Hydrodynamics in besov spaces
WebIn mathematics, the Besov space (named after Oleg Vladimirovich Besov) , is a complete quasinormed space which is a Banach space when 1 ≤ p, q ≤ ∞. These spaces, as … 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 ...
Hydrodynamics in besov spaces
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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 Web9 jul. 2024 · In this paper, we establish the global well-posedness and analyticity of the 3D fractional magnetohydrodynamics equations in the critical Fourier-Besov-Morrey …
WebJinlu Li11{}^{1}start_FLOATSUPERSCRIPT 1 end_FLOATSUPERSCRIPT, Yanghai Yu2,2{}^{2,}start_FLOATSUPERSCRIPT 2 , end_FLOATSUPERSCRIPT 1 1 1 E-mail: [email protected]; yuyanghai214@ WebIn this paper we study the Navier–Stokes–Nernst–Planck–Poisson system arising from electrohydrodynamics. Global well-posedness of this system for small initial-data is proven in negative-order Besov spaces. As a corollary to this result, we obtain the existence of self-similar solutions to this system. Asymptotic stability of self-similar solutions as time …
WebBesov 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 … 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.
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].
WebThis is actually the definition of Besov spaces which is chosen in some classical references on Besov spaces, e.g. in Triebel [1983], allowing us to consider also negative values of s, and all values p,q > 0. It can be shown (see for example Triebel [1983]) that (3.2.19) and (3.2.13) are equivalent norms when s > 0 and (assuming here that p,q ... challenges in limited face to face classesWeb19 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 $\dot{B}^{\frac np-1}_{p,r}(\mr^n)$, challenges in maldraxxus wowWeb1 jun. 2024 · Regularity Criteria for the 3D Dissipative System Modeling Electro-Hydrodynamics in Besov Spaces February 2024 · Mathematical Physics Analysis and Geometry Fan Wu happy hump day thought of the dayWeb5 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 … challenges in making researchhttp://www.personal.psu.edu/alm24/papers/tams.pdf challenges in logistics industry in indiaWebWe investigate the global strong solutions for a system of equations related to the incompressible viscoelastic fluids of Oldroyd--B type with the initial data close to a stable equilibrium. We obtain the existence and uniqueness of the global solution in a functional setting invariant by the scaling of the associated equations, where the initial velocity has … challenges in london geographyWeb16 nov. 2012 · Abstract: We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant … challenges in management of 21st century