. (English) Zbl 0890.73079 Uraltseva, N. N. (ed.), Nonlinear evolution equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 164 (22), 189-220 (1995). Reviewer: G.Olenev (Tartu) MSC: 74S30 74P10 74C99 49J35 49J52 PDF BibTeX XML Cite \textit{S. Repin} and \textit{G. Seregin}, Transl., Ser. 2, Am. Math. Soc. 164, 189--220 (1995; Zbl 0890.73079) OpenURL
Ladyzhenskaya, O.; Serëgin, G. On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. (English) Zbl 0846.35068 Uraltseva, N. N. (ed.), Nonlinear evolution equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 164 (22), 99-123 (1995). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35K60 74C10 PDF BibTeX XML Cite \textit{O. Ladyzhenskaya} and \textit{G. Serëgin}, Transl., Ser. 2, Am. Math. Soc. 164, 99--123 (1995; Zbl 0846.35068) OpenURL
Repin, S.; Seregin, G. Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. (English) Zbl 0899.73532 Int. J. Eng. Sci. 33, No. 2, 255-268 (1995). MSC: 74S05 74C99 65N15 PDF BibTeX XML Cite \textit{S. Repin} and \textit{G. Seregin}, Int. J. Eng. Sci. 33, No. 2, 255--268 (1995; Zbl 0899.73532) Full Text: DOI OpenURL
Neittaanmäki, P.; Rivkind, V.; Seregin, G. A dual finite element approach for stresses of elasto-perfectly plastic bodies. (English) Zbl 0790.73077 Neittaanmäki, P. (ed.) et al., Jyväskylä-St. Petersburg seminar on partial differential equations and numerical methods. Jyväskylä: University of Jyväskylä, Department of Mathematics. Jyväskylä Univ., Math. Inst., Ber. 56, 101-110 (1993). MSC: 74S20 74C99 PDF BibTeX XML Cite \textit{P. Neittaanmäki} et al., in: Jyväskylä-St. Petersburg seminar on partial differential equations and numerical methods. Jyväskylä: University of Jyväskylä, Department of Mathematics. 101--110 (1993; Zbl 0790.73077) OpenURL
Ladyzhenskaya, O.; Seregin, G. On a global stability of the two-dimensional visco-plastic flows. (English) Zbl 0790.73027 Neittaanmäki, P. (ed.) et al., Jyväskylä-St. Petersburg seminar on partial differential equations and numerical methods. Jyväskylä: University of Jyväskylä, Department of Mathematics. Jyväskylä Univ., Math. Inst., Ber. 56, 43-52 (1993). MSC: 74C10 35Q72 PDF BibTeX XML Cite \textit{O. Ladyzhenskaya} and \textit{G. Seregin}, in: Jyväskylä-St. Petersburg seminar on partial differential equations and numerical methods. Jyväskylä: University of Jyväskylä, Department of Mathematics. 43--52 (1993; Zbl 0790.73027) OpenURL
Seregin, G. A. Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. (English) Zbl 0779.73086 Appl. Math. Optimization 28, No. 3, 307-335 (1993). MSC: 74S30 74P10 49N60 74K20 74C99 PDF BibTeX XML Cite \textit{G. A. Seregin}, Appl. Math. Optim. 28, No. 3, 307--335 (1993; Zbl 0779.73086) Full Text: DOI OpenURL
Seregin, G. A. A local estimate of the maximum of the module of the deviator of the strain tensor in an elastoplastic body with linear hardening. (English. Russian original) Zbl 0836.73020 J. Math. Sci., New York 77, No. 3, 3243-3249 (1995); translation from Zap. Nauchn. Semi. POMI 200, 167-176 (1992). MSC: 74C99 35Q72 PDF BibTeX XML Cite \textit{G. A. Seregin}, J. Math. Sci., New York 77, No. 1, 167--176 (1992; Zbl 0836.73020); translation from Zap. Nauchn. Semi. POMI 200, 167--176 (1992) Full Text: DOI EuDML OpenURL
Seregin, G. A. On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. (English. Russian original) Zbl 0838.73029 St. Petersbg. Math. J. 4, No. 6, 1257-1272 (1993); translation from Algebra Anal. 4, No. 6, 234-252 (1992). MSC: 74C99 74S30 74P10 49N60 PDF BibTeX XML Cite \textit{G. A. Seregin}, St. Petersbg. Math. J. 4, No. 6, 234--252 (1992; Zbl 0838.73029); translation from Algebra Anal. 4, No. 6, 234--252 (1992) OpenURL
