TY - JOUR
AU - Pyatkov, S. G.
AB - In this paper, we consider the question on the well-posedness in Sobolev spaces of the problem of determining the source function in a heat and mass transfer system consisting of the Navier–Stokes system, a parabolic equation for temperature, and a parabolic system for the concentrations of substances being transferred. Weighted integrals of solutions over the spatial domain serve as overdetermination conditions. A local (in time) existence theorem for the solution of the problem in the nonlinear case is proved and stability estimates are obtained; for a linearized system, a global existence theorem is obtained.
TI - On Some Classes of Inverse Problems on Determining Source Functions for Heat and Mass Transfer Systems
JO - Journal of Mathematical Sciences
DO - 10.1007/s10958-025-07644-0
DA - 2025-02-01
UR - https://www.deepdyve.com/lp/springer-journals/on-some-classes-of-inverse-problems-on-determining-source-functions-VpIgKwLlzp
SP - 835
EP - 855
VL - 287
IS - 6
DP - DeepDyve
ER -