Edit Profile (opens in new tab) Danilov, Vladimir G. Compute Distance To: Compute Author ID: danilov.vladimir-g Published as: Danilov, V. G.; Danilov, Vladimir G.; Danilov, Vladimir more...less Documents Indexed: 102 Publications since 1974, including 4 Books Co-Authors: 11 Co-Authors with 44 Joint Publications 395 Co-Co-Authors all top 5 Co-Authors 23 single-authored 20 Omel’yanov, Georgii A. 14 Maslov, Viktor Pavlovich 13 Radkevich, Evgeniĭ Vladimirovich 9 Volosov, Konstantin Aleksandrovich 7 Shelkovich, Vladimir M. 4 Gaydukov, R. K. 4 Mitrovic, Darko 4 Rudnev, V. Yu. 3 Rashkovskiĭ, O. B. 2 Albeverio, Sergio A. 2 Frolovichev, S. M. 2 Loginov, A. M. 2 Subochev, P. Yu. 1 Bojkovic, Velibor 1 Dzhemesyuk, I. A. 1 Frolovitchev, Serguei M. 1 Holmes, Jeff 1 Kiseleva, E. A. 1 Kokotushkina, N. V. 1 Kolobov, N. A. 1 Le Vu An’ 1 Lukashev, E. M. 1 Makarova, Marina V. 1 Myasnikov, V. P. 1 Rakhel, M. A. 1 Rossinskii, K. Yu. 1 Rozenknop, Daniil 1 Shishlo, A. 1 Tsupin, V. A. 1 Zhevandrov, Peter N. all top 5 Serials 10 Mathematical Notes 10 Russian Journal of Mathematical Physics 5 Doklady Mathematics 5 Matematicheskoe Modelirovanie 4 Matematicheskie Zametki 4 European Journal of Applied Mathematics 3 Theoretical and Mathematical Physics 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Electronic Journal of Differential Equations (EJDE) 2 Journal of Differential Equations 2 Matematički Vesnik 2 Soviet Mathematics. Doklady 2 Soviet Physics. Doklady 2 Journal of Mathematical Sciences (New York) 2 Integral Transforms and Special Functions 2 Abstract and Applied Analysis 2 Proceedings of the Steklov Institute of Mathematics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Differential Equations 1 Econometrica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Portugaliae Mathematica 1 Quarterly of Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Mathematics of the USSR, Sbornik 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Physics-Doklady 1 Sbornik: Mathematics 1 Nonlinear Studies 1 European Journal of Mechanics. B. Fluids 1 Nonlinear Boundary Value Problems 1 Differential Equations 1 Mathematics and its Applications (Dordrecht) 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 78 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 19 Classical thermodynamics, heat transfer (80-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 394 times in 267 Documents Cited by ▼ Year ▼ Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems. Zbl 1072.35121Danilov, V. G.; Shelkovich, V. M. 132 2005 Delta shock wave formation in the case of triangular hyperbolic system of conservation laws. Zbl 1192.35120Danilov, V. G.; Mitrovic, D. 69 2008 Implementation via Nash equilibria. Zbl 0761.90004Danilov, Vladimir 41 1992 Mathematical modelling of heat and mass transfer processes. Rev. a. upd. transl. from the Russian by M. A. Shishkova. Zbl 0839.35001Danilov, V. G.; Maslov, V. P.; Volosov, K. A. 36 1995 Mathematical modelling of heat and mass transfer processes. Evolution of dissipative structures. (Matematicheskoe modelirovanie protsessov teplomassoperenosa. Ehvolyutsiya dissipativnykh struktur). Zbl 0645.73049Maslov, V. P.; Danilov, V. G.; Volosov, K. A. 31 1987 Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M. 25 2003 Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems. Zbl 0946.35049Danilov, V. G.; Maslov, V. P.; Shelkovich, V. M. 21 1998 Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 21 1999 Propagation and interaction of shock waves of quasilinear equation. Zbl 1008.35041Danilov, V. G.; Shelkovich, V. M. 19 2001 Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process. Zbl 1189.35178Mitrovic, D.; Bojkovic, V.; Danilov, V. G. 17 2010 Weak asymptotics of shock wave formation process. Zbl 1079.35067Danilov, V.; Mitrovic, D. 15 2005 Generalized solutions describing singularity interaction. Zbl 