Dynamics of propagation and interaction of δ-shock waves in conservation law systems VG Danilov, VM Shelkovich Journal of Differential Equations 211 (2), 333-381, 2005 | 260 | 2005 |
Delta-shock wave type solution of hyperbolic systems of conservation laws V Danilov, V Shelkovich Quarterly of Applied Mathematics 63 (3), 401-427, 2005 | 188 | 2005 |
Mathematical modelling of heat and mass transfer processes VG Danilov, VP Maslov, KA Volosov Springer Science & Business Media, 2012 | 149 | 2012 |
Weak asymptotics method and interaction of nonlinear waves VG Danilov, GA Omel'Yanov, VM Shelkovich Translations of the American Mathematical Society-Series 2 208, 33-164, 2003 | 136 | 2003 |
Delta shock wave formation in the case of triangular hyperbolic system of conservation laws VG Danilov, D Mitrovic Journal of Differential Equations 245 (12), 3704-3734, 2008 | 117 | 2008 |
Mathematical Modeling of Heat and Mass Transfer Processes (Evolution of Dissipative Structures) VP Maslov, VG Danilov, KA Volosov Nauka: Moscow (Russian). Zb1 645, 73049, 1987 | 85 | 1987 |
Hugoniot-type conditions and weak solutions to the phase-field system VG Danilov, GA Omel'yanov, EV Radkevich European Journal of Applied Mathematics 10 (1), 55-77, 1999 | 68 | 1999 |
Propagation and interaction of shock waves of quasilinear equation VG Danilov, VM Shelkovich arXiv preprint math-ph/0012003, 2000 | 64 | 2000 |
Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems VG Danilov, VP Maslov, VM Shelkovich Theoretical and mathematical physics 114 (1), 1-42, 1998 | 52 | 1998 |
Generalized solutions describing singularity interaction VG Danilov International Journal of Mathematics and Mathematical Sciences 29, 481-494, 2002 | 36 | 2002 |
Weak asymptotics method and the interaction of infinitely narrow δ-solitons VG Danilov, GA Omel'yanov Nonlinear Analysis: Theory, Methods & Applications 54 (4), 773-799, 2003 | 34 | 2003 |
Weak asymptotics of shock wave formation process V Danilov, D Mitrovic Nonlinear Analysis: Theory, Methods & Applications 61 (4), 613-635, 2005 | 33 | 2005 |
Propagation and interaction of delta-shock waves of a hyperbolic system of conservation laws VG Danilov, VM Shelkovich Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the …, 2003 | 31 | 2003 |
Exact asymptotics of the density of the transition probability for discontinuous Markov processes VG Danilov, SM Frolovitchev Mathematische Nachrichten 215 (1), 55-90, 2000 | 30 | 2000 |
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process D Mitrovic, V Bojkovic, VG Danilov Mathematical methods in the applied sciences 33 (7), 904-921, 2010 | 27 | 2010 |
Generalized solutions of nonlinear differential equation and the maslov algebras of distributions VG Danilov, VM Shelkovich Integral Transforms and Special Functions 6 (1-4), 171-180, 1998 | 27 | 1998 |
Asymptotic behavior of the solution of a phase field system, and a modified Stefan problem VG Danilov, GA Omelʹyanov, EV Radkevich Differentsialʹnye Uravneniya 31, 483-491, 1995 | 27* | 1995 |
Wave solutions of semilinear parabolic equations VG Danilov, PY Subochev Teoreticheskaya i Matematicheskaya Fizika 89 (1), 25-47, 1991 | 27 | 1991 |
Asymptotic and numerical analysis of the flow around a plate with small periodic irregularities VG Danilov, MV Makarova Russ. J. Math. Phys 2 (1), 49-56, 1994 | 26 | 1994 |
Propagation and interaction of nonlinear waves to quasilinear equations VG Danilov, VM Shelkovich Hyperbolic Problems: Theory, Numerics, Applications: Eighth International …, 2001 | 23 | 2001 |