Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
Helmut Abels, Matthias Röger (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Displaying similar documents to “On the double critical-state model for type-II superconductivity in 3D”
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
A finite element scheme for the evolution of orientational order in fluid membranes
Sören Bartels, Georg Dolzmann, Ricardo H. Nochetto (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We investigate the evolution of an almost flat membrane driven by competition of the homogeneous, Frank, and bending energies as well as the coupling of the local order of the constituent molecules of the membrane to its curvature. We propose an alternative to the model in [J.B. Fournier and P. Galatoa, (1997) 1509–1520; N. Uchida, (2002) 040902] which replaces a Ginzburg-Landau penalization for the length of the order parameter by a rigid constraint. We...
Exterior problem of the Darwin model and its numerical computation
Lung-An Ying, Fengyan Li (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell’s equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.
On the minimization of some nonconvex double obstacle problems.
Elfanni, A. (2003)
Journal of Applied Mathematics
Similarity:
Stabilization methods in relaxed micromagnetism
Stefan A. Funken, Andreas Prohl (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
The magnetization of a ferromagnetic sample solves a non-convex variational problem, where its relaxation by convexifying the energy density resolves relevant macroscopic information. The numerical analysis of the relaxed model has to deal with a constrained convex but degenerated, nonlocal energy functional in mixed formulation for magnetic potential and magnetization . In [C. Carstensen and A. Prohl, Numer. Math. 90 (2001) 65–99], the conforming -element in spatial dimensions...
Robust control problems of vortex dynamics in superconducting films with Ginzburg-Landau complex systems.
Belmiloudi, Aziz (2006)
Abstract and Applied Analysis
Similarity:
Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities
Jana Ježková (1994)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
The local boundedness of weak solutions to variational inequalities (obstacle problem) with the linear growth condition is obtained. Consequently, an analogue of a theorem by Reshetnyak about a.eḋifferentiability of weak solutions to elliptic divergence type differential equations is proved for variational inequalities.