Seregin, G. A. A local estimate of the maximum of the modulus of the deviator of the strain tensor in an elastic-plastic body with linear hardening. (Russian. English summary) Zbl 0801.73028 Zap. Nauchn. Semin. POMI 200, 167-176 (1992). MSC: 74C99 35Q72 PDF BibTeX XML Cite \textit{G. A. Seregin}, Zap. Nauchn. Semin. POMI 200, 167--176 (1992; Zbl 0801.73028) Full Text: EuDML OpenURL
Seregin, G. A. On the regularity of minimizers of some variational problems of the theory of plasticity. (Russian) Zbl 0778.73085 Algebra Anal. 4, No. 5, 181-218 (1992). Reviewer: B.Vujanović (Novi Sad) MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{G. A. Seregin}, Algebra Anal. 4, No. 5, 181--218 (1992; Zbl 0778.73085) OpenURL
Seregin, G. A. On the regularity of the minimizers of some variational problems of the plasticity theory. (English. Russian original) Zbl 0791.73084 St. Petersbg. Math. J. 4, No. 5, 989-1020 (1993); translation from Algebra Anal. 4, No. 5, 181-218 (1992). MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{G. A. Seregin}, St. Petersbg. Math. J. 4, No. 5, 989--1020 (1992; Zbl 0791.73084); translation from Algebra Anal. 4, No. 5, 181--218 (1992) OpenURL
Seregin, G. A. Differential properties of solutions of evolutionary variational inequalities in plasticity theory. (Russian) Zbl 0899.73574 Probl. Mat. Anal. 12, 153-173 (1992). MSC: 74S30 74P10 74C99 35Q72 PDF BibTeX XML Cite \textit{G. A. Seregin}, Probl. Mat. Anal. 12, 153--173 (1992; Zbl 0899.73574) OpenURL
Seregin, G. A. On differential properties of extremals of variational problems of the mechanics of viscoplastic media. (English. Russian original) Zbl 0734.73096 Proc. Steklov Inst. Math. 188, 147-157 (1991); translation from Tr. Mat. Inst. Steklova 188, 117-124 (1990). Reviewer: V.Komkov (Wright-Patterson) MSC: 74S30 74P10 74C10 49J50 58C20 49Q20 PDF BibTeX XML Cite \textit{G. A. Seregin}, Proc. Steklov Inst. Math. 188, 147--157 (1991; Zbl 0734.73096); translation from Tr. Mat. Inst. Steklova 188, 117--124 (1990) OpenURL
Seregin, G. A. On differential properties of extremals of variational problems arising in the theory of plasticity. (English. Russian original) Zbl 0709.73021 Differ. Equations 26, No. 6, 756-766 (1990); translation from Differ. Uravn. 26, No. 6, 1033-1044 (1990). Reviewer: V.Komkov MSC: 74C99 74S30 74P10 49J27 58C20 PDF BibTeX XML Cite \textit{G. A. Seregin}, Differ. Equations 26, No. 6, 756--766 (1990; Zbl 0709.73021); translation from Differ. Uravn. 26, No. 6, 1033--1044 (1990) OpenURL
Seregin, G. A. On the regularity of weak solutions of variational problems in plasticity theory. (English. Russian original) Zbl 0738.73082 Sov. Math., Dokl. 42, No. 2, 683-688 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 6, 1344-1349 (1990). Reviewer: Teodor Atanacković (Novi Sad) MSC: 74S30 74P10 74C99 35D30 35B65 PDF BibTeX XML Cite \textit{G. A. Seregin}, Sov. Math., Dokl. 42, No. 2, 683--688 (1990; Zbl 0738.73082); translation from Dokl. Akad. Nauk SSSR 314, No. 6, 1344--1349 (1990) OpenURL
Serëgin, G. A. A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. (Russian) Zbl 0769.73098 Some applications of functional analysis to problems of mathematical physics, Collect. Sci. Works, Novosibirsk, 127-138 (1988). Reviewer: M.Mişicu (Bucureşti) MSC: 74S30 74P10 74C99 PDF BibTeX XML Cite \textit{G. A. Serëgin}, in: Некоторые приложения функционального анализа к задачам математической физики. Сборник научных трудов. Novosibirsk: Institut Matematiki SO AN SSSR. 127--138 (1988; Zbl 0769.73098) OpenURL
