398 citations · 915 across the 7 of their papers we have counts for
7 papers
Metamorphoses of the flow past an obstacle of a resonantly-driven bistable polariton fluid
Vincent Hakim, Simon Pigeon, Amandine Aftalion
Motivated by recent experiments, we theoretically analyze the flow past an obstacle of a one-dimensional "quantum fluid of light" which is resonantly driven, and exhibits bistabili…
Laws of crack motion and phase-field models of fracture
Vincent Hakim, Alain Karma
Recently proposed phase-field models offer self-consistent descriptions of brittle fracture. Here, we analyze these theories in the quasistatic regime of crack propagation. We show…
Crack Path Prediction in Anisotropic Brittle Materials
Vincent Hakim, Alain Karma
A force balance condition to predict quasistatic crack paths in anisotropic brittle materials is derived from an analysis of diffuse interface continuum models that describe both s…
Scroll waves in isotropic excitable media : linear instabilities, bifurcations and restabilized states
Herve Henry, Vincent Hakim
Scroll waves are three-dimensional analogs of spiral waves. The linear stability spectrum of untwisted and twisted scroll waves is computed for a two-variable reaction-diffusion mo…
Giant vortices in the Ginzburg-Landau description of superconductivity
Vincent Hakim, Anaël Lemaître, Kirone Mallick
Recent experiments on mesoscopic samples and theoretical considerations lead us to analyze multiply charged () vortex solutions of the Ginzburg-Landau equations for arbitrary…
Linear Stability of Scroll Waves
H. Henry, V. Hakim
A full linear stability of a straight scroll wave in an excitable medium is presented. The five eigenmode branches which correspond to deformation in the third dimension of the fiv…