Search Constraints

Start Over
Filtering by: Creator Dascaliuc, R. Remove constraint Creator: Dascaliuc, R. Rights Statement In Copyright Remove constraint Rights Statement: In Copyright

Search Results

  • On the Existence of Solutions to the Incompressible Navier-Stokes Equations with Constant Energy and Enstrophy

    Creator:
    Hagen, Sarah S.
    Abstract:
    In this dissertation, we use Fourier-analytic and spectral theory methods to analyze the behavior of solutions of the incompressible Navier-Stokes equations in 2D and 3D (with an eye towards better understanding turbulence). In particular, we investigate the possible existence of so-called ghost solutions to the Navier-Stokes Equations. Such solutions, if...
    Resource Type:
    Dissertation
    Full Text:
    approved: Radu Dascaliuc In this dissertation, we use Fourier-analytic and spectral theory methods to

  • A local perturbation problem of the 3D Navier-Stokes equations

    Creator:
    Zeng, Jhih-Jyun
    Abstract:
    This dissertation explores mathematical theory of the 3 dimensional incompressible Navier-Stokes equations that consists a set of partial differential equations which govern the motion of Newtonian fluids and can be seen as Newton's second law of motion for fluids. The main interest of this work focuses on how local perturbation...
    Resource Type:
    Dissertation
    Full Text:
    Perturbation Problem of the 3D Navier-Stokes Equations Abstract approved: Radu Dascaliuc This dissertation

  • Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations

    Creator:
    Dascaliuc, Radu, Michalowski, Nicholas, Thomann, Enrique, and Waymire, Edward C.
    Abstract:
    The present article establishes connections between the structure of the deterministic Navier-Stokes equations and the structure of (similarity) equations that govern self-similar solutions as expected values of certain naturally associated stochastic cascades. A principle result is that explosion criteria for the stochastic cascades involved in the probabilistic representations of solutions...
    Resource Type:
    Article
    Full Text:
    equations Dascaliuc, R., Michalowski, N., Thomann, E., & Waymire, E. C. (2015). Symmetry breaking and

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    Dascaliuc and Benjamin Dalziel for their time and suggestions. Personal I wish to thank my friends and

  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    , representing Mathematics (University of Minnesota) Radu Dascaliuc, Committee Member, representing Mathematics

  • Characterization of binary trees

    Creator:
    Brandstetter, Griffin
    Abstract:
    In "Level Number Sequences for Trees" Flagotet and Prodinger investigate the problem of counting the number of level number sequences associated to binary trees of $n$ binary nodes. I convert this problem into terms of exterior nodes or "leaves" and leaf number sequences. "Polynomial representation" is then defined to address...
    Resource Type:
    Honors College Thesis
    Full Text:
    on June 01, 2023. APPROVED: Enrique Thomann, Mentor, representing Mathematics Radu Dascaliuc

  • Predicting the most likely state for a basic geophysical flow : theoretical framework

    Creator:
    Duran, Rodrigo
    Abstract:
    Statistical mechanics studies the probability that a system is in a certain state given one or more constraints which are usually fixed conserved quantities. It is a particularly useful and powerful approach for problems with a large number of degrees of freedom where a complete knowledge of the system is...
    Resource Type:
    Capstone Project
    Full Text:
    . Nathan L. Gibson and Dr. Radu Dascaliuc Department of Mathematics Oregon State University Kidder Hall

  • Arithmetic dynamical questions with local rationality conditions

    Creator:
    Noytaptim, Chatchai
    Abstract:
    We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
    Resource Type:
    Dissertation
    Full Text:
    completely over R (respectively, Qp). First, we classify all unicritical polynomials of the form xd + c

  • Coastal ocean variability inferred from high resolution models : two case studies

    Creator:
    Mauch, Matthew L.
    Abstract:
    In this thesis, high resolution ocean models are used to evaluate and forecast coastal ocean variability in two different applications. In the first study, the 2-km resolution ocean circulation model for the Eastern Bering Sea is utilized to understand whether slope-interior exchange along the path of the Aleutian North Slope...
    Resource Type:
    Masters Thesis
    Full Text:
    :                                       s R Cs T H K ss T y vTH x uTH t TH pz Tzzz  1)()()()( , (1) where 𝑥

  • Stability Analysis of Coupled Discrete Time Systems On an Invariant Cone

    Creator:
    Fletcher, Sally
    Abstract:
    This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the...
    Resource Type:
    Masters Thesis
    Full Text:
    , where a, b, c, d ∈ R. Then the eigenvalues of A are given by λ± = (a+ d)± √ (a+ d)2 − 4(ad− bc) 2