ar X iv : 0 70 8 . 05 20 v 1 [ m at h . A P ] 3 A ug 2 00 7 Euler equations are not exactly controllable by a finite - dimensional external force
نویسنده
چکیده
We show that the Euler system is not exactly controllable by a finitedimensional external force. The proof is based on the comparison of the Kolmogorov ε-entropy for Hölder spaces and for the class of functions that can be obtained by solving the 2D Euler equations with various right-hand sides. AMS subject classifications: 35Q35, 93B05, 93C20
منابع مشابه
ar X iv : 0 70 7 . 03 46 v 1 [ m at h - ph ] 3 J ul 2 00 7 THE ONE - DIMENSIONAL SCHRÖDINGER - NEWTON EQUATIONS
We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations.
متن کاملar X iv : 0 70 8 . 05 14 v 1 [ m at h . G T ] 3 A ug 2 00 7 Invariants of genus 2 mutants
Pairs of genus 2 mutant knots can have different Homfly polynomials, for example some 3-string satellites of Conway mutant pairs. We give examples which have different Kauffman 2-variable polynomials, answering a question raised by Dunfield et al in their study of genus 2 mutants. While pairs of genus 2 mutant knots have the same Jones polynomial, given from the Homfly polynomial by setting v =...
متن کاملar X iv : 0 70 8 . 22 12 v 1 [ m at h . C O ] 1 6 A ug 2 00 7 Enumerative properties of NC ( B ) ( p , q )
We determine the rank generating function, the zeta polynomial and the Möbius function for the poset NC(p, q) of annular non-crossing partitions of type B, where p and q are two positive integers.
متن کاملar X iv : m at h / 05 02 57 3 v 7 [ m at h . A G ] 8 A ug 2 00 6 ON DEFORMATIONS OF FLAG MANIFOLDS WITH
Any (global) kähler deformation of a flag manifold F with b2 = 1 is biholomorphic to F .
متن کاملar X iv : 0 70 8 . 37 30 v 1 [ m at h . PR ] 2 8 A ug 2 00 7 DENSITIES FOR ROUGH DIFFERENTIAL EQUATIONS UNDER HÖRMANDER ’ S CONDITION
We consider stochastic differential equations dY = V (Y ) dX driven by a multidimensional Gaussian process X in the rough path sense. Using Malliavin Calculus we show that Yt admits a density for t ∈ (0, T ] provided (i) the vector fields V = (V1, ..., Vd) satisfy Hörmander’s condition and (ii) the Gaussian driving signal X satisfies certain conditions. Examples of driving signals include fract...
متن کامل