conservation laws and systems,
degenerate parabolic equations,
entropy and renormalized solutions,
finite volume methods.
Analysis of nonlinear PDEs
(conservation laws, degenerate elliptic and parabolic problems). Theoretical numerical analysis (finite volume methods).
1991–1996 Moscow State University, mex-mat, chair of Diff. Equations;
1997–2000 PhD prepared in MSU (S. N. Kruzhkov) and in Franche-Comte University, France (Ph. Benilan);
2000–2003 Assistant professor, U. Marseilles;
2003– Assistant professor, U. Franche-Comte.
B. P. Andreianov, Ph. Benilan, S. N. Kruzhkov, “$L^1$-theory of scalar conservation law with continuous flux function”, J. Funct. Anal., 171:1 (2000), 15–33
B. P. Andreyanov, “On limits of solutions of the Riemann problem for a system of isentropic gas dynamics with viscosity in Euler coordinates”, Mat. Sbornik, 194:6 (2003), 3–22
B. A. Andreianov, M. Gutnic, P. Wittbold, “Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: a “continuous” approach”, SIAM J. Numer. Anal., 42:1 (2004), 228–251
B. Andreianov, F. Boyer, F. Hubert, “Discrete duality finite volume schemes for Leray-Lions-type elliptic problems on general 2D meshes”, Numer. Methods Partial Differential Equations, 23:1 (2007), 145–195
B. P. Andreianov, N. Igbida, “Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations”, Proc. Royal Soc. Edinburgh Sect. A, 137:6 (2007), 1119–1133
B. P. Andreianov, “On viscous limit solutions of the Riemann problem for the equations of isentropic gas dynamics in Eulerian coordinates”, Mat. Sb., 194:6 (2003), 3–22; Sb. Math., 194:6 (2003), 793–811
B. P. Andreianov, “The vanishing viscosity method and an explicit solution of the Riemann problem for a scalar conservation law”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, 1, 3–8