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Found 81 Documents (Results 1–81)

On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type. (English. Russian original) Zbl 1460.35053

Izv. Math. 85, No. 1, 111-144 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 118-153 (2021).
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The first boundary value problem for multidimensional pseudoparabolic equation of the third order in the domain with an arbitrary boundary. (English) Zbl 1452.65149

Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 169-186 (2020).
MSC:  65M06 65M12 65M15
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Boundary-value problem for a third-order hyperbolic equation that is degenerate inside a domain and contains the aller operator in the principal part. (English. Russian original) Zbl 1450.35163

J. Math. Sci., New York 250, No. 5, 780-787 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 64-71 (2018).
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Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating. (English. Russian original) Zbl 1437.35107

Izv. Math. 83, No. 6, 1174-1200 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 104-132 (2019).
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Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution. (English. Russian original) Zbl 1393.65007

Comput. Math. Math. Phys. 57, No. 12, 1973-1993 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 12, 2021-2041 (2017).
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Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients. (English. Russian original) Zbl 1358.65054

Comput. Math. Math. Phys. 56, No. 10, 1763-1777 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1780-1794 (2016).
MSC:  65M06 35K70 65M12
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A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation. (English. Russian original) Zbl 1327.65157

Comput. Math. Math. Phys. 54, No. 9, 1441-1458 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 9, 1497-1514 (2014).
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The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids. (English. Russian original) Zbl 1288.35005

J. Math. Sci., New York 168, No. 2, 157-308 (2010); translation from Sovrem. Mat., Fundam. Napravl. 31 (2009).
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On some three-dimensional variants of Goursat and Darboux problems for higher-order hyperbolic equations with dominating principal parts. (English. Russian original) Zbl 1180.35332

J. Math. Sci., New York 157, No. 1, 119-139 (2009); translation from Sovrem. Mat. Prilozh. 51 (2008).
MSC:  35L35
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Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type. (English. Russian original) Zbl 1221.35005

J. Math. Sci., New York 148, No. 1, 1-142 (2008); translation from Sovrem. Mat. Prilozh. 40 (2006).
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