We prove the path-by-path well-posedness of stochastic porous media and fast diffusion equations driven by linear, multiplicative noise. As a consequence, we obtain existence random dynamical system. This solves an open problem raised in [Barbu Röckner (2011) [4] ], (2018) [6] [Gess (2014) [11] ]. Nous prouvons le caractère bien posé, trajectoire-par-trajectoire, des équations milieux poreux et...

Abstract. Let u ∈ BV(Ω) solve the total variation denoising problem with L2-squared fidelity and data f . Caselles et al. [Multiscale Model. Simul. 6 (2008), 879–894] have shown the containment Hm−1(Ju \ Jf ) = 0 of the jump set Ju of u in that of f . Their proof unfortunately depends heavily on the co-area formula, as do many results in this area, and as such is not directly extensible to high...

We present a study of the photoluminescence of a subnanometric three monolayers CdSe ultra-thin quantum well (UTQW), grown by atomic layer epitaxy (ALE), as a function of temperature. The sample exhibited quite intense green excitonic emission w2.40 eV at 14 K and w2.34 eV at room temperature, still very intense to the nude eye even under low power excitation. The peak energy of the emission pr...

This work is concerned with analysis and refinement for a class of island dynamics models for epitaxial growth of crystalline thin films. An island dynamics model consists of evolution equations for step edges (or island boundaries), coupled to a diffusion equation for the adatom density, on an epitaxial surface. The island dynamics model with irreversible aggregation is confirmed to be mathema...

The fundamental problem of de-noising and de-blurring images is addressed in this study. The great difficulty in this task is due to the ill-posedness of the problem. We suggest to analyze multi-channel images to gain robustness and to regularize it by the Polyakov action which provides an anisotropic smoothing term that use intra-channel information. Blind de-convolution is then solved by addi...

Motivated by considerations from neuroscience (macroscopic behavior of large ensembles of interacting neurons), we consider a population of mean field interacting diffusions in R in the presence of a random environment and with spatial extension: each diffusion is attached to one site of the lattice Z, and the interaction between two diffusions is attenuated by a spatial weight that depends on ...

We describe a straightforward technique for the measurement of carrier diffusion in semiconductors. Using an optical microscope we can spatially image luminescence with a resolution of ;500 nm. We measured the ambipolar diffusion length in a Zn0.75Cd0.25Se–ZnSe single quantum well by fitting the spatially resolved luminescence profile with the solution of the two-dimensional diffusion equation....

ABSTRACT Army ants perform the altruism behavior that an ant sacrifices its own well-being for the benefit of another ants. They build bridges using their own bodies along the path from a food to the nest. We developed the army ant inspired social evolutionary system by using Swarm library. The system has 2 kinds of ant agents, 'Major ant' and 'Minor ant'. They communicate with each other via p...

The present investigation is concerned with the reflection of plane waves from a free surface of a micropolar thermoelastic diffusion half space in the context of coupled theory of thermoelastic diffusion. The amplitude ratios of various reflected waves are obtained in a closed form. The dependence of these amplitude ratios with an angle of propagation as well as other material parameter are sh...