Sökning: "hyperbolicity"

Hittade 4 avhandlingar innehållade ordet hyperbolicity.

1. 1. Computational Characterization of Mixing in Flows

   Författare :Erik D. Svensson; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; mixing; hyperbolicity; shadowing; finite elements; flow simulation; a priori error estimates; Stokes equations; point location; multigrid; refinements; mixing;

   Sammanfattning : The major theme of this thesis is mathematical aspects of fluid mixing in the case when diffusion is negligible, which is commonly refered to as ’mixing by stirring’ or ’mixing by chaotic advection’ in the engineering literature. In this case the mixing is driven by a velocity field and is characterized by the flow generated by the velocity field. LÄS MER

3. 2. Holomorphic embeddings and applications

   Författare :Sam Lodin; Frank Kutzschebauch; Jörgen Boo; Frank Wikström; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Anders´en-Lempert-theory; holomorphic embeddings; Eisenman hyperbolicity; holomorphic group actions; plurisubharmonic extension; analytic polyhedron; MATHEMATICS; MATEMATIK;

   Sammanfattning : In the first part of this thesis we consider the question of the number of equivalenceclasses of holomorphic embeddings of Ck into Cn. We show the existence of holomorphicfamilies of proper holomorphic embeddings of Ck into Cn (0 < k < n−1),such that members of the family are pairwise nonequivalent in a suitable sense. LÄS MER

4. 3. Properties of invariant sets in certain two-dimensional dynamical systems : Renormalization and beyond

   Författare :Dan Lilja; Denis Gaidashev; Konstantin Khanin; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Dynamical systems; renormalization; area-preserving maps; unbounded geometry; almost commuting pairs; universality; non-rigidity;

   Sammanfattning : This thesis consists of an introduction and four research papers concerning dynamical systems, focusing on renormalization in two dimensions.Paper I (joint with Jordi-Lluís Figueras) studies a generalization of the anti-integrable limit of skew-product systems based on a Frenkel-Kontorova model. LÄS MER

5. 4. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros

   Författare :Innocent Ndikubwayo; Boris Shapiro; Rikard Bögvad; Tamás Forgacs; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; real-rooted polynomials; generating functions; discriminants; Tran s conjecture; Toeplitz matrices; Mathematics; matematik;

   Sammanfattning : In this thesis, we study the problem of location of the zeros of individual polynomials in sequences of polynomials generated by linear recurrence relations.In paper I, we establish the necessary and sufficient conditions that guarantee hyperbolicity of all the polynomials generated by a three-term recurrence of length 2, whose coefficients are arbitrary real polynomials. LÄS MER