Boundary control problem for reaction--diffusion--convection equation with variable coefficients
Boundary control problem for reaction-diffusion-convection equation with variable coefficients
Siberian Electronic Mathematical Reports, 22, 1, pp. 623-634 (2025)
Abstract:
The global existence of a weak solution to inhomogeneous boundary value problem for the reaction-diffusion--convection equation with variable coefficients is proved.
The maximum and minimum principle for the substance's concentration is established. The solvability of the boundary control problem is proved on weak solutions of the boundary value problem under consideration.
Keywords: nonlinear reaction--diffusion--convection equation, variable coefficients, weak solution, maximum principle, boundary control problem, extremum problem.