1011.35093Danilov, V. G. 13 2002 Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092Danilov, V. G.; Omel’yanov, G. A. 12 2003 Mathematical modelling of the damaged block of the Chernobyl Atomic Electric Power Station. (Математическое моделирование аварийного блока Чернобыльской АЭС (атомной электростанции).) Zbl 0661.00025Maslov, V. P.; Myasnikov, V. P.; Danilov, V. G. 10 1987 Shock wave formation process for a multidimensional scalar conservation law. Zbl 1229.35138Danilov, V. G.; Mitrovic, D. 10 2011 Vortices in the Prandtl boundary layer induced by irregularities on a plate. Zbl 1325.76068Danilov, V. G.; Gaydukov, R. K. 9 2015 Exact asymptotics of the density of the transition probability for discontinuous Markov processes. Zbl 0963.35036Danilov, Vladimir G.; Frolovitchev, Serguei M. 9 2000 Asymptotic and numerical analysis of the flow around a plate with small periodic irregularities. Zbl 0967.76536Danilov, Vladimir G.; Makarova, Marina V. 9 1994 On singularities of continuity equation solutions. Zbl 1138.35362Danilov, V. G. 8 2008 Propagation and interaction of delta-shock waves of a hyperbolic system of conservation laws. Zbl 1098.35106Danilov, V. G.; Shelkovich, V. M. 7 2003 Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating. Zbl 1132.80002Danilov, V. G. 7 2007 Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws. Zbl 1129.35440Danilov, V. G.; Shelkovich, V. M. 6 2004 Double-deck structure of the boundary layer in problems of flow around localized perturbations on a plate. Zbl 1358.76024Danilov, V. G.; Gaydukov, R. K. 6 2015 Double-deck structure of the boundary layer in the problem of flow in an axially symmetric pipe with small irregularities on the wall for large Reynolds numbers. Zbl 1370.76039Danilov, V. G.; Gaydukov, R. K. 6 2017 Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. Zbl 1251.35204Albeverio, S.; Danilov, V. G. 6 2011 A representation of the delta function via creation operators and Gaussian exponentials, and multiplicative fundamental solution asymptotics for some parabolic pseudodifferential equations. Zbl 0945.58024Danilov, Vladimir G. 6 1995 Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. 6 1998 Remarks on vacuum state and uniqueness of concentration process. Zbl 1170.35479Danilov, Vladimir G. 5 2008 Nonsmooth nonoscillating exponential-type asymptotics for linear parabolic PDE. Zbl 06780928Danilov, V. G. 5 2017 Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 5 1995 Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031Danilov, V. G.; Omel’yanov, G. A. 5 2002 Pontryagin’s duality principle for the computation of an effect of Cherenkov type in crystals and difference schemes. I. Zbl 0564.65040Maslov, V. P.; Danilov, V. G. 5 1984 Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics. Zbl 1238.35197Albeverio, Sergio; Danilov, Vladimir 5 2012 Smooth approximations of global in time solutions to scalar conservation laws. Zbl 1172.35450Danilov, V. G.; Mitrovic, D. 4 2009 Generalized solutions of nonlinear differential equations and the Maslov algebras of distributions. Zbl 0934.35089Danilov, V. G.; Shelkovich, V. M. 4 1998 Asymptotic solutions of travelling waves type for semilinear parabolic equations with a small parameter. Zbl 0729.35067Danilov, V. G. 4 1990 Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079Danilov, Vladimir G.; Omel’yanov, Georgii A. 3 2003 Wave solutions of semilinear parabolic equations. Zbl 0777.35029Danilov, V. G.; Subochev, P. Yu. 3 1991 Estimates for a pseudodifferential canonical operator with complex phase. Zbl 0424.47033Danilov, V. G. 3 1979 On Fourier integral operators. Zbl 0479.47047Danilov, V. G.; Le Vu An’ 2 1981 Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil 2 2002 Global formulae for solutions of quasilinear parabolic equations with a small parameter and ill-posedness. Zbl 