Danilov, V. G. Interaction of \(\delta\)-shock waves in a system of pressureless gas dynamics equations. (English) Zbl 1428.35218 Russ. J. Math. Phys. 26, No. 3, 306-319 (2019). MSC: 35L67 76N15 35L65 PDFBibTeX XMLCite \textit{V. G. Danilov}, Russ. J. Math. Phys. 26, No. 3, 306--319 (2019; Zbl 1428.35218) Full Text: DOI
Danilov, V. G. Nonsmooth nonoscillating exponential-type asymptotics for linear parabolic PDE. (English) Zbl 1516.35075 SIAM J. Math. Anal. 49, No. 5, 3550-3572 (2017). MSC: 35B40 35B25 35D30 41A60 PDFBibTeX XMLCite \textit{V. G. Danilov}, SIAM J. Math. Anal. 49, No. 5, 3550--3572 (2017; Zbl 1516.35075) Full Text: DOI
Danilov, V. G. Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter. (English) Zbl 1382.35123 Math. Nachr. 289, No. 7, 802-819 (2016). MSC: 35K45 35B25 35R25 PDFBibTeX XMLCite \textit{V. G. Danilov}, Math. Nachr. 289, No. 7, 802--819 (2016; Zbl 1382.35123) Full Text: DOI
Danilov, V. G.; Rudnev, V. Yu. The weak asymptotic solution of the phase field system in the case of confluence of free boundaries in the Stefan–Gibbs-Thomson problem. (English) Zbl 1083.35138 Nonlinear Bound. Value Probl. 15, 57-73 (2005). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35R35 80A22 35B25 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. Yu. Rudnev}, Nonlinear Bound. Value Probl. 15, 57--73 (2005; Zbl 1083.35138)
Danilov, V. G.; Shelkovich, V. M. Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems. (English) Zbl 1072.35121 J. Differ. Equations 211, No. 2, 333-381 (2005). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 35L65 76L05 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. M. Shelkovich}, J. Differ. Equations 211, No. 2, 333--381 (2005; Zbl 1072.35121) Full Text: DOI
Danilov, V. G.; Shelkovich, V. M. Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws. (English. Russian original) Zbl 1129.35440 Dokl. Math. 69, No. 1, 4-8 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 10-14 (2004). MSC: 35L67 35L65 35L45 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. M. Shelkovich}, Dokl. Math. 69, No. 1, 4--8 (2004; Zbl 1129.35440); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 1, 10--14 (2004)
Danilov, V. G.; Omel’yanov, G. A. Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. (English) Zbl 1040.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 4, 773-799 (2003). Reviewer: Il’ya Sh. Mogilevskij (Tver) MSC: 35Q53 37K40 35G25 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 4, 773--799 (2003; Zbl 1040.35092) Full Text: DOI
Danilov, V. G.; Frolovichev, S. M. The exponential asymptotics of solutions of the Kolmogorov-Feller equation. (English. Russian original) Zbl 1020.35127 Differ. Equ. 37, No. 9, 1340-1344 (2001); translation from Differ. Uravn. 37, No. 9, 1273-1276 (2001). Reviewer: Stanislaw Wedrychowicz (Rzeszów) MSC: 35R60 35B40 35A08 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{S. M. Frolovichev}, Differ. Equ. 37, No. 9, 1340--1344 (2001; Zbl 1020.35127); translation from Differ. Uravn. 37, No. 9, 1273--1276 (2001) Full Text: DOI
Danilov, Vladimir G.; Frolovitchev, Serguei M. Exact asymptotics of the density of the transition probability for discontinuous Markov processes. (English) Zbl 0963.35036 Math. Nachr. 215, 55-90 (2000). Reviewer: Ya.I.Belopolskaya (St.Peterburg) MSC: 35C20 35S10 60J35 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{S. M. Frolovitchev}, Math. Nachr. 215, 55--90 (2000; Zbl 0963.35036) Full Text: DOI
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. Phase transition in a phase field system. (English. Russian original) Zbl 0964.35162 Dokl. Math. 55, No. 1, 121-124 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731-734 (1997). MSC: 35Q72 35R35 35K20 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Dokl. Math. 55, No. 1, 731--734 (1997; Zbl 0964.35162); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731--734 (1997)
Danilov, Vladimir G. A representation of the delta function via creation operators and Gaussian exponentials, and multiplicative fundamental solution asymptotics for some parabolic pseudodifferential equations. (English) Zbl 0945.58024 Russ. J. Math. Phys. 3, No. 1, 25-40 (1995), errata ibid. 4, No. 2, 272 (1996). MSC: 58J40 58J35 58J37 35S05 46F10 46N20 PDFBibTeX XMLCite \textit{V. G. Danilov}, Russ. J. Math. Phys. 3, No. 1, 25--40 (1995; Zbl 0945.58024)
Danilov, V. G.; Zhevandrov, P. N. On Maslov’s method for constructing combined asymptotics for h- pseudodifferential equations. (English. Russian original) Zbl 0703.35185 Math. USSR, Izv. 34, No. 2, 425-439 (1990); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 2, 411-424 (1989). Reviewer: Yu.V.Egorov MSC: 35S05 35C20 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{P. N. Zhevandrov}, Math. USSR, Izv. 34, No. 2, 425--439 (1990; Zbl 0703.35185); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 2, 411--424 (1989) Full Text: DOI
Danilov, V. G. Global formulae for solutions of quasilinear parabolic equations with a small parameter and ill-posedness. (Russian) Zbl 0736.35056 Mat. Zametki 46, No. 1, 115-117 (1989). MSC: 35K57 35C20 35R25 PDFBibTeX XMLCite \textit{V. G. Danilov}, Mat. Zametki 46, No. 1, 115--117 (1989; Zbl 0736.35056)
Danilov, V. G.; Maslov, V. P. Asymptotics of reaction-diffusion equations. (Russian) Zbl 0695.35101 Mat. Zametki 44, No. 1, 152-153 (1988). Reviewer: J.H.Tian MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{V. P. Maslov}, Mat. Zametki 44, No. 1, 152--153 (1988; Zbl 0695.35101)