Results 51 to 60 of about 193 (123)
On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]
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
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]
Boullé N, Halikias D, Townsend A.
europepmc +1 more source
Fractional and Integer Order Sobolev Spaces for Compact Metric Graphs [PDF]
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
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
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
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Long time behavior of wave and plate equations [PDF]
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
Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence. [PDF]
Colombo M, Crippa G, Sorella M.
europepmc +1 more source
On the inverse problem of vibro-acoustography. [PDF]
Kaltenbacher B.
europepmc +1 more source

