We study dispersive models of fluid flow in viscoelastic vessels, derived the blood flow. The unknowns are velocity axial direction and displacement vessel wall from rest. prove that one such model has a well-posed initial value problem, while we argue related instead an ill-posed problem; second case, still existence solutions analytic function spaces. Finally some periodic traveling waves.

in this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented. then a common general forward modeling for them is given and the corresponding inversion problem is presented. then, after showing the inadequacy of the classical analytical and least square methods for these ill posed inverse problems, a baye...

In this paper, we consider the inverse source problem for time-fractional diffusion equation, which has been known to be an ill-posed problem. To deal with ill-posedness of problem, propose transform into a regularized L^2 and total variational (TV) regularization terms. Differing from classical Tikhonov penalty terms, TV is beneficial reconstructing discontinuous or piecewise constant solution...

Introduction The diagnosis and separation of cancerous tumors in medical images require accuracy, experience, and time, and it has always posed itself as a major challenge to the radiologists and physicians. Materials and Methods We Received 290 medical images composed of 120 mammographic images, LJPEG format, scanned in gray-scale with 50 microns size, 110 MRI images including of T1-Wighted, T...

The significant increase in using reservoir simulation models poses significant challenges in the design and calibration of models. Moreover, conventional model calibration, history matching, is usually performed using a trial and error process of adjusting model parameters until a satisfactory match is obtained. In addition, history matching is an inverse problem, and hence it may have non-uni...