In this paper, we mainly investigate the Cauchy problem of non-viscous MHD equations with magnetic diffusion. We first establish local well-posedness (existence, uniqueness and continuous dependence) initial data (u0, b0) in critical Besov spaces \(B_{p,1}^{{d \over p} + 1} \times B_{p,1}^{{d p}}\) 1 ≤ p ∞, give a lifespan T solution which depends on norm Littlewood—Paley decomposition (profile...

In this paper, we are concerned with the stochastic time-fractional diffusion-wave equations in a Hilbert space. The main objective of paper is to establish properties weak solutions initial-boundary value problem, such as existence, uniqueness and regularity estimates. Moreover, apply obtained theories an inverse source problem. problem under boundary measurements proved.

In this paper, we study the well-posedness and qualitative behavior of equilibria a SEIR epidemic models with spatial diffusion for spreading COVID-19. The model is proved using both Semigroup Theory sectorial operators existence results abstract parabolic differential equations. asymptotical local stability disease-free endemic are established standard linearization theory, confirmed by illust...