Development of local, global, and trace estimates for the solutions of elliptic equations
, 2001 Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley +1 more source
Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain
Journal of Partial Differential Equations, 2019 This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain.
Xin-Guang Yang and Shubin Wang sci
semanticscholar +1 more source
An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations
, 2009 We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.Comment: Submitted for the proceedings of the conference "Stochastic partial differential ...
Romito, Marco
core +1 more source
Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
, 2018 The Navier--Stokes equations are commonly used to model and to simulate flow phenomena. We introduce the basic equations and discuss the standard methods for the spatial and temporal discretization.
AJ Chorin +37 more
core +1 more source
A Liouville theorem for the Degasperis-Procesi equation [PDF]
, 2015 We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
core
Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions
, 2011 The paper is concerned with the vanishing viscosity limit of the two-dimensional degenerate viscous lake equations when the Navier slip conditions are prescribed on the impermeable boundary of a simply connected bounded regular domain.
Bresch D +10 more
core +1 more source
Local stability of energy estimates for the Navier--Stokes equations
, 2017 We study the regularity of the weak limit of a sequence of dissipative solutions to the Navier--Stokes equations when no assumptions is made on the behavior of the ...
Chamorro, Diego +2 more
core +1 more source
On geometrical properties of starlike logharmonic mappings
, 2018 In this paper, we find the radius of the disk Ωr such that every starlike logharmonic mapping f (z) of order α , is starlike in |z| r with respect to any point of Ωr .
Z. Abdulhadi, L. Hajj
semanticscholar +1 more source
On the Leray-Hopf Extension Condition for the Steady-State Navier-Stokes Problem in Multiply-Connected Bounded Domains [PDF]
, 2013 Employing the approach of A. Takeshita [Pacific J. Math., Vol. 157 (1993), 151--158], we give an elementary proof of the invalidity of the Leray-Hopf Extension Condition for certain multiply connected bounded domains of R^n, n=2,3, whenever the flow ...
Galdi, Giovanni P.
core
, 2017 The present work addresses the entropy generation in the flow of an incompressible viscous fluid through porous parallel walls subjected to asymmetric slip and convective heating conditions.
J. Falade +3 more
semanticscholar +1 more source