Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function.
Holden, H., Karlsen, K.H., Mitrovic, D. (2009)
International Journal of Differential Equations
Similarity:
Displaying similar documents to “Regularization of a unilateral obstacle problem on the boundary.”
Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function.
Γ-convergence approach to variational problems in perforated domains with Fourier boundary conditions
Valeria Chiadò Piat, Andrey Piatnitski (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and combining the bulk (volume distributed) energy and the surface energy distributed on the perforation boundary. It is assumed that the mean value of surface energy at each level set of test function is equal to zero. Under natural coercivity and -growth assumptions on the bulk energy, and the assumption that the surface energy satisfies -growth...
Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
Patrick Joly, Sébastien Tordeux (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.
A minimization problem associated with elliptic systems of Fitz–Hugh–Nagumo type
E. N. Dancer, Shusen Yan (2004)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Existence of solution for nonlinear elliptic equations with unbounded coefficients and data.
Redwane, Hicham (2009)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Analysis of total variation flow and its finite element approximations
Xiaobing Feng, Andreas Prohl (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter , and the minimal surface flow [21] and the prescribed mean curvature flow [16]....