Advection-diffusion equations arise in many engineering applications,including e.g.pollutants transport into a flow.In various applications,convection domin
We propose the eigenvalue problem of an anisotropic diffusion operator for image segmentation.The diffusion matrix is defined based on the input image.
Since mid 90s conservation laws on graphs are used as model for traffic flow on networks,with applications to water channels,supply chains,vehicular traffic
The problem of optimal displacement of several materials in a domain is formulated as a variational problem for a multiwell Lagrangian; it does not has a cl
The paper concerns optimal design of anisotropy of elastic continuum structures within the Free Material Design(FMD)setting.A proof is given that the proble
We analyze the spinodal decomposition under the effect of shear flow,coupling the phase separation mechanism of the Cahn-Hilliard equation with the incompre
Cardiovascular disease including heart failure,coronary disease,arterial aneurysm and atrial fibrillation has been the challenge for the world.In the progre