filter is one of the main components of embankment dams. by a simple but effective performance, filter protects the dam against erosion and soil scouring in impervious core caused by leakage (piping) and makes it safe. interaction between filter and erodible base soil is a complex phenomenon which is dependent upon several factors, and has challenged researchers for better understanding the fil...

introduction wedge modifiers are commonly applied in external beam radiotherapy to change the dose distribution corresponding to the body contour and to obtain a uniform dose distribution within the target volume. since the radiation dose delivered to the target must be within ±5% of the prescribed dose, accurate dose calculation by a treatment planning system (tps) is important. the objective ...

In the present work we study existence and non-existence of nonnegative solutions to a class deterministic KPZ system with nonlocal gradient term. More precisely will consider system$ \begin{equation*} \left\{ \begin{array}{rcll} (-\Delta)^{s} u & = &|\mathbb{D}_{s} v|^q + \rho f\,, \quad {\rm{in }}\; \Omega,\\ v |\mathbb{D}_{s} u|^p \tau g\,, v& 0 &\quad {\text{in }} \mathbb{R}...