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The fundamental problem of the decelerating laminar boundary layer defined in the title has been analyzed theoretically. The original, phenomenological viscous diffusion theory and the numerical analysis using a rational nondimensionalizing scaling technique based on the said phenomenological theory, which were both developed in our previous research for the simpler, linearly retarded flows on a semi-infinite flat plate and near a front stagnation point, are expanded and applied successively to the present problem. As the result the interesting flow behaviors of the decelerating stagnation boundary layer over the whole time region from the far past to the deceleration terminal at which the wall has just stopped, and further up to the distant future where the wall is permanently at rest, have been clarified not only numerically but also phenomenologically

The fundamental problem of the decelerating laminar boundary layer defined in the title has been analyzed theoretically. The original, phenomenological viscous diffusion theory and the numerical analysis using a rational nondimensionalizing scaling technique based on the said phenomenological theory, which were both developed in our previous research for the similar unsteady problem of a linearly retarded semi-infinite flat plate, are applied successively to the present problem. As the result the interesting flow behaviors of the decelerating stagnation boundary layer over the entire time region from the distant past to the deceleration terminal at which the wall has just stopped, and further up to the distant future where the wall is continuously at rest, have been clarified not only numerically but also phenomenologically.