Sökning: "Differential geometry"

Visar resultat 1 - 5 av 43 uppsatser innehållade orden Differential geometry.

  1. 1. Increasing the diodicity of ceramic Tesla valves by exploiting the design freedom of additive manufacturing : A study in design optimizations of Tesla valves for ceramic 3D printing

    Master-uppsats, Uppsala universitet/Institutionen för materialvetenskap

    Författare :Udit Sharma; [2024]
    Nyckelord :additive; manufacturing; Tesla; valve; ceramic; 3D; printing;

    Sammanfattning : The work presented in this thesis was conducted at Uppsala University and at Fraunhofer IKTS, Dresden. The thesis aims to study design optimizations for increasing the diodicity and thereby performance of a Tesla valve, a type of “no moving parts” (NMP) valve, through design freedoms offered by ceramic additive manufacturing. LÄS MER

  3. 2. Itô Diffusions on Level Sets

    Master-uppsats, Uppsala universitet/Analys och partiella differentialekvationer; Uppsala universitet/Statistik, AI och data science

    Författare :Coën Olofsson; [2023]
    Nyckelord :Itô diffusions; level sets; stochastic differential geometry; numerical schemes;

    Sammanfattning : Itô diffusions that move on level sets of functions in Rn, which we have called level processes, are an overlooked variant of the classical Itô processes. These processes find themselves nestled between the study of regular Itô diffusions in Rn and diffusions which are bound to smooth manifolds. LÄS MER

  4. 3. Spectral sequences for composite functors

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Adam Erlandsson; [2022]
    Nyckelord :Algebraic topology; homological algebra; spectral sequences; fibrations; derived functors; derived categories; Algebraisk topologi; homologisk algebra; spektralsekvenser; fibreringar; deriverade funktorer; deriverade kategorier;

    Sammanfattning : Spectral sequences were developed during the mid-twentieth century as a way of computing (co)homology, and have wide uses in both algebraic topology and algebraic geometry.  Grothendieck introduced in his Tôhoku paper the Grothendieck spectral sequence, which given left exact functors $F$ and $G$ between abelian categories, uses the right-derived functors of $F$ and $G$ as initial data and converges to the right-derived functors of the composition $G\circ F. LÄS MER

  5. 4. Jet fragmentation in shaped charges

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Joakim Ericson; [2022]
    Nyckelord :Shaped charges; numerical simulation; jet fragmentation; Riktad sprängverkan; numerisk simulering; strål-fragmentering;

    Sammanfattning : This master thesis treats the numerical simulation of shaped charge jets and its fragmentation process. Shaped charges is a method to concentrate the effect of an explosive charge and penetrate deeply into a target due to a the formation of a jet with great penetration capabilities. LÄS MER

  7. 5. Gravitation in Lorentz and Euclidean Geometry

    Kandidat-uppsats, KTH/Fysik

    Författare :Niki Wilhelmson; Johan Stoyanov; [2022]
    Nyckelord :gravitation; gravity; euclidean geometry; isometry; laplace; helmholtz; lorentz geometry; differential geometry; general relativity; special relativity; Einstein s field equations; Lovelock; Newton;

    Sammanfattning : The aim of this work is to derive mathematical descriptions of gravitation. Postulating gravitation as a force field, Newton's law of gravitation is heuristically derived by considering linear differential operators invariant under euclidean isometries and by finding the fundamental solution to Helmholtz equation in three dimensions. LÄS MER