Global well-posedness

Author: pngq

August undefined, 2024

WebApr 7, 2024 · Download PDF Abstract: We prove global well-posedness of the ocean primitive equations coupled to advection-diffusion equations of the oceanic tracers … WebJan 1, 2024 · This paper aims at the global well-posedness problem to the n -dimensional magneto-micropolar equations with hyperdissipation. By fully exploiting the special structure of the system and the energy methods, we establish the global existence and uniqueness of solution for the system with hyperdissipation.

Global Well-Posedness for the Fractional Nonlinear

WebIn [6], Ozawa and Tsutaya proved the global well-posedness in the energy space (s1 = 1, s2 = 0) when n ≤ 2. We remark that, in the 2 dimensional Zakharov system, a blow-up solution exists (cf [3]). Theorem 2 (Local well-posedness below L2) The Cauchy problem (1)–(5) with data (6) is locally well-posed, if −1/4 < s1 ≤ 0, −1/2 < s2 ≤ ... WebThis work establishes a global well-posedness result for the three dimensional axisymmetric Boussinesq system with critical rough initial data. Specifically, we aim at … black monitor background

[2202.10757] Global well-posedness and scattering of the two ...

Webthe local and global well-posedness and the large time behavior of the solution. For the two layer viscous ﬂuid ﬂow with free boundary, Yao and Zhu [44] investi-gated the global existence and uniqueness of weak solution for a viscous two-phase model. Pruss¨ and Simonett [28] proved the local well-posedness of a free interface WebOct 26, 2006 · [Submitted on 26 Oct 2006] Global well-posedness, scattering and blow-up for the energy critical focusing non-linear wave equation Carlos E.Kenig, Frank Merle Webthe local and global well-posedness and the large time behavior of the solution. For the two layer viscous ﬂuid ﬂow with free boundary, Yao and Zhu [44] investi-gated the … garbage floating in ocean

Global Well-Posedness in Set Optimization Request PDF

Global well-posedness and scattering for the energy-critical …

WebMay 31, 2024 · This paper focuses on two-dimensional incompressible non-resistive MHD equations with only horizontal dissipation in $ \mathbb{T}\times\mathbb{R} $. Invoking … WebAug 1, 2024 · Recently, Abidi–Zhang [3] established the global well-posedness of the 2D Boussinesq system with the critical case α = 1 2 under the assumption that the viscosity coefficient μ ( θ) is sufficiently close to some positive constant. garbage found in mariana trenchWebMar 17, 2024 · The present paper is dedicated to the global well-posedness for the 3D inhomogeneous incompressible Navier-Stokes equations, in critical Besov spaces … blackmon insurance raleigh

"WebAug 7, 2011 · Mark Keel, Tristan Roy, and I have just uploaded to the arXiv the paper “Global well-posedness for the Maxwell-Klein-Gordon equation below the energy … " - Global well-posedness

Global well-posedness

WebWe revisit the local well-posedness theory of nonlinear Schrödinger and wave equations in Sobolev spaces H s and H ... The global Cauchy problem for the nonlinear Schrödinger … WebThe global well-posedness as well as long-term behavior in terms of mean random attractors and invariant measures are investigated for a class of stochastic discrete …

Did you know?

WebJan 1, 2024 · We prove the global well-posedness of the viscous incompressible Boussi-nesq equations in two spatial dimensions for general initial data in H m with m ≥ 3. It is … WebCheng He, Jing Li, and Boqiang Lü, Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains, Arch. Ration. Mech. Anal. 239 (2024), no. 3, 1809–1835. MR 4215202, DOI 10.1007/s00205-020-01604-5

WebFeb 1, 2011 · The global well-posedness for the Cauchy problem of the 1-D fractional nonlinear Schrödinger equation is considered. If , then global well-posedness in L 2 is obtained. No full-text available... WebNov 25, 2024 · Global well-posedness and finite time blow-up for a class of wave equation involving fractional p-Laplacian with logarithmic nonlinearity. Tahir Boudjeriou, …

WebJan 24, 2011 · In this paper, we first prove global well-posedness for the defocusing cubic nonlinear Schr\"odinger equation (NLS) on 4-dimensional tori - either rational or irrational … WebThe results in these references concern global well-posedness, and when available, the existence of finite dimensional global attractors and regularity. Additionally, there has …

WebIn this paper we study the Cauchy problem associated to the Maxwell-Schrödinger system with a defocusing pure-power non-linearity. This system has many applications in physics, for instance in the description of a char…

WebPurpose of this page: This collection of web pages is concerned with the local and global well-posedness of various non-linear dispersive and wave equations. An equation is … black monitor riserWebGlobal well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems Part of: Equations of mathematical physics and other areas of application Compressible fluids and gas dynamics, general Published online by Cambridge University Press: 11 October 2024 Xiaopeng Zhao Article Metrics Save PDF garbage free city toolkit 2022 garbage free city logoWeb[4] — namely, global existence from smooth, radial, ﬁnite energy data. For general large data — in particular, general smooth data — global existence and scattering were open. … garbagegothicWebOct 7, 2024 · In this paper we introduce and study two concepts of global well-posedness for set optimization problems in Hausdorff topological vector spaces. Some relationships among these notions and... black monitor lizard petWebJul 11, 2024 · Well-posedness for optimization problems is a well-known notion and has been studied extensively for scalar, vector and set-valued optimization problems. There … garbage free cityWebOct 7, 2006 · Bourgain, J.: Global well-posedness of defocusing critical nonlinear Schrödinger equation in the radial case. J. Am. Math. Soc. 12, 145–171 (1999) Article … black monitor lizard for sale