Now showing items 21-26 of 26

    Probabilistic and extremal studies in additive combinatorics 

    Wötzel, Maximilian (Date of defense: 2022-01-26)

    The results in this thesis concern extremal and probabilistic topics in number theoretic settings. We prove sufficient conditions on when certain types of integer solutions to linear systems of equations in binomial ...

    Qualitative properties of solutions to integro-differential elliptic problems 

    Felipe Navarro, Juan Carlos (Date of defense: 2021-07-14)

    The thesis is devoted to the analysis of elliptic PDEs and related problems. It is mainly focused on the study of qualitative and regularity properties of solutions to integro-differential equations. The study of such ...

    Simulation of two-fluid immiscible Stokes flows using hybrid nonconforming methods and geometrically unfitted meshes 

    Piccardo, Stefano (Date of defense: 2023-12-04)

    (English) We consider two-fluid problems involving immiscible Stokes fluids in contact and with surface tension at their interface. We develop, analyze, and compare two approaches for space discretization, the Hybrid ...

    Stable solutions of nonlinear fractional elliptic problems 

    Sanz Perela, Tomás (Date of defense: 2019-06-18)

    This thesis is devoted to study integro-differential equations. This type of equations constitutes nowadays a very active field of research which has important applications in modeling real-life phenomena where nonlocal ...

    A theoretical and computational study of the mechanics of biomembranes at multiple scales 

    Torres-Sánchez, Alejandro (Date of defense: 2017-07-11)

    Lipid membranes are thin objects that form the main separation structure in cells. They have remarkable mechanical properties; while behaving as a solid shell against bending, they exhibit in-plane fluidity. These two ...

    Unstable motions in the three body problem 

    Paradela Díaz, Jaime (Date of defense: 2023-06-30)

    (English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...