Some Qualitative Properties for the Total Variation Flow

Some Qualitative Properties for the Total Variational Flow

Inverse Total Variation Flow

Abstract. In this paper we analyze iterative regularization with the Bregman distance of the total variation semi norm. Moreover, we prove existence of a solution of the corresponding flow equation as introduced in [8] in a functional analytical setting using methods from convex analysis. The results are generalized to variational denoising methods with L-norm fit-to-data terms and Bregman dist...

Minimizing Total Variation Flow

We prove existence and uniqueness of weak solutions for the minimizing Total Variation ow with initial data in L1. We prove that the length of the level sets of the solution, i.e., the boundaries of the level sets, decreases with time, as one would expect, and the solution converges to the spatial average of the initial datum as t ! 1. We also prove that local maxima strictly decrease with time...

Convection and total variation flow

The flow of a Bingham fluid with inertial terms is simplified into a nonlinear hyperbolic scalar conservation law, regularised by the total variation flow operator (or 1-Laplacian). We give an entropy weak formulation, for which we prove the existence and the uniqueness of the solution. The existence result is established using the convergence of a numerical approximation (a splitting scheme wh...

Some qualitative properties of different monofloral honeys.

In this study, physico-chemical properties of honeys samples obtained from different locations of Turkey were investigated. Moisture, diastase activity, Hydroxy Methyl Furfural (HMF), viscosity, acidity, total glucose+fructose, protein and ash contents of honey samples ranged from 17.1% to 20.0%, 10.9 to 17.9, 1.34 to 31.28 mg/kg, 2.48 to 8.42 Pa s, 18.2 to 47.5 meq/kg, 51.31% to 68.30%, 0.60% ...