0736.35056Danilov, V. G. 2 1989 Correctness of h-pseudodifferential equations in the class of asymptotics of exponential type. Zbl 0672.35007Danilov, V. G. 2 1988 Global-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motion. Zbl 1274.35441Danilov, V. G. 2 2013 Quasi-invertibility of functions of ordered operators in the theory of pseudodifferential equations. Zbl 0402.35094Maslov, V. P.; Danilov, V. G. 2 1976 Weak solutions to the phase field system. Zbl 0908.35143Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 2 1998 Asymptotic of nonoscillating fundamental solution of \(h\)-pseudodifferential equations. Zbl 0845.35146Danilov, V. G. 2 1995 The Pontryagin duality principle for computing a Cherenkov type effect in crystals and difference schemes. II. Zbl 0594.65036Danilov, V. G.; Maslov, V. P. 2 1986 On Maslov’s method for constructing combined asymptotics for h- pseudodifferential equations. Zbl 0703.35185Danilov, V. G.; Zhevandrov, P. N. 2 1990 The tunnel WKB-method for constructing the asymptotics of the Green function for parabolic equations. Zbl 1059.35015Danilov, V. G.; Frolovitchev, S. M. 1 2001 Streamline of a plate with small periodic irregularities. Zbl 1109.76312Danilov, V. G.; Rossinskii, K. Yu. 1 2003 Asymptotic behavior of a combustion wave in a nonlinear inhomogeneous medium with slowly varying wave properties. Zbl 0618.76071Volosov, K. A.; Danilov, V. G.; Maslov, V. P 1 1986 Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. Zbl 0932.35144Danilov, Vladimir G.; Omel’yanov, Georgii A. 1 1999 Interaction of \(\delta\)-shock waves in a system of pressureless gas dynamics equations. Zbl 1428.35218Danilov, V. G. 1 2019 Structure of a weak discontinuity of solutions of quasilinear degenerate parabolic equations. Zbl 0667.35044Volosov, K. A.; Danilov, V. G.; Maslov, V. P. 1 1988 Propagation of singularities and related problems of solidification. Zbl 0947.46032Danilov, V. G.; Omel’yanov, G. A. 1 1997 Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1997 On the relation between the Maslov-Whitham method and the weak asymptotics method. Zbl 1193.35183Danilov, V. G. 1 2010 Averaging under Rayleigh-Taylor instability and density mushy region generation. Zbl 1408.76263Danilov, V. G. 1 2019 Stepwise approximations and limiting generalized solution to the hyperbolic conservation law. Zbl 1432.35139Danilov, V. G. 1 2018 Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. 1 1995 Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. Zbl 0870.35127Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1995 Pontryagin’s duality principle for the computation of an effect of Cherenkov type in crystals and in difference schemes. II. Zbl 0582.65045Danilov, V. G.; Maslov, V. P. 1 1985 The Pontryagin duality principle for computing a Cherenkov type effect in crystals and difference schemes. I. Zbl 0585.65044Maslov, V. P.; Danilov, V. G. 1 1986 Interaction of \(\delta\)-shock waves in a system of pressureless gas dynamics equations. Zbl 1428.35218Danilov, V. G. 1 2019 Averaging under Rayleigh-Taylor instability and density mushy region generation. Zbl 1408.76263Danilov, V. G. 1 2019 Stepwise approximations and limiting generalized solution to the hyperbolic conservation law. Zbl 1432.35139Danilov, V. G. 1 2018 Double-deck structure of the boundary layer in the problem of flow in an axially symmetric pipe with small irregularities on the wall for large Reynolds numbers. Zbl 1370.76039Danilov, V. G.; Gaydukov, R. K. 6 2017 Nonsmooth nonoscillating exponential-type asymptotics for linear parabolic PDE. Zbl 06780928Danilov, V. G. 5 2017 Vortices in the Prandtl boundary layer induced by irregularities on a plate. Zbl 1325.76068Danilov, V. G.; Gaydukov, R. K. 9 2015 Double-deck structure of the boundary layer in problems of flow around localized perturbations on a plate. Zbl 1358.76024Danilov, V. G.; Gaydukov, R. K. 