Hydrodynamics in besov spaces
Web23 jan. 2024 · The ill-posedness for the rotation Camassa-Holm equation in Besov space. In this paper, we present a construction of and get the local ill-posedness for the rotation … Web16 nov. 2012 · We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant space …
Hydrodynamics in besov spaces
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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 feb. 2024 · Planck-Poisson system in the homogeneous Besov space. Keywords Electro-hydrodynamics · Regularity criteria · Besov spaces Mathematics Subject Classification (2010) 35Q35 · 35B45 · 35B65
http://www.personal.psu.edu/alm24/papers/tams.pdf Web16 mei 2008 · Abstract. This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in the framework of Besov spaces. In …
Web16 nov. 2012 · magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant space $\dot{B}_{\infty,\infty}^{-1}$. The construction method of initial data used in this paper is different from the one in a previous work [DQS] of the author. Specifically, we construct initial data which has finite Web1.1.2. Special cases. Many important function spaces are realized as special cases of Besov spaces and Triebel-Lizorkin spaces, which are variants of Besov spaces. We refer to Sections 4.1 and 4.2 for the definition of the homogeneous Besov space B˙s pq with 0
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 }.
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 … qi odyssey bukit jalil photosWeb15 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. qi odyssey kuala lumpurWeb8 mrt. 2024 · In order to prove our results, we establish various type product estimates in space-time mixed spaces and smoothing estimates for the solution of the linear … qi ominaisuusWeb16 nov. 2012 · Abstract: We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant … qi oistWeb19 jul. 2006 · magneto-hydrodynamics system in framework of Besov spaces. In the case of spatial dimension $n\ge 3$ we establish the global well-posedness of the Cauchy problem of incompressible magneto-hydrodynamics system for small data and the local one for large data in Besov space $\dot{B}^{\frac np-1}_{p,r}(\mr^n)$, qi onlineWebBesov spaces and their applications to non-linear partial differential equations, with emphasis on the incompressible, isotropic Navier-Stokes system and semi-linear heat equations. Specifically, we consider the class, introduced by Hideo Kozono and Masao Yamazaki, of Besov spaces based on Morrey spaces, which we call Besov-Morrey or … qi outtakesWebHere, 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 … qi on youtube