01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
18.07.1959
E-mail:
Keywords:
homogenization; nonlinear boundary value problems; attractors; accumulators.
Main publications:
Bourgeat A., Chueshov I. D., Pankratov L. S. Homogenization of attractors for semilinear parabolic equations in domains with spherical traps // Comptes rendues de l'Academie des Sciences, serie I, 1999, v. 329, no. 1, p. 581–587.
Bourgeat A., Goncharenko M. V., Pankratov L. S., Panfilov M. B. A general double porosity model // Comptes rendues de l'Academie des Sciences, serie II b, 1999, v. 327, p. 1245–1250.
A. S. Voloshin, A. V. Konyukhov, L. S. Pankratov, “Homogenized model of two-phase capillary-nonequilibrium flows in a medium with double porosity”, Computer Research and Modeling, 15:3 (2023), 567–580
2003
2.
L. S. Pankratov, V. A. Rybalko, “Asymptotic analysis of a double porosity model with thin fissures”, Mat. Sb., 194:1 (2003), 121–146; Sb. Math., 194:1 (2003), 123–150
I. D. Chueshov, L. S. Pankratov, “Upper semicontinuity of attractors of semilinear parabolic equations with asymptotically degenerating coefficients”, Mat. Fiz. Anal. Geom., 6:1/2 (1999), 158–181
L. S. Pankratov, I. D. Chueshov, “Homogenization of attractors of non-linear hyperbolic equations with asymptotically degenerate coefficients”, Mat. Sb., 190:9 (1999), 99–126; Sb. Math., 190:9 (1999), 1325–1352
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