Singular Surfaces and Waves
Thus far we have considered “smooth” fields. When the hypothesis of smoothness is relaxed, any sort of singularity is possible. When we confine our attention to potential theory of classical hydrodynamics, the singularities of interest are point sources, dipoles, vortex lines, double layers, and the like. In gas dynamics, we are interested in another kind of singularity, the singular surface. We shall now study the kinematical properties of singular surfaces.
KeywordsMathematical Modeling Fluid Dynamics Point Source Double Layer Industrial Mathematic
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