Mathematical modelling of the cardiovascular system [PDF]
Proceedings of the ICM, Beijing 2002, vol. 3, 839--850, 2003 In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system. In particular, we will focus our attention on the problem of haemodynamics in large human arteries.
arxiv
Local and global solvability for the Boussinesq system in Besov spaces
Open MathematicsThis 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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Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces
Advances in Nonlinear Analysis, 2017 As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
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On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains [PDF]
arXiv, 2007 We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.
arxiv
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Forum of Mathematics, SigmaThis 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
Advances in Nonlinear Analysis, 2017 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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Global regularity for the 3D Navier-Stokes and the 3D Euler equations [PDF]
arXiv, 2007 The article `Global regularity for the 3D Navier-Stokes and the 3D Euler equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.
arxiv
Smooth imploding solutions for 3D compressible fluids
Forum of Mathematics, PiBuilding 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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On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations [PDF]
arXiv, 2007 We prove new \emph{a priori} estimates for the 3D Euler, the 3D Navier-Stokes and the 2D quasi-geostrophic equations by the method of similarity transforms.
arxiv
Liouville Type Theorem for Stationary Navier-Stokes Equations [PDF]
, 2015 It is shown that any smooth solution to the stationary Navier-Stokes system in $R^3$ with the velocity field, belonging globally to $L_6$ and $BM0^{-1}$, must be zero.
arxiv +1 more source