On a high-dimensional nonlinear stochastic partial differential equation

In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension $d\geq1$, with a non-Lipschitz coefficient noisy term. The equation studied coincides in one dimension with the stochastic Burgers equation. Existence of a weak solution is established through an approximation procedure

Density estimates on a parabolic spde

We consider a general class of parabolic spde's [formula] with (t, x) [member of] [0, T]×[0, 1] and [epsilon]Wt,x, [epsilon] > 0, a perturbed Gaussian space-time white noise. For (t, x) [member of] (0, T]×(0, 1) we prove the called Davies and Varadhan-Léandre estimates of the density p[epsilon]t,x of the solution u[epsilon]t,x

On a stochastic partial differential equation with non-local diffusion

In this paper, we prove existence, uniqueness and regularity for a class of stochastic partial differential equations with a fractional Laplacian driven by a space-time white noise in dimension one. The equation we consider may also include a reaction term

Language and Cultural Contact in Casablanca: Exploring South Korea’s Influence on Moroccan Society

Morocco has been home to many foreign cultures for decades. Language contact involves the mutual influence of languages between interacting individuals. East Asian people, among the many foreigners in Morocco, have contributed to various practices that attract young people. South Korean culture, in particular, is becoming increasingly popular due to the global reach of its entertainment sector. Consequently, a significant number of young Moroccans are influenced by Korean pop culture, which is evident in their behaviors. They watch Korean TV shows, listen to Korean music, dress in Korean fashion, and adopt Korean expressions and gestures. These influences contribute to a new, blended culture that isn’t entirely Moroccan or Korean. Despite limited academic research on this topic, understanding these cultural exchanges is crucial. This article will focus on Casablanca, with research conducted through questionnaires and interviews distributed online and in person, targeting individuals exposed to Korean culture