Global well‐posedness and asymptotics of full compressible non‐resistive magnetohydrodynamics system with large external potential forces
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7774
Abstract: We consider the global well‐posedness and asymptotic behavior of compressible viscous, heat‐conductive, and non‐resistive magnetohydrodynamics (MHD) fluid in a field of external forces over three‐dimensional periodic thin domain Ω=𝕋2×(0,δ) . The unique existence of the… read more here.
Keywords: resistive magnetohydrodynamics; system; non resistive; well posedness ... See more keywords
Global well-posedness for the fifth-order mKdV equation
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-018-7241-4
Abstract: AbstractWe prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces Hs(ℝ) for s > $$ - \frac{3}{{22}}$$−322 . The main approach is the “I-method” together with the… read more here.
Keywords: order mkdv; global well; fifth order; well posedness ... See more keywords
Global Well-Posedness for a 1-D Compressible Non-isothermal Model for Nematic Liquid Crystals
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00285-x
Abstract: In this paper, we prove global well-posedness of strong solutions to a 1-D compressible non-isothermal model for nematic liquid crystals, provided that the initial datum satisfies a natural compatibility condition. The initial density may vanish… read more here.
Keywords: isothermal model; global well; model nematic; compressible non ... See more keywords
Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schrödinger Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9709-4
Abstract: We study the global Cauchy problem for the nonlinear Schrödinger equations in the Sobolev space of fractional order. In particular, we show the global well-posedness and the analytic smoothing effect for global solutions to a… read more here.
Keywords: nonlinear schr; dinger equations; global well; well posedness ... See more keywords
Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-021-00439-2
Abstract: The goal of this paper is to establish a global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients in $$C^2((0,T];C^\infty ({{\mathbb {R}}}^n))$$ C 2 ( ( 0 , T ] ;… read more here.
Keywords: strictly hyperbolic; posedness broad; well posedness; broad class ... See more keywords
Global well-posedness and long-time behavior of the fractional NLS
Sign Up to like & getrecommendations! Published in 2021 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-021-00210-0
Abstract: In this paper, our discussion mainly focuses on equations with energy supercritical nonlinearities. We establish probabilistic global well-posedness (GWP) results for the cubic Schrödinger equation with any fractional power of the Laplacian in all dimensions.… read more here.
Keywords: behavior fractional; posedness long; global well; time behavior ... See more keywords
Global Well-Posedness of the Generalized Incompressible Navier–Stokes Equations with Large Initial Data
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00818-5
Abstract: This paper is concerned with the global well-posedness of the n -dimensional generalized incompressible Navier–Stokes equations with initial data in the critical Besov space. By fully using the advantage of suitable weighted functions and the… read more here.
Keywords: incompressible navier; global well; initial data; navier stokes ... See more keywords
On the global well-posedness of 2-D Boussinesq system with variable viscosity
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DOI: 10.1016/j.aim.2016.09.036
Abstract: Abstract In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of | D | θ , with general initial data provided that the… read more here.
Keywords: viscosity; global well; posedness boussinesq; well posedness ... See more keywords
Almost global well-posedness of Kirchhoff equation with Gevrey data
Sign Up to like & getrecommendations! Published in 2017 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2017.04.001
Abstract: Abstract The aim of this note is to present the almost global well-posedness result for the Cauchy problem for the Kirchhoff equation with large data in Gevrey spaces. We also briefly discuss the corresponding results… read more here.
Keywords: kirchhoff equation; global well; well posedness; almost global ... See more keywords
Global well-posedness and uniform boundedness of urban crime models: One-dimensional case
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.04.035
Abstract: Abstract In this paper, we study a PDE system which was proposed by Short et al. (2008) [42] to describe the spatial-temporal dynamics in urban criminal activity. By establishing a user-friendly integral inequality, we prove… read more here.
Keywords: boundedness urban; global well; well posedness; uniform boundedness ... See more keywords
Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.03.042
Abstract: Abstract We prove the global well-posedness of the strong solution to the two-dimensional inhomogeneous incompressible primitive equations for initial data with small H 1 2 -norm, which also satisfies a natural compatibility condition. A logarithmic… read more here.
Keywords: incompressible primitive; strong solutions; global well; primitive equations ... See more keywords