Web15 jul. 2024 · In this paper, we generalize this method in the framework of homogeneous Besov spaces. Moreover, we apply this method to a model arising from electro-hydrodynamics, which is a strongly coupled system of the Navier–Stokes equations and the Poisson–Nernst–Planck equations through charge transport and external forcing terms. Web16 nov. 2012 · We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant space …

Ill-posedness for the Euler equations in Besov spaces

Web15 feb. 2024 · We prove the global well-posedness of the Cauchy problem to the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial data in critical Besov spaces that allowing for different integrability indices for the velocity field uand magnetic field b(and its current J), which generalize the result in [13]. Web13 mrt. 2014 · In this paper, we study the dependence on initial data of solutions to the incompressible Euler equations in Besov spaces. We show that for s > n/p + 1, p ∈ (1, ∞), and r ∈ [1, ∞], the solution map u 0 ↦u is Hölder continuous in Besov space B p, r s equipped with weaker topology. When the space variable x is taken to be periodic, we … safir lunch buffet

Nonuniform Dependence on the Initial Data for Solutions of

Web30 nov. 2012 · By using the Littlewood-Paley decomposition and nonhomogeneous Besov spaces, we prove that the Cauchy problem for the generalized Novikov equation is locally well-posed in Besov space B p, r s with 1 ≤ p, r ≤ + ∞ and s > m a x { 1 + 1 p, 3 2 }. Web5 jun. 2024 · We obtain local well-posedness result for the generalized Hall-magneto-hydrodynamics system in Besov spaces with suitable indexes and As a corollary, the … Web15 jul. 2024 · In this paper, we generalize this method in the framework of homogeneous Besov spaces. Moreover, we apply this method to a model arising from electro … safir law firm