A non-stationary model of oxygen transport in brain is studied. The
model comprises two coupled, non-linear partial differential equations
describing the oxygen concentration in the blood and tissue phases.
Thus, the model is the so-called continuum one, where the blood and
tissue fractions occupy the same spatial domain. A priori estimates of
solutions are obtained, and an iterative procedure for finding them is
proposed. The convergence of this method to a unique weak solution of
the problem is proven. A numerical example illustrates the theoretical
analysis.
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A non-stationary model of oxygen transport in brain is studied. The
model comprises two coupled, non-linear partial differential equations
describing the oxygen concentration in the blood and tissue phases.
Thus, the model is the so-called continuum one, where the blood and
tissue fractions occupy the same spatial domain. A priori estimates of
solutions are obtained, and an iterative procedure for finding them is
proposed. The convergence of this method to a unique weak solution of
the problem i...
»