Hydrodynamics in besov spaces
Web10 jan. 2024 · In the paper, we consider the initial value problem to the higher dimensional Euler equations in the whole space. Based on the new technical which is developed in \\cite{Li2}, we proved that the data-to-solution map of this problem is not uniformly continuous in nonhomogeneous Besov spaces in the sense of Hadamard. Our obtained … Web15 jan. 2009 · PDF This paper is devoted to the study of the Cauchy problem of incompressible magneto-hydrodynamics system in framework of Besov spaces. In the case... Find, read and cite all the research ...
Hydrodynamics in besov spaces
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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 ... 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 …
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 ...
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 … 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 …
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 …
WebBesov Space. Besov spaces Bqα(Lp(Ω)) are used in many domains of mathematics as harmonic analysis or approximation theory. From: Encyclopedia of Mathematical … i have ssl but still not secureWeb30 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 }. is the micro uzi open boltWeb16 nov. 2012 · Abstract: We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant … i have ssl certificate but still not secureWeb16 nov. 2012 · We demonstrate that the three dimensional incompressible magneto-hydrodynamics (MHD) system is ill-posed in the largest scaling invariant space … i have stained the childhood of our joyWeb7 dec. 1997 · Hydrodynamics in Besov Spaces MishaVishik Communicated by C.Dafermos §0. Introduction In this paper we study the Euler equation of an ideal incompressible … is the mid atlantic ridge a divergent faultWeb15 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. is the middle ages capitalizedWeb15 feb. 2024 · We prove the global well-posedness of the Cauchy problem to the 3D incompressible Hall-magnetohydrodynamic system supplemented with initial data in … i have squirrels in my pants