In 1994, Lions, Perthame and Tadmor conjectured the maximal smoothing effect for multidimensional scalar conservation laws in Sobolev spaces. For strictly smooth convex flux and the one-dimensional case we detail the proof of this conjecture in the framework of Sobolev fractional spaces W s,1, and in fractional BV spaces: BV s. The BV s smoothing effect is more precise and optimal. It implies t...

Several models in mathematical physics are described by quasi-linear hyperbolic systems with source term and in several cases the production term can become stiff. Here suitable central numerical schemes for such problems are developed and applications to the Broadwell model and extended thermodynamics are presented. The numerical methods are a generalization of the Nessyahu–Tadmor scheme to th...

Copyright: © 2013 Tadmor T. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Much effort is being invested in advancing the knowledge on cancer immunology, cancer microenvironment, and their interactions both w...

One reason which makes Roe’s Riemann solver attractive is its low computational cost. But the main drawback with Roe’s approximate Riemann solver is that non-physical expansion shocks can occur in the sonic points, it has been early remarked that for this particular situation. The Roe flux does not satisfy the entropy condition. In this paper an elegant response has been proposed by combining H...

Title of dissertation: NOVEL INTEGRO-DIFFERENTIAL SCHEMES FOR MULTISCALE IMAGE REPRESENTATION Prashant Athavale, Doctor of Philosophy, 2009 Dissertation directed by: Professor Eitan Tadmor Department of Applied Mathematics & Statistics and Scientific Computation Multiscale representation of a given image is the problem of constructing a family of images, where each image in this family represen...

To this end, we introduce general families of entropy-conservative schemes, interesting in their own right. The present treatment of such schemes extends our earlier recipe for construction of entropy-conservative schemes, introduced in Tadmor (1987b). The new families of entropy-conservative schemes offer two main advantages, namely, (i) their numerical fluxes admit an explicit, closed-form ex...

Barley can be cultivated and gives better yields in a large number of environments under various fertilization practices. This experiment was conducted two growing seasons 2018/2019 2019/2020 rainfall condition. Four new introduced cultivars barley (Arta, Tadmor, Clipper Furat2) along with commonly grown (Local-1 Local-2) were represented the current study; Soil (DAP) foliar treatments also inv...

Melting is a major step in plasticating single screw extrusion, but most of the existing phenomenological know how was gathered by performing Maddock-type experiments with homopolymers. Given the current widespread industrial use of polymer blends, it is worth determining whether the same mechanisms and mathematical models apply, or whether different sequences develop. This work reports the res...