The existence theorem of weak solution for the initial-boundary problem for Oskolkov's system of equations
 
 
Description:  In the talk, the existence of weak solutions of the initial-boundary value problem describing the motion of weakly concentrated aqueous solutions of polymers (Oskolkov's system) is proved. The proof is based on the approximation-topological approach. On the first step, the operator equation equivalent to the weak formulation of the problem is approximated by another operator equation with "good" properties, and the solvability of this equation is proved. At the second step, it is shown that from a sequence of solutions of approximation problem it is possible to extract a subsequence that weakly converges to the solution of the original problem as the approximation parameter tends to zero.
Date:  2018-10-26
Start Time:   14:30
Speaker:  Mikhail Turbin (Voronezh State Univ., Russia)
Institution:  Voronezh State Univ., Russia
Place:  Sala 5.5
Research Groups: -Analysis
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