49 citations · 92 across the 17 of their papers we have counts for
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Piecewise analytic bodies in subsonic potential flow
Volker Elling
We prove that there are no nonzero uniformly subsonic potential flows around bodies with three or more protruding corners, for piecewise analytic boundary and for equation of state…
Nonexistence of compressible irrotational inviscid flows along infinite protruding corners
Volker Elling
We consider inviscid flow with isentropic coefficient greater than one. For flow along smooth infinite protruding corners we attempt to impose a nonzero limit for velocity at infin…
Subsonic irrotational inviscid flow around certain bodies with two protruding corners
Volker Elling
We prove non-existence of nontrivial uniformly subsonic inviscid irrotational flows around several classes of solid bodies with two protruding corners, in particular vertical and a…
Nonexistence of irrotational flow around solids with protruding corners
Volker Elling
We motivate and discuss several recent results on non-existence of irrotational inviscid flow around bounded solids that have two or more protruding corners, complementing classica…
Relative entropy and compressible potential flow
Volker Elling
Compressible (full) potential flow is expressed as an equivalent first-order system of conservation laws for density and velocity . Energy is shown to be the only nontri…
Algebraic spiral solutions of 2d incompressible Euler
Volker Elling
We consider self-similar solutions of the 2d incompressible Euler equations. We construct a class of solutions with vorticity forming algebraic spirals near the origin, in analogy…