Random modulation of solitons for the stochastic Korteweg–de Vries equation
A. de Bouard, A. Debussche (2007)
Annales de l'I.H.P. Analyse non linéaire
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A. de Bouard, A. Debussche (2007)
Annales de l'I.H.P. Analyse non linéaire
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Ping Zhang, Yuxi Zheng (2005)
Annales de l'I.H.P. Analyse non linéaire
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Boris Vexler, Takéo Takahashi, Samuel Amstutz (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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The topological sensitivity analysis consists in studying the behavior of a given shape functional when the topology of the domain is perturbed, typically by the nucleation of a small hole. This notion forms the basic ingredient of different topology optimization/reconstruction algorithms. From the theoretical viewpoint, the expression of the topological sensitivity is well-established in many situations where the governing p.d.e. system is of elliptic type. This paper focuses on the...
E. Acerbi, G. Bouchitté (2008)
Annales de l'I.H.P. Analyse non linéaire
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Xiaobing Feng, Andreas Prohl (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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]....
Vincent Girinon (2009)
Annales de l'I.H.P. Analyse non linéaire
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