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Found 85 Documents (Results 1–85)

On the 90th birthday of Vsevolod Alekseevich Solonnikov. (English. Russian original) Zbl 1535.01052

Russ. Math. Surv. 78, No. 5, 971-981 (2023); translation from Usp. Mat. Nauk 78, No. 5, 187-198 (2023).
MSC:  01A70
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Exact plane-wave solution of the equations of a theory of gravitation with a massive graviton. (English. Russian original) Zbl 1462.83037

Russ. Phys. J. 64, No. 1, 9-16 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 1, 10-15 (2021).
MSC:  83D05 83C15
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Motion of a drop in an incompressible fluid. Translated from the Russian. (English) Zbl 1511.76002

Advances in Mathematical Fluid Mechanics. Lecture Notes in Mathematical Fluid Mechanics. Cham: Birkhäuser (ISBN 978-3-030-70052-2/pbk; 978-3-030-70053-9/ebook). vii, 316 p. (2021).
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Global solvability of the problem on two-phase capillary fluid motion in the Oberbeck-Boussinesq approximation. (English) Zbl 1371.35194

Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 49-70 (2016).
MSC:  35Q30 76D03 76D45
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Mathematical modeling of the nonlinear electrodynamics effect of signal delay in the magnetic field of pulsars. (English. Russian original) Zbl 1341.78014

Comput. Math. Math. Phys. 55, No. 11, 1857-1866 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 11, 1893-1903 (2015).
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Explicit formulas for interpolating splines of degree 5 on the triangle. (English. Russian original) Zbl 1315.65013

Cybern. Syst. Anal. 50, No. 5, 670-678 (2014); translation from Kibern. Sist. Anal. No. 5, 25-33 (2014).
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Using the concept of natural geometry in the nonlinear electrodynamics of the vacuum. (English. Russian original) Zbl 1282.78013

Theor. Math. Phys. 172, No. 3, 1321-1327 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 505-512 (2012).
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Global solvability of a problem governing the motion of two incompressible capillary fluids in a container. (English. Russian original) Zbl 1278.35175

J. Math. Sci., New York 185, No. 5, 668-686 (2012); translation from Zap. Nauchn. Semin. POMI 397, 20-52 (2011).
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An integral relation for tensor polynomials. (English. Russian original) Zbl 1300.15008

Theor. Math. Phys. 166, No. 2, 186-193 (2011); translation from Teor. Mat. Fiz. 166, No. 2, 216-224 (2011).
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Oberbeck-Boussinesq approximation for the motion of two incompressible fluids. (English. Russian original) Zbl 1179.35238

J. Math. Sci., New York 159, No. 4, 436-451 (2009); translation from Zap. Nauchn. Semin. POMI 362, 92-119 (2008).
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To the 75th birthday of Vsevolod Alekseevich Solonnikov. (English. Russian original) Zbl 1175.01073

J. Math. Sci., New York 159, No. 4, 385-390 (2009); translation from Zap. Nauchn. Semin. POMI 362, 5-14 (2008).
MSC:  01A70
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Stability of a viscoelastic plate in fluid flow. (Russian, English) Zbl 1116.74010

Prikl. Mekh. Tekh. Fiz. 47, No. 4, 66-74 (2006); translation in J. Appl. Mech. Tech. Phys. 47, No. 4, 515-522 (2006).
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Vsevolod Alekseevich Solonnikov (on the occasion of his 70th birthday). (English. Russian original) Zbl 1221.01115

J. Math. Sci., New York 130, No. 4, 4775-4779 (2005); translation from Zap. Nauchn. Semin. POMI 306, 7-15 (2003).
MSC:  01A70
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On the problem of thermocapillary convection for two incompressible fluids separated by a closed interface. (English) Zbl 1083.35089

Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 45-64 (2005).
MSC:  35Q30 76D45 35K55
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Spreading waves in a three-dimensional dielectric periodic waveguide described by the generalized reduced wave equation. (Russian, English) Zbl 1099.35055

Probl. Mat. Anal. 29, 17-24 (2004); translation in J. Math. Sci., New York 124, No. 3, 4958-4967 (2004).
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Solvability in weighted Hölder spaces for a problem governing the evolution of two compressible fluids. (English. Russian original) Zbl 1082.35118

J. Math. Sci., New York 127, No. 2, 1849-1868 (2005); translation from Zap. Nauchn. Semin. POMI 295, 57-89 (2003).
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Projection and resolving operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1128.35321