6 2015 Global-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motion. Zbl 1274.35441Danilov, V. G. 2 2013 Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics. Zbl 1238.35197Albeverio, Sergio; Danilov, Vladimir 5 2012 Shock wave formation process for a multidimensional scalar conservation law. Zbl 1229.35138Danilov, V. G.; Mitrovic, D. 10 2011 Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. Zbl 1251.35204Albeverio, S.; Danilov, V. G. 6 2011 Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process. Zbl 1189.35178Mitrovic, D.; Bojkovic, V.; Danilov, V. G. 17 2010 On the relation between the Maslov-Whitham method and the weak asymptotics method. Zbl 1193.35183Danilov, V. G. 1 2010 Smooth approximations of global in time solutions to scalar conservation laws. Zbl 1172.35450Danilov, V. G.; Mitrovic, D. 4 2009 Delta shock wave formation in the case of triangular hyperbolic system of conservation laws. Zbl 1192.35120Danilov, V. G.; Mitrovic, D. 69 2008 On singularities of continuity equation solutions. Zbl 1138.35362Danilov, V. G. 8 2008 Remarks on vacuum state and uniqueness of concentration process. Zbl 1170.35479Danilov, Vladimir G. 5 2008 Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating. Zbl 1132.80002Danilov, V. G. 7 2007 Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems. Zbl 1072.35121Danilov, V. G.; Shelkovich, V. M. 132 2005 Weak asymptotics of shock wave formation process. Zbl 1079.35067Danilov, V.; Mitrovic, D. 15 2005 Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws. Zbl 1129.35440Danilov, V. G.; Shelkovich, V. M. 6 2004 Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M. 25 2003 Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092Danilov, V. G.; Omel’yanov, G. A. 12 2003 Propagation and interaction of delta-shock waves of a hyperbolic system of conservation laws. Zbl 1098.35106Danilov, V. G.; Shelkovich, V. M. 7 2003 Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079Danilov, Vladimir G.; Omel’yanov, Georgii A. 3 2003 Streamline of a plate with small periodic irregularities. Zbl 1109.76312Danilov, V. G.; Rossinskii, K. Yu. 1 2003 Generalized solutions describing singularity interaction. Zbl 1011.35093Danilov, V. G. 13 2002 Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031Danilov, V. G.; Omel’yanov, G. A. 5 2002 Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil 2 2002 Propagation and interaction of shock waves of quasilinear equation. Zbl 1008.35041Danilov, V. G.; Shelkovich, V. M. 19 2001 The tunnel WKB-method for constructing the asymptotics of the Green function for parabolic equations. Zbl 1059.35015Danilov, V. G.; Frolovitchev, S. M. 1 2001 Exact asymptotics of the density of the transition probability for discontinuous Markov processes. Zbl 0963.35036Danilov, Vladimir G.; Frolovitchev, Serguei M. 9 2000 Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 21 1999 Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. Zbl 0932.35144Danilov, Vladimir G.; Omel’yanov, Georgii A. 1 1999 Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems. Zbl 0946.35049Danilov, V. G.; Maslov, V. P.; Shelkovich, V. M. 21 1998 Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. 6 1998 Generalized solutions of nonlinear differential equations and the Maslov algebras of distributions. Zbl 0934.35089Danilov, V. G.; Shelkovich, V. M. 4 1998 Weak solutions to the phase field system. Zbl 0908.35143Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 2 1998 Propagation of singularities and related problems of solidification. Zbl 0947.46032Danilov, V. G.; Omel’yanov, G. A. 1 1997 Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1997 Mathematical modelling of heat and mass transfer processes. Rev. a. upd. transl. from the Russian by M. A. Shishkova. Zbl 0839.35001Danilov, V. G.; Maslov, V. P.; Volosov, K. A. 36 1995 A representation of the delta function via creation operators and Gaussian exponentials, and multiplicative fundamental solution asymptotics for some parabolic pseudodifferential equations. Zbl 0945.58024Danilov, Vladimir G. 6 1995 Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 5 1995 Asymptotic of nonoscillating fundamental solution of \(h\)-pseudodifferential equations. Zbl 0845.35146Danilov, V. G. 2 1995 Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. 