Propagation of singularities of nonlinear heat flow in fissured media

Propagation of Singularities of Nonlinear Heat Flow in Fissured Media

the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media

امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...

Single Phase Flow in Partially Fissured Media

Totally ssured media in which the individual cells are isolated by the ssure system are eeectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the ux across their interface with the ssure system which surrounds them. We extend these results to a dual-permeability model which accounts for the secondary ux ari...

Single Phase Flow in Partially Fissured Media

Totally fissured media in which the individual cells are isolated by the fissure system are effectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the flux across their interface with the fissure system which surrounds them. We extend these results to a dual-permeability model which accounts for the seconda...

Propagation of nonlinear waves in disordered media

We study the propagation of stationary waves in disordered non-linear media described by the nonlinear Schrödinger equation and show that for given boundary conditions and a given coherent wave incident on the sample, the number of solutions of the equation increases exponentially with sample size. We also discuss the ballistic case, the sensitivity of the solutions to the change of external pa...