The Navier–Stokes problem modified by an absorption term

SN Antontsev, HB de Oliveira - Applicable Analysis, 2010 - Taylor & Francis
It is well known that for the classical Navier–Stokes problem the best one can obtain is some
decays in time of power type. With this in mind, we consider in this work, the classical Navier …

Division by zero calculus and differential equations

S Pinelas, S Saitoh - International Conference on Differential & Difference …, 2017 - Springer
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[HTML][HTML] Kelvin–Voigt equations perturbed by anisotropic relaxation, diffusion and damping

SN Antontsev, HB de Oliveira, K Khompysh - Journal of Mathematical …, 2019 - Elsevier
The purpose of this work is the analysis of the existence and uniqueness of weak solutions
to a Kelvin–Voigt problem wherein the viscous and relaxation parts of the stress tensor are …

Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media

HB de Oliveira - Opuscula Mathematica, 2024 - opuscula.agh.edu.pl
In this work, we study a one-equation turbulence\(k\)-epsilon model that governs fluid flows
through permeable media. The model problem under consideration here is derived from the …

Stopping a viscous fluid by a feedback dissipative field: thermal effects without phase changing

SN Antontsev, JI Díaz, HB de Oliveira - Trends in Partial Differential …, 2005 - Springer
We show how the action on two simultaneous effects (a suitable coupling about velocity and
temperature and a low range of temperature but upper that the phase changing one) may be …

Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior

S Antontsev, HB De Oliveira… - Asymptotic Analysis, 2021 - content.iospress.com
A nonlinear initial and boundary-value problem for the Kelvin–Voigt equations with
anisotropic diffusion, relaxation and absorption/damping terms is considered in this work …

Stopping a viscous fluid by a feedback dissipative field: I. The stationary Stokes problem

SN Antontsev, JI Díaz, HB De Oliveira - Journal of Mathematical Fluid …, 2004 - Springer
We consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite
strip governed by the Stokes system with a body forces field. We show how this fluid can be …

Existence of weak solutions for the generalized Navier–Stokes equations with damping

HB de Oliveira - Nonlinear Differential Equations and Applications …, 2013 - Springer
In this work we consider the generalized Navier–Stokes equations with the presence of a
damping term in the momentum equation. The problem studied here derives from the set of …

CONTINUOUS/DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF A 2D NAVIER-STOKES PROBLEM ARISING IN FLUID CONFINEMENT.

H DE OLIVEIRA… - International Journal of …, 2024 - search.ebscohost.com
In this work, a stationary 2d Navier-Stokes problem with nonlinear feedback forces field is
considered in the stream-function formulation. We use the Continuous/Discontinuous Finite …

Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier–Stokes equations

L Qian, S Dongyang - Computational and Applied Mathematics, 2021 - Springer
The main aim of this paper is to develop a nonconforming mixed finite element method for
the time-dependent Navier–Stokes problem with nonlinear damping term. The …