| Theory of p-adic distributions: linear and nonlinear models S Albeverio, VM Shelkovich Cambridge University Press, 2010 | 283 | 2010 |
| 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 | 273 | 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 | 191 | 2005 |
| δ′-Shock waves as a new type of solutions to systems of conservation laws EY Panov, VM Shelkovich Journal of Differential Equations 228 (1), 49-86, 2006 | 155 | 2006 |
| 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 | 140 | 2003 |
| p-Adic refinable functions and MRA-based wavelets AY Khrennikov, VM Shelkovich, M Skopina Journal of Approximation Theory 161 (1), 226-238, 2009 | 118 | 2009 |
| The Riemann problem admitting δ-, δ′-shocks, and vacuum states (the vanishing viscosity approach) VM Shelkovich Journal of Differential Equations 231 (2), 459-500, 2006 | 114 | 2006 |
| Harmonic analysis in the p-adic Lizorkin spaces: fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems S Albeverio, AY Khrennikov, VM Shelkovich Journal of Fourier Analysis and Applications 12, 393-425, 2006 | 108 | 2006 |
| p-Adic Haar Multiresolution Analysis and Pseudo-Differential Operators V Shelkovich, M Skopina Journal of Fourier Analysis and Applications 15, 366-393, 2009 | 83 | 2009 |
| Non-Haar p-adic wavelets and their application to pseudo-differential operators and equations AY Khrennikov, VM Shelkovich Applied and Computational Harmonic Analysis 28 (1), 1-23, 2010 | 70 | 2010 |
| Propagation and interaction of shock waves of quasilinear equation VG Danilov, VM Shelkovich arXiv preprint math-ph/0012003, 2000 | 64 | 2000 |
| -and-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes VM Shelkovich Russian Mathematical Surveys 63 (3), 473, 2008 | 62* | 2008 |
| Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks B Nilsson, VM Shelkovich Applicable Analysis 90 (11), 1677-1689, 2011 | 58 | 2011 |
| 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 | 53 | 1998 |
| p-Adic orthogonal wavelet bases AY Khrennikov, VM Shelkovich, M Skopina p-Adic Numbers Ultrametric Anal. Appl. 1 (2), 145-156, 2009 | 45 | 2009 |
| Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II B Nilsson, OS Rozanova, VM Shelkovich Applicable Analysis 90 (5), 831-842, 2011 | 44 | 2011 |
| On the delta-shock front problem S Albeverio, VM Shelkovich Analytical approaches to multidimensional balance laws 2, 45-87, 2006 | 36 | 2006 |
| An infinite family of p-adic non-Haar wavelet bases and pseudo-differential operators AY Khrennikov, VM Shelkovich P-Adic Numbers, Ultrametric Analysis, and Applications 1 (3), 204-216, 2009 | 30 | 2009 |
| 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 | 30 | 2003 |
| Delta-shock waves of a class of hyperbolic systems of conservation laws VM Shelkovich Patterns and Waves, AkademPrint, St. Petersburg, 155-168, 2003 | 29 | 2003 |