Seregin, G. A. Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. (English. Russian original) Zbl 0655.73017 Differ. Equations 23, No. 11, 1349-1358 (1987); translation from Differ. Uravn. 23, No. 11, 1981-1991 (1987). Reviewer: W.R.Bielski MSC: 74C99 74S30 49J27 49J45 74B99 74D99 PDF BibTeX XML Cite \textit{G. A. Seregin}, Differ. Equations 23, No. 11, 1349--1358 (1987; Zbl 0655.73017); translation from Differ. Uravn. 23, No. 11, 1981--1991 (1987) OpenURL
Seregin, G. A. Formulations of the problems of the theory of an ideally elastic-plastic body. (English. Russian original) Zbl 0627.73032 J. Appl. Math. Mech. 49, 651-659 (1985); translation from Prikl. Mat. Mekh. 49, No. 5, 849-859 (1985). Reviewer: G.Paria MSC: 74C99 74S30 74A20 74G30 74H25 46N99 PDF BibTeX XML Cite \textit{G. A. Seregin}, J. Appl. Math. Mech. 49, 651--659 (1985; Zbl 0627.73032); translation from Prikl. Mat. Mekh. 49, No. 5, 849--859 (1985) Full Text: DOI OpenURL
Serëgin, G. A. Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. (English) Zbl 0584.73039 U.S.S.R. Comput. Math. Math. Phys. 25, No. 1, 153-165 (1985). MSC: 74C99 74S30 49J40 PDF BibTeX XML Cite \textit{G. A. Serëgin}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 1, 153--165 (1985; Zbl 0584.73039) Full Text: DOI OpenURL
Seregin, G. A. Extension of the variational formulation of the problem for a rigid- plastic medium to velocity fields with slip-type discontinuities. (English. Russian original) Zbl 0567.73046 J. Appl. Math. Mech. 47, 820-827 (1985); translation from Prikl. Mat. Mekh. 47, 1030-1037 (1983). Reviewer: I.Ecsedi MSC: 74C99 74S30 49J35 PDF BibTeX XML Cite \textit{G. A. Seregin}, J. Appl. Math. Mech. 47, 820--827 (1985; Zbl 0567.73046); translation from Prikl. Mat. Mekh. 47, 1030--1037 (1983) Full Text: DOI OpenURL
Serëgin, G. A. Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. (Russian) Zbl 0566.73031 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 2, 237-253 (1985). Reviewer: T.Atanacković MSC: 74C99 49J40 74S30 PDF BibTeX XML Cite \textit{G. A. Serëgin}, Zh. Vychisl. Mat. Mat. Fiz. 25, No. 2, 237--253 (1985; Zbl 0566.73031) OpenURL
Seregin, G. A. On the well-posedness of variational problems of the mechanics of ideally elastic-plastic media. (English. Russian original) Zbl 0593.73034 Sov. Phys., Dokl. 29, 396-398 (1984); translation from Dokl. Akad. Nauk SSSR 276, 71-75 (1984). MSC: 74C99 74S30 49K27 49J40 PDF BibTeX XML Cite \textit{G. A. Seregin}, Sov. Phys., Dokl. 29, 396--398 (1984; Zbl 0593.73034); translation from Dokl. Akad. Nauk SSSR 276, 71--75 (1984) OpenURL
Seregin, G. A. Variational formulations of certain problems of the theory of the flow of rigid-plastic media. (English. Russian original) Zbl 0589.73034 J. Appl. Math. Mech. 48, 728-731 (1984); translation from Prikl. Mat. Mekh. 48, 992-996 (1984). MSC: 74C99 74S30 PDF BibTeX XML Cite \textit{G. A. Seregin}, J. Appl. Math. Mech. 48, 728--731 (1984; Zbl 0589.73034); translation from Prikl. Mat. Mekh. 48, 992--996 (1984) Full Text: DOI OpenURL
Seregin, G. A. Proper formulation of initial-and-boundary value problems in the mechanics of perfectly elastic-plastic media. (English. Russian original) Zbl 0528.73037 Sov. Phys., Dokl. 28, 473-474 (1983); translation from Dokl. Akad. Nauk SSSR 270, 810-813 (1983). MSC: 74C99 74B99 46N99 PDF BibTeX XML Cite \textit{G. A. Seregin}, Sov. Phys., Dokl. 28, 473--474 (1983; Zbl 0528.73037); translation from Dokl. Akad. Nauk SSSR 270, 810--813 (1983) OpenURL