Đề tài " Formation of singularities for a transport equation with nonlocal velocity " potx

... 2004)Annals of Mathematics Formation of singularities for a transport equation with nonlocal velocity By Antonio Córdoba, Diego Córdoba, and Marco A. Fontelos Annals of Mathematics, ... 1377–1389 Formation of singularities for a transport equation with nonlocal velocity By Antonio Córdoba∗, Diego Córdoba∗∗, and Marco A. Fontelos∗∗*AbstractWe study a 1D transport equation ... property of being ill-posed for general initial data. A linear analysis of small perturbations of planar sheets leads to catastrophically growing dispersion relations. Severalattempts at regularization...

Đề tài " Propagation of singularities for the wave equation on manifolds with corners " ppt

... 749–812Propagation of singularities for the wave equation on manifolds with cornersBy András Vasy*AbstractIn this paper we describe the propagation of C∞and Sobolev singularities for the wave equation ... As is clear from the completion definition,Annals of Mathematics Propagation of singularities for the wave equation on manifolds with corners By Andr_as Vasy* PROPAGATION OF SINGULARITIES ... theproofs in an appropriately rearranged, and less transparent, form) the proofs in758 ANDRÁS VASYthe body of the paper are primarily written for Dirichlet boundary conditions,and the...

Tài liệu Đề tài " Localization of modules for a semisimple Lie algebra in prime characteristic " pdf

... the AzumayaalgebrasDXand τ∗ν(DX) are canonically equivalent.Proof. Recall that to establish an equivalence between two Azumaya al-gebras A, A on a scheme Y (i.e. an equivalence ... paper [BMR2]. The main result is obtained for a regular Harish-Chandra central character, and the most interesting case is that of an integral Harish-Chandra central character; integral regular ... that a full triangulated subcategory in a Calabi-Yau category with respect to some algebra O is again a Calabi-Yaucategory with respect to O. Therefore, (2) follows from Corollary 3.4.2(b) andLemmas...

Tài liệu Đề tài " Decay of geometry for unimodal maps: An elementary proof " doc

... Graczyk, D. Sands, and G.´Swia¸tek, Decay of geometry for unimodal maps: NegativeSchwarzian case, Ann. of Math. 161 (2005), 613–677.[4]———, Metric attractors for smooth unimodal maps, Ann. ... 2002)(Revised August 10, 2004)Annals of Mathematics, 163 (2006), 383–404Decay of geometry for unimodal maps:An elementary proofBy Weixiao ShenAbstractWe prove that a nonrenormalizable smooth unimodal ... interval map with critical order between 1 and 2 displays decay of geometry, by an elementaryand purely “real” argument. This completes a “real” approach to Milnor’sattractor problem for smooth...

Đề tài " Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature " pdf

... will make use of two kinds of localization methods. The ﬁrst one is a fairly elementary consequence of the monotonicity formula and can be statedas follows.CONVERGENCE OF THE PARABOLIC GL -EQUATION 61Proposition ... 1. As mentioned earlier, some of them arealready available in the literature. We will adapt their statements to our needs.Note that all the results in this section remain valid for vector-valued ... 4∇χ2L∞suppχeε(uε).(2.3)Annals of Mathematics Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature By F. Bethuel, G. Orlandi, and D. Smets CONVERGENCE OF THE PARABOLIC...

Đề tài " Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing " pdf

... that the set Z∞contains all ele-ments of the form n1 a 1+ n2 a 2 with n1and n2in Z \ [−L, L].Proof. We may assume without loss of generality that |a 1| > |a 2| andthat a 1 ,a 2 ... Clearly there exist probability measures ¯ν,¯µ, ν A , andµ A such that ν A (A) =µ A (A) = 1 and such that µ =(1− α)¯µ + αµ A andν =(1− α)¯ν + αν A . From the invariance of the measures µ and ... completes the proof of Propo-sition 4.4.Annals of Mathematics Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing By Martin Hairer and Jonathan C. Mattingly ...

Tài liệu THE IMPORTANCE OF SOLITUDE FOR A BALANCED LIFE ppt

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Tài liệu Essay Writing for a Score of 6.0 on the TOEFL and TWE pdf

... body paragraphs of the essay. 1. it is more personal and homey, 2. it is easier to get around in, and 3. it is safer than a big city. For more material and information, please visit Tai Lieu ... borrow a cup of sugar. The lady was very nice and asked me in for tea. We had a geat chat. She reminded me of my mother and home. Now practice writing good body paragraphs on the last two reasons: ... idea for teenagers to have jobs while they are students because they can learn about responsibility; they can learn the value of money and they can learn how to work as a member of a team....

Đề tài " Integrality of a ratio of Petersson norms and level-lowering congruences " pot

... Recall that such anembedding gives an algebraic map K×→ D×and hence a map j A : K× A → D× A .In what follows we think of K× A as a subgroup of D× A via this embedding. Letχbe an algebraic ... ϕ1.Annals of Mathematics, 163 (2006), 901–967Integrality of a ratio of Petersson normsand level-lowering congruencesBy Kartik PrasannaTo Bidisha and AnanyaAbstractWe prove integrality of the ... χλas a character of Gal(K/K) and we shall use the samesymbol to denote both the character on the ideles and the Galois group. For the rest of this article, by a Grossencharacter of K we shall...

Đề tài " An isoperimetric inequality for logarithmic capacity of polygons " potx

... University of Arkansas,Fayetteville, ARE-mail address: solynin@uark.eduThe Weizmann Institute of Science, Rehovot, IsraelE-mail address: victorzalgaller@weizmann.ac.ilLOGARITHMIC CAPACITY OF POLYGONS ... boundary segment that isan entire side of at least one of these triangles but not necessarily of both of them;3) T1and Tmeach has a common boundary segment with ∂T \ [a 1 ,a 2].290 ALEXANDER ... isoperimetric inequality for logarithmic capacity of polygonsBy Alexander Yu. Solynin and Victor A. Zalgaller*AbstractWe verify an old conjecture of G. P´olya and G. Szeg˝o saying that theregular n-gon...

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