Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
11.11.1945
Keywords: hyperbolic systems,
energy integrals,
stability of strong discontinuities,
numerical analysis,
mathematical modelling in continuum mechanics,
Sobolev-type system,
weakened solution,
local- and global-in-time existence,
Lyapunov's asymptotic stability,
stabilization method.
Subject:
The local (short-time) theorem on the existence and uniqueness of the classical solution to the quasilinear system of gas dynamics behind a shock wave was proved. The stability of strong discontinuities in different mathematical models of continuum mechanics was studied. The method of lines for gas dynamics was worked out and justified.
Main publications:
Blokhin A. M., Romano V., Trakhinin Yu. L. Stability of shock waves in relativistic radiation hydrodynamics // Ann. Inst. H. Poincare Phys. Theor. 67(1997), no. 2, 145–180.
Blokhin A. M., Trakhinin Yu. L. Stability of strong discontinuities in fluids and MHD // In: Handbook of Mathematical Fluid Dynamics, vol. 1 (S. Friedlander, D. Serre, eds.), Elsevier, 2002.
