Sökning: "PDE"

Visar resultat 6 - 10 av 123 avhandlingar innehållade ordet PDE.

  1. 6. Automated Computational Modeling

    Författare :Johan Jansson; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; multi-adaptivity; Galerkin; ODE; PDE; plasticity; elasticity; FEM; automated;

    Sammanfattning : This thesis is part of the FEniCS project of Automation of Computational Mathematical Modeling (ACMM) as the modern manifestation of the basic principle of science:formulating mathematical equations (modeling) and solving equations (computation). The vision of FEniCS is to set a new standard towards the goals of generality, efficiency, and simplicity, concerning mathematical methodology, implementation, and application. LÄS MER

  3. 7. The impact of glucotoxicity on pancreatic β-cell function

    Författare :Sarheed Jabar Muhammed; Islet cell physiology; []
    Nyckelord :MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; cAMP PKA system; iNOS; Type 2 diabetes; GSIS; PDE; GK rat; ZDF fa fa rat; GPR40; VDAC1; VDAC2; GSK-3β; ChREBP; TXNIP; resveratrol.;

    Sammanfattning : Type 2 diabetes mellitus is connected with elevated plasma glucose levels which negatively influence β-cells and cause impaired glucose-stimulated insulin secretion (GSIS). The aim of present thesis was to investigate the impact of long-term hyperglycemia on the pancreatic islet β-cell function. LÄS MER

  4. 8. Superconductivity in the presence of magnetic steps

    Författare :Wafaa Assaad; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ginzburg-Landau theory; Schrodinger operators with magnetic fields; Superconductivity; spectral theory; PDE; quantum mechanics;

    Sammanfattning : This thesis investigates the distribution of superconductivity in a Type-II planar, bounded, and smooth superconductor submitted to a piecewise-constant magnetic field with a jump discontinuity along smooth curves---the magnetic edge. This discontinuous case has not been treated before in the mathematics literature, where the considered applied magnetic field is usually assumed to be smooth. LÄS MER

  5. 9. Accuracy, efficiency and robustness for rigid particle simulations in Stokes flow

    Författare :Anna Broms; Anna-Karin Tornberg; Mattias Sandberg; Eric Keaveny; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stokes flow; rigid particles; accuracy; fundamental solutions; method of images; multiblob; contact avoiding; complementarity problem; barrier method; elliptic PDE; grid optimisation; pair-correction; boundary integral equations; Stokesflöde; noggrannhet; stela partiklar; fundamentallösningar; randintegralekvation; reflektionspunkter; multiblob; kontaktundvikande algoritmer; komplementaritetsproblem; barriärmetod; elliptisk PDE; gridoptimering; parkorrektion; Numerical Analysis; Numerisk analys;

    Sammanfattning : The thesis concerns simulation techniques for systems of nano- to micro-scaled rigid particles immersed in a viscous fluid, ubiquitous in nature and industry. With negligible fluid inertia, the set of PDEs known as the Stokes equations can be used to model the hydrodynamics. LÄS MER

  7. 10. Monotonicity formulas and applications in free boundary problems

    Författare :Anders Edquist; Henrik Shahgholian; Wolfgang Reichel; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; PDE; Free boundary problems; Monotonicity formulas; Mathematical analysis; Analys;

    Sammanfattning : This thesis consists of three papers devoted to the study of monotonicity formulas and their applications in elliptic and parabolic free boundary problems. The first paper concerns an inhomogeneous parabolic problem. LÄS MER