1 1995 Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. Zbl 0870.35127Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1995 Asymptotic and numerical analysis of the flow around a plate with small periodic irregularities. Zbl 0967.76536Danilov, Vladimir G.; Makarova, Marina V. 9 1994 Implementation via Nash equilibria. Zbl 0761.90004Danilov, Vladimir 41 1992 Wave solutions of semilinear parabolic equations. Zbl 0777.35029Danilov, V. G.; Subochev, P. Yu. 3 1991 Asymptotic solutions of travelling waves type for semilinear parabolic equations with a small parameter. Zbl 0729.35067Danilov, V. G. 4 1990 On Maslov’s method for constructing combined asymptotics for h- pseudodifferential equations. Zbl 0703.35185Danilov, V. G.; Zhevandrov, P. N. 2 1990 Global formulae for solutions of quasilinear parabolic equations with a small parameter and ill-posedness. Zbl 0736.35056Danilov, V. G. 2 1989 Correctness of h-pseudodifferential equations in the class of asymptotics of exponential type. Zbl 0672.35007Danilov, V. G. 2 1988 Structure of a weak discontinuity of solutions of quasilinear degenerate parabolic equations. Zbl 0667.35044Volosov, K. A.; Danilov, V. G.; Maslov, V. P. 1 1988 Mathematical modelling of heat and mass transfer processes. Evolution of dissipative structures. (Matematicheskoe modelirovanie protsessov teplomassoperenosa. Ehvolyutsiya dissipativnykh struktur). Zbl 0645.73049Maslov, V. P.; Danilov, V. G.; Volosov, K. A. 31 1987 Mathematical modelling of the damaged block of the Chernobyl Atomic Electric Power Station. (Математическое моделирование аварийного блока Чернобыльской АЭС (атомной электростанции).) Zbl 0661.00025Maslov, V. P.; Myasnikov, V. P.; Danilov, V. G. 10 1987 The Pontryagin duality principle for computing a Cherenkov type effect in crystals and difference schemes. II. Zbl 0594.65036Danilov, V. G.; Maslov, V. P. 2 1986 Asymptotic behavior of a combustion wave in a nonlinear inhomogeneous medium with slowly varying wave properties. Zbl 0618.76071Volosov, K. A.; Danilov, V. G.; Maslov, V. P 1 1986 The Pontryagin duality principle for computing a Cherenkov type effect in crystals and difference schemes. I. Zbl 0585.65044Maslov, V. P.; Danilov, V. G. 1 1986 Pontryagin’s duality principle for the computation of an effect of Cherenkov type in crystals and in difference schemes. II. Zbl 0582.65045Danilov, V. G.; Maslov, V. P. 1 1985 Pontryagin’s duality principle for the computation of an effect of Cherenkov type in crystals and difference schemes. I. Zbl 0564.65040Maslov, V. P.; Danilov, V. G. 5 1984 On Fourier integral operators. Zbl 0479.47047Danilov, V. G.; Le Vu An’ 2 1981 Estimates for a pseudodifferential canonical operator with complex phase. Zbl 0424.47033Danilov, V. G. 3 1979 Quasi-invertibility of functions of ordered operators in the theory of pseudodifferential equations. Zbl 0402.35094Maslov, V. P.; Danilov, V. G. 