Lagrangian singularities of steady two-dimensional flow
نویسندگان
چکیده
منابع مشابه
Two-dimensional Lagrangian singularities and bifurcations of gradient lines I
Motivated by mirror symmetry, we consider a Lagrangian fibration X → B and Lagrangian maps f : L →֒ X → B, when L has dimension 2, exhibiting an unstable singularity, and study how their caustic changes, in a neighbourhood of the unstable singularity, when slightly perturbed. The integral curves of ∇fx, for x ∈ B, where fx(y) = f(y)−x ·y, called “gradient lines”, are then introduced, and a study...
متن کاملTwo-dimensional Lagrangian singularities and bifurcations of gradient lines II
Motivated by mirror symmetry, we consider the Lagrangian fibration R → R and Lagrangian maps f : L →֒ R → R, exhibiting an unstable singularity, and study how the bifurcation locus of gradient lines, the integral curves of ∇fx, for x ∈ B, where fx(y) = f(y) − x · y, changes when f is slightly perturbed. We consider the cases when f is the germ of a fold, of a cusp and, particularly, of an ellipt...
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ژورنال
عنوان ژورنال: Geophysical & Astrophysical Fluid Dynamics
سال: 2005
ISSN: 0309-1929,1029-0419
DOI: 10.1080/03091920412331312411