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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries
Advanced Nonlinear StudiesIn this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ .
Dong Jianwei, Yuen Manwai
doaj +1 more source
Modelling of the fluid flow in a thin domain with injection through permeable boundary
European Journal of Applied MathematicsIn 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
doaj +1 more source
Mathematical modelling of the cardiovascular system
, 2002 In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system.
Quarteroni, Alfio
core
Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Entropy (Basel), 2022 Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 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]
Inverse Probl Sci Eng, 2020 Carasso AS.
europepmc +1 more source
STABLE EXPLICIT STEPWISE MARCHING SCHEME IN ILL-POSED TIME-REVERSED 2D BURGERS' EQUATION. [PDF]
Inverse Probl Sci Eng, 2019 Carasso AS.
europepmc +1 more source