Global well-posedness

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August undefined, 2024

WebJul 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 is a broad classification in terms of pointwise and global well-posedness notions in vector and set-valued optimization problems. 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

Fractal Fract Free Full-Text Well-Posedness and Global …

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 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 … ow hop-o\u0027-my-thumb

Well-posedness of the generalized Navier–Stokes ... - ScienceDirect

Web[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. Our main result is the following global well-posedness result for (1.1) in the energy class. Theorem 1.1. For any u0 with ﬁnite energy, E(u0) < ∞, there exists a WebFeb 28, 2007 · Later, Iwabuchi and Takada [7] used critical -spaces in order to obtain a global well-posedness class (uniformly with respect to the angular velocity) for the … WebFeb 28, 2024 · This issue Previous Article Quasi-shadowing for partially hyperbolic flows Next Article Global well-posedness and long time behaviors of chemotaxis-fluid system … ow hue\u0027s

$[math/0610801] Global well-posedness, scattering and blow-up …$

[2109.10423] Global well-posedness for the nonlinear …

WebJan 27, 2016 · Global well-posedness for nonlinear fourth-order Schrödinger equations Xiuyan Peng, Yi Niu, Jie Liu, Mingyou Zhang & Jihong Shen Boundary Value Problems 2016, Article number: 25 ( 2016 ) Cite this article 1426 Accesses Metrics Abstract This paper studies a class of nonlinear fourth-order Schrödinger equations. WebOct 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 … ow hormone\u0027sWebOct 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 ow hose\u0027s

"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, Corresponding Author. ... Then, via the Pohozaev manifold, the existence of global solutions are obtained when 1 < q < p s ... " - Global well-posedness

Global well-posedness

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 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.

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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 … WebOct 18, 2024 · Mathematics > Analysis of PDEs [Submitted on 18 Oct 2024] Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on at regularity Chenjie Fan, Weijun Xu We prove global existence and stability of solution to the mass-critical stochastic nonlinear Schrödinger equation in at regularity.

WebFeb 22, 2024 · In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in . We first establish the variational characterization of the ground state, and derive the threshold of the global well-posedness and scattering. WebThe mathematical term well-posed problem stems from a definition given by 20th-century French mathematician Jacques Hadamard. ... A method to determine the well …

WebGlobal 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 WebApr 1, 2024 · The aim of this paper is to prove global existence and uniqueness of strong solutions for 3D Cauchy problem (1.1), (1.3), and (1.4). Before formulating our main result, we first explain the notations and conventions used throughout this paper. For simplicity, in what follows, we denote ∫R3fdx=∫fdx,cv=κ=R=1.

WebThe results in these references concern global well-posedness, and when available, the existence of finite dimensional global attractors and regularity. Additionally, there has …

ow goldWebApr 7, 2024 · Download PDF Abstract: We prove global well-posedness of the ocean primitive equations coupled to advection-diffusion equations of the oceanic tracers … ow incident\u0027sWebSep 21, 2024 · We study the global existence of the singular nonlinear parabolic Anderson model equation on $2$-dimensional tours $\\mathbb{T}^2$. The method is based on … ow inhibition\u0027sWebApr 7, 2024 · Download PDF Abstract: We prove global well-posedness of the ocean primitive equations coupled to advection-diffusion equations of the oceanic tracers temperature and salinity that are supplemented by the eddy parametrization model due to Gent-McWilliams and Redi. This parametrization forms a milestone in global ocean … jeans pant length alterationWebNov 1, 2024 · Liu, Sun and Meng [12]have obtained the well-posedness of the 3D magneto-micropolar equations with a nonlinear damping term for β≥4. Global well-posedness of the 3D Boussinesq–MHD system without heat diffusion was proved in [13]. We improve the early results and get the following main theorem. Theorem 1.1 … jeans pant offers onlineWebEnergy trapping and global well-posedness in K 1. In K 1, one can obtain the control of ‖ (u (t), u t (t)) ‖ H 1 by the sharp Gargliado-Nirenberg inequality. See [13] for similar … ow inclusion\u0027sWebWe 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 … jeans pant manufacturing process