320 citations · 995 across the 29 of their papers we have counts for
6 papers · 1 filter
Lattice of 456 semigroup varieties from equations of order up to 4
Bruno Le Floch
We consider the 653 equational laws of order up to 4 for an associative binary operation, and all of their conjunctions. We determine that there are only 456 equivalence classes of…
Finite-energy spacetimes with torus symmetry. Cauchy stability of Einstein-Euler and Einstein-Navier-Stokes areal flows
Bruno Le Floch, Philippe G. LeFloch
We establish finite-energy Cauchy stability for vacuum and matter spacetimes with symmetry on , under general constitutive equations satisfying hyperbolicity and mild as…
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection
Bruno Le Floch, Philippe G. LeFloch
We study the global evolution problem for the Einstein equations under T2 symmetry on T3, allowing vacuum, scalar-field, and compressible-fluid matter models, governed by a general…
Implication semilattice of 990 quasigroup equational laws
Bruno Le Floch
In his quest to disprove a claim by Peirce that all lattices are distributive, Ernst Schröder considered 135 years ago a list of 990 equational laws on quasigroups, analogous to as…
Convergence of Nekrasov instanton sum with adjoint matter
Bruno Le Floch
The Nekrasov instanton partition function of the 4d gauge theory (a mass deformation of 4d super-Yang-Mills theory), which is a generating…
Scattering laws for interfaces in self-gravitating matter flows
Bruno Le Floch, Philippe G. LeFloch
We consider the evolution of self-gravitating matter fields that may undergo phase transitions, and we connect ideas from phase transition dynamics with concepts from bouncing cosm…