Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio+2 more
doaj +1 more source
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. [PDF]
Lin Q, Liu X, Titi ES.
europepmc +1 more source
Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation
In this article, we focus on the global regularity of n-dimensional liquid crystal equations with fractional dissipation terms (−Δ)αu{\left(-\Delta )}^{\alpha }u and (−Δ)βd{\left(-\Delta )}^{\beta }d.
Li Wei, Wu Qiongru
doaj +1 more source
Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc +1 more source
Smooth imploding solutions for 3D compressible fluids
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster+2 more
doaj +1 more source
On blow-up for the supercritical defocusing nonlinear wave equation
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
doaj +1 more source
A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]
Martin CI, Quirchmayr R.
europepmc +1 more source
On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
Pražák Dalibor, Žabenský Josef
doaj +1 more source
Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]
Abels H, Garcke H, Poiatti A.
europepmc +1 more source
Blow-up analysis for a periodic two-component μ-Hunter-Saxton system. [PDF]
Guo Y, Xiong T.
europepmc +1 more source