6 papers
A convexity criterion via the De Giorgi slope
Tahar Z. Boulmezaoud, Aris Daniilidis, Trí Minh Lê
Let be a Banach space and be bounded from below. We show that if for some , the function is convex, then is con…
On Navier-Stokes equations arising from the rotation of an obstacle in a fluid
Tahar Zamène Boulmezaoud, Nabil Kerdid, Amel Kourta
We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the b…
A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization
Tahar Zamene Boulmezaoud
The primary aim of this paper is the derivation and the proof of a simple and tractable formula for the stray field energy in micromagnetic problems. The formula is based on an exp…
Stray field computation by inverted finite elements: a new method in micromagnetic simulations
Tahar Zamene Boulmezaoud, Keltoum Kaliche
In this paper, we propose a new method for computing the stray-field and the corresponding energy for a given magnetization configuration. Our approach is based on the use of inver…
Unification of the mathematical model of elastic perfectly plastic solids: a convex analysis approach
Tahar Z Boulmezaoud, Boualem Khouider
A new mathematical formulation for the constitutive laws governing elastic perfectly plastic materials is proposed here. In particular, it is shown that the elastic strain rate and…
Gradient flows, second order gradient systems and convexity
Tahar Boulmezaoud, Philippe Cieutat, Aris Daniilidis
We disclose an interesting connection between the gradient flow of a -smooth function and evanescent orbits of the second order gradient system defined by the sq…