Global well-posedness
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. 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 …
Global well-posedness
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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 … 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
WebThe results in these references concern global well-posedness, and when available, the existence of finite dimensional global attractors and regularity. Additionally, there has … WebMar 17, 2024 · The present paper is dedicated to the global well-posedness for the 3D inhomogeneous incompressible Navier-Stokes equations, in critical Besov spaces …
WebMar 14, 2024 · Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3 - Volume 150 Issue 4 Skip to main content Accessibility help … 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 reaction-diffusion equations defined on Z k with a family of superlinear noise.
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
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... how to check hostnameWebGlobal 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 microforce complete solutionWebCheng 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 micro four thirds lenses bestWebfirst used in [8], is presented in this paper which establishes global well-posedness of (1.1) in Hs(R), −3/10 < s. A subsequent paper [6] will establish that (1.1) is globally well-posed in Hs(R) for −3/4 < s. The simplicity of the argument presented here may extend more easily to other situations, such as in our treatment [5] of cubic NLS on how to check hostfileWebJan 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. micro force dp d2tWebThe main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy E (0) < d, critical initial energy E (0) = d and the arbitrary high initial energy E (0) > 0 ( ω = 0). how to check host fileWebThe mathematical term well-posed problem stems from a definition given by 20th-century French mathematician Jacques Hadamard. ... A method to determine the well … microfridge foxboro ma