Vestn. St. Petersbg. Univ., Math. 36, No. 3, 18-20 (2003); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2003, No. 3, 20-22 (2003).
MSC:  35J25 78A50
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Projection operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1113.35319

J. Math. Sci., New York 117, No. 3, 4122-4156 (2003); translation from Probl. Mat. Anal. 26, 87-138 (2003).
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Path equation for photons moving in the magnetic meridian plane of a dipole magnetic field and governed by the laws of nonlinear electrodynamics in a vacuum. (Russian) Zbl 1040.78004

Dokl. Math. 67, No. 1, 90-92 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 1, 23-26 (2003).
MSC:  78A35 35Q60 81V10
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Classical solvability of a problem on the motion of an isolated mass of compressible fluid. (English. Russian original) Zbl 1037.35103

St. Petersbg. Math. J. 14, No. 1, 53-74 (2003); translation from Algebra Anal. 14, No. 1, 71-98 (2002).
MSC:  35R35 35Q35 76N10
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The spectrum of a periodic lightguide in three-dimensional space. (English. Russian original) Zbl 1113.78311

J. Math. Sci., New York 112, No. 1, 3997-4014 (2002); translation from Probl. Mat. Anal. 24, 103-130 (2002).
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Interaction effect of plane electromagnetic waves in the Born-Infeld nonlinear electrodynamics. (English. Russian original) Zbl 1032.78016

Theor. Math. Phys. 129, No. 1, 1421-1427 (2001); translation from Teor. Mat. Fiz. 129, No. 1, 131-139 (2001).
MSC:  78A60 78A40
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A particular solution of the equations of motion of a mass-point with a current element in the Earth’s gravitational and magnetic fields. (English. Russian original) Zbl 1051.70550

Mosc. Univ. Mech. Bull. 56, No. 6, 23-25 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 6, 58-60 (2001).
MSC:  70M20 78A99
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Mathematical modeling of the motion of a spacecraft under gravitational and Ampère’s forces. (English. Russian original) Zbl 1054.70019

Dokl. Math. 62, No. 2, 152-154 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 1, 10-12 (2000).
MSC:  70M20
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Classical solvability of a model problem in a half-space, related to the motion of an isolated mass of a compressible fluid. (English. Russian original) Zbl 1118.76312

J. Math. Sci., New York 115, No. 6, 2753-2765 (2003); translation from Zap. Nauchn. Semin. POMI 271, 92-113 (2000).
MSC:  76D03 35Q35 35R35
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The characteristic spectrum of the reduced wave equation with periodic coefficients in the three-dimensional space. (English. Russian original) Zbl 0987.35115

J. Math. Sci., New York 105, No. 5, 2377-2397 (2001); translation from Probl. Mat. Anal. 21, 110-137 (2000).
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Classical solvability of the problem describing the evolution of a drop in a liquid medium. (English) Zbl 0842.35138

Sequeira, A. (ed.), Navier-Stokes equations and related nonlinear problems. Proceedings of the 3rd international conference, held May 21-27, 1994 in Funchal, Madeira, Portugal. Funchal: Plenum Press. 191-199 (1995).
MSC:  35R35 35Q35 35A07
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Classical solvability of the problem on the motion of two viscous incompressible fluids. (English. Russian original) Zbl 0859.35093

St. Petersbg. Math. J. 7, No. 5, 755-786 (1996); translation from Algebra Anal. 7, No. 5, 101-142 (1995).
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Solvability in Hölder spaces of a model initial-boundary value problem generated by a problem on the motion of two fluids. (English. Russian original) Zbl 0835.35108

J. Math. Sci., New York 70, No. 3, 1717-1746 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 188, 5-44 (1991).
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A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium. (English. Russian original) Zbl 0737.35063

Proc. Steklov Inst. Math. 188, 1-24 (1991); translation from Tr. Mat. Inst. Steklova 188, 3-21 (1990).
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Solvability of the linearized problem on the motion of a drop in a liquid flow. (English. Russian original) Zbl 0796.76025

J. Sov. Math. 56, No. 2, 2309-2316 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 171, 53-65 (1989).
MSC:  76D05 76D45 35Q30
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A problem with one-sided constraints on the separation surface of two domains. (English. Russian original) Zbl 0595.35048

Vestn. Leningr. Univ., Math. 18, No. 2, 43-50 (1985); translation from Vestn. Leningr. Univ. 1985, No. 8, Mat. Mekh. Astron. No. 2, 36-42 (1985).
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