Displaying similar documents to “Steady vortex flows obtained from a constrained variational problem.”

A nonlocal singular perturbation problem with periodic well potential

Matthias Kurzke (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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For a one-dimensional nonlocal nonconvex singular perturbation problem with a noncoercive periodic well potential, we prove a Γ -convergence theorem and show compactness up to translation in all L p and the optimal Orlicz space for sequences of bounded energy. This generalizes work of Alberti, Bouchitté and Seppecher (1994) for the coercive two-well case. The theorem has applications to a certain thin-film limit of the micromagnetic energy.

On the variational inequality approach to compressible flows via hodograph method.

Lisa Santos (1993)

Revista Matemática de la Universidad Complutense de Madrid

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We study the flow of a compressible, stationary and irrotational fluid with wake, in a channel, around a convex symmetric profile, with assigned velocity q-infinity at infinity and q-s < q-infinity at the wake. In particular, we study the regularity of the free boundary (for a problem which has non-constant coefficients), in the hodograph plane.