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
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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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
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Local and global solvability for the Boussinesq system in Besov spaces
This article focuses on local and global existence and uniqueness for the strong solution to the Boussinesq system in Rn{{\mathbb{R}}}^{n} (n≥3n\ge 3) with full viscosity in Besov spaces.
Yan Shuokai, Wang Lu, Zhang Qinghua
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Modelling of the fluid flow in a thin domain with injection through permeable boundary
In this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
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Mathematical modelling of the cardiovascular system
In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system.
Quarteroni, Alfio
core
On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations
When the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Brzeźniak Z, Dhariwal G, Le Gia QT.
europepmc +1 more source
COMPUTING ILL-POSED TIME-REVERSED 2D NAVIER-STOKES EQUATIONS, USING A STABILIZED EXPLICIT FINITE DIFFERENCE SCHEME MARCHING BACKWARD IN TIME. [PDF]
Carasso AS.
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