In this article a variational reduction method, how to handle the case of heterogenous
domains for the Transport equation, is presented. This method allows to get rid of the
restrictions on the size of time steps due to the thin parts of the domain. In the thin
part of the domain, only a differential problem, with respect to the space variable, is to
be approximated numerically. Numerical results are presented with a simple example. The
variational...
Plant growth depends essentially on nutrients coming from the roots and metabolites
produced by the plant. Appearance of new branches is determined by concentrations of
certain plant hormones. The most important of them are Auxin and Cytokinin. Auxin is
produced in the growing, Cytokinin in either roots or in growing parts. Many dynamical
models of this phenomena have been studied in [1]. In [5], the authors deal with one
branch model. In this work,...
The image's restoration is an essential step in medical imaging.
Several Filters are developped to remove noise, the most interesting
are filters who permits to denoise the image preserving semantically
important structures. One class of recent adaptive denoising methods
is the nonlinear Partial Differential Equations who knows currently a
significant success. This work deals with mathematical study for a
proposed nonlinear evolution partial differential equation for image
processing. The existence...
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