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Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Transonic Euler Shocks Global Stability Quasi-One-Dimensional Nozzles Analysis of PDEs
2011/9/22
Abstract: We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzl...
Fractal curvature measures and Minkowski content for one-dimensional self-conformal sets
Fractal curvature measures Minkowski one-dimensional self-conformal sets
2011/2/28
We investigate intrinsic geometric properties of invariant sets of one-dimensional conformal iterated function systems. We show that for such a set F the fractal cur-vature measures exist, if and only...