WebHere, it should be pointed out that the existing results mentioned above, including the global existence and time decay rates of strong solutions to system (1.1), are mainly based on L 2 superscript 𝐿 2 L^{2} italic_L start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT-framework, especially in critical Besov spaces.However, to our knowledge, so far there … 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].
On the well‐posedness of the Cauchy problem for an MHD system in Besov ...
Web16 nov. 2012 · We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant space … Web1 jun. 2024 · Regularity Criteria for the 3D Dissipative System Modeling Electro-Hydrodynamics in Besov Spaces February 2024 · Mathematical Physics Analysis and Geometry Fan Wu tan leather hiking boots women\u0027s
Ill-posedness of the incompressible magneto-hydrodynamics …
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 … Web11 apr. 2024 · We consider the data-to-solution map for nonlinear hyperbolic conservation laws in one space dimension. We prove for scalar equations and for systems of two equations that the data-to-solution map is not uniformly continuous in Sobolev spaces H^s \ni u_0 \mapsto u \in C ( [0,T]; H^s). Our first result is for periodic solutions ( x\in {\mathbb ... WebBesov Space; Mild Solution; Exterior Domain; These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as … tan leather jackets