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 221 Authors 17 Shen, Chun 17 Sun, Meina 14 Mitrovic, Darko 14 Radkevich, Evgeniĭ Vladimirovich 12 Maslov, Viktor Pavlovich 12 Sarrico, Carlos Orlando R. 10 Omel’yanov, Georgii A. 10 Shelkovich, Vladimir M. 10 Volosov, Konstantin Aleksandrovich 9 Cheng, Hongjun 9 Gaydukov, R. K. 9 Yang, Hanchun 8 Colombeau, Mathilde 8 Kalisch, Henrik 7 Guo, Lihui 7 Zhang, Yanyan 6 Danilov, Vladimir G. 5 Albeverio, Sergio A. 5 Lukashev, Evgeniĭ Alekseevich 5 Yakovlev, Nikolaĭ Nikolaevich 4 Molotkov, I. A. 4 Nedeljkov, Marko 4 Pang, Yicheng 4 Panov, Evgeniy Yu. 4 Rozanova, Olga S. 4 Sekhar, T. Raja 4 Sen, Anupam 4 Zhang, Yu 3 Abreu, Eduardo 3 Dobrokhotov, Sergei Yurievich 3 Khrennikov, Andreĭ Yur’evich 3 Luk’yanenko, Dmitriĭ Vital’evich 3 Nordbotten, Jan Martin 3 Palin, Vladimir Vladimirovich 3 Sergeev, Sergeĭ Alekseevich 3 Teyekpiti, Vincent 3 Wang, Guodong 3 Wang, Jinhuan 3 Yin, Gan 3 Zhang, Chengjian 3 Zhang, Qingling 2 Argun, R. L. 2 Hu, Chinkun 2 Kametaka, Yoshinori 2 Kazakov, Aleksandr Leonidovich 2 Li, Dongfang 2 Li, Shiwei 2 Li, Shuangrong 2 Lin, Xiuli 2 Novak, Andrej 2 Oberguggenberger, Michael B. 2 Paiva, Adelino 2 Pan, Lijun 2 Shishlenin, Maxim Aleksandrovich 2 Song, Yating 2 Tong, Meizi 2 Trushkov, V. V. 2 Vasil’eva, Ol’ga Aleksandrovna 2 Volosova, Aleksandra Konstantinovna 2 Yu, Jui-Ling 2 Zhang, Yunfeng 2 Zhevandrov, Peter N. 1 Achatz, Ulrich 1 Alvarez, Gustavo Benitez 1 Aziz, Imran 1 Bagirov, Lev A. 1 Baskonus, Haci Mehmet 1 Bojkovic, Velibor 1 Borisov, Denis Ivanovich 1 Borsche, Raul 1 Borzunov, Andrey A. 1 Boutet de Monvel, Anne Marie 1 Bratus, Alexander S. 1 Brychkov, Yury A. 1 Cai, Wei 1 Capdeville, Guy 1 Ciancio, Armando 1 Das, Abhishek 1 de Pablo, Arturo 1 Dehghan Takht Fooladi, Mehdi 1 Demidov, Alexandre Sergeevich 1 Fakhar-Izadi, Farhad 1 Fonareva, A. V. 1 François, Jean 1 Frolovitchev, Serguei M. 1 Fushchych, Vil’gel’m Illich 1 Galitsyn, A. S. 1 Gamkrelidze, Revaz Valerianovich 1 Garcia Alvarado, Martin G. 1 Garg, Naveen Kumar 1 Ge, Jianjun 1 Gilding, Brian H. 1 Gorbachev, A. V. 1 Gordon, Peter V. 1 Gowda, G. D. Veerappa 1 Grushin, V. V. 1 Han, Xinli 1 Hao, Jin 1 He, Fen 1 Heydari, Mohammad Hossien ...and 121 more Authors all top 5 Cited in 88 Serials 21 Russian Journal of Mathematical Physics 20 Mathematical Notes 18 Journal of Mathematical Sciences (New York) 12 Journal of Mathematical Analysis and Applications 11 Journal of Differential Equations 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Mathematical Physics 8 Applicable Analysis 7 Theoretical and Mathematical Physics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Abstract and Applied Analysis 6 Doklady Mathematics 5 Mathematical Methods in the Applied Sciences 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 4 Applied Mathematics and Computation 4 European Journal of Mechanics. B. Fluids 4 Journal of Nonlinear Mathematical Physics 3 Journal of Computational Physics 3 Chaos, Solitons and Fractals 3 Quarterly of Applied Mathematics 3 Siberian Mathematical Journal 3 Acta Applicandae Mathematicae 3 Communications in Nonlinear Science and Numerical Simulation 3 Differential Equations 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Boundary Value Problems 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 International Journal of Mathematics 2 Computational Mathematics and Mathematical Physics 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Differential Equations and Applications 2 Advances in Mathematical Physics 2 Open Mathematics 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Functional Analysis and its Applications 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Doklady Akademii Nauk 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 Filomat 1 Bulletin des Sciences Mathématiques 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Mathematics and Mechanics of Solids 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Matematicheskie Trudy 1 Doklady Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Applications and Applied Mathematics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics 1 Ural Mathematical Journal all top 5 Cited in 34 Fields 218 Partial differential equations (35-XX) 99 Fluid mechanics (76-XX) 24 Numerical analysis (65-XX) 19 Functional analysis (46-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year