Sökning: "Asymptotics of solutions"

Visar resultat 6 - 10 av 14 avhandlingar innehållade orden Asymptotics of solutions.

  1. 6. Homogenization of elliptic equations in thin cylinders and related qualitative problems

    Författare :Iryna Pankratova; Nils Svanstedt; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : The thesis consists of four closely related papers (A, B, C and D). Paper A concerns the study of the behaviour at infinity of solutions to second order elliptic equation with first order terms stated in a half-cylinder. LÄS MER

  3. 7. New Phenomena in the World of Peaked Solitons

    Författare :Marcus Kardell; Hans Lundmark; Stefan Rauch; Joakim Arnlind; Jonatan Lenells; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The aim of this work is to present new contributions to the theory of peaked solitons. The thesis consists of two papers,which are named “Newsolutionswith peakon creation in the Camassa–HolmandNovikov equations” and “Peakon-antipeakon solutions of the Novikov equation” respectively. LÄS MER

  4. 8. Integral inequalities of Hardy and Friedrichs types with applications to homogenization theory

    Författare :Yulia Koroleva; Andrey Piatniski; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This PhD thesis deals with some new integral inequalities of Hardy and Friedrichs types in domains with microinhomogeneous structure in a neighborhood of the boundary. The thesis consists of six papers (Paper A -- Paper F) and an introduction, which put these papers into a more general frame and which also serves as an overview of this interesting field of mathematics. LÄS MER

  5. 9. Waves and instabilities through the lens of asymptotic analysis

    Författare :Anthony Bonfils; John Wettlaufer; Dhrubaditya Mitra; Woosok Moon; Jerome Neufeld; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; waves; wrinkles; instabilities; Theoretical Physics; teoretisk fysik;

    Sammanfattning : Understanding the interaction of water waves with winds and marine currents is a fundamental problem in geophysical fluid dynamics. From the point of view of hydrodynamic stability, surface waves are regarded as perturbations of an inviscid parallel shear flow modeling the wind in the air and the current in the water. LÄS MER

  7. 10. Combinatorial Methods in Complex Analysis

    Författare :Per Alexandersson; Boris Shapiro; Alexandre Eremenko; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; combinatorics; Schrödinger equation; Toeplitz matrix; sums of squares; Schur polynomials; Mathematics; matematik;

    Sammanfattning : The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.Part A: Spectral properties of the Schrödinger equationThis part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. LÄS MER