Results 51 to 60 of about 193 (123)

On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]

open access: yes, 2012
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT   +1 more
core  

Forme normale de Birkhoff en faible régularité

open access: yes
This thesis is devoted to the study of the long time behavior of small solutions of semi-linear non-resonant Hamiltonian PDEs in low regularity. Many results were realised to prove long time stability in high regular- ity (in the Sobolev space Hs with s ...
Abou Khalil, Charbella
core   +2 more sources

Elliptic PDE learning is provably data-efficient. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Boullé N, Halikias D, Townsend A.
europepmc   +1 more source

Fractional and Integer Order Sobolev Spaces for Compact Metric Graphs [PDF]

open access: yes
Given a compact metric graph $Γ$ and the Laplacian $Δ_Γ$ coupled with standard (Kirchhoff) vertex conditions, solutions to fractional elliptic partial differential equations of the form $(κ^2 - Δ_Γ)^{α/2}u=f$ on $Γ$ exhibit a distinctive regularity ...
Bolin, David   +2 more
core  

Birkhoff normal form in low regularity

open access: yes
Cette thèse est consacrée à l’étude du comportement en temps longs des pe- tites solutions des EDPs hamiltoniennes semi- linéaires non résonnantes en faible régularité. De nombreux résultats ont été réalisés pour montrer la stabilité en haute régularité (
Abou khalil, Charbella
core  

Nichtstandardisierte Diskretisierungsstrategien in der Isogeometric Analysis für partielle Differentialgleichungen

open access: yes, 2017
Isogeometric Analysis (IgA), based on B-spline and Non-Uniform Rational B-Spline (NURBS), is a numerical method proposed in 2005 by Thomas Hughes, John Cottrell and Yuri Bazilevs to approximate solutions of partial differential equations (PDEs). IgA uses
Moore, Stephen Edward
core   +1 more source

Long time behavior of wave and plate equations [PDF]

open access: yes
Long time behavior of a class of nonlinear hyperbolic dynamics governed by Partial Differential Equations [PDEs] is considered in this thesis. The objective is to demonstrate that the long-term behavior can be directed towards coherent structures, such ...
Roy, Madhumita
core  

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