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The goal of this paper is to study a nonlinear system modeling the heat diffusion produced by Joule effect in an electric conductor. Existence, uniqueness, smoothness, and blowup in particular are… (More)

AbstractWe study the system of equations describing a stationary thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor S has the form
$\displaystyle… (More)

Abstract We study the Dirichlet problem for the elliptic equations − ∑ i D i ( a i ( x , u ) | D i u | p i ( x ) − 2 D i u ) + c ( x , u ) | u | σ ( x ) − 2 u = f ( x ) in a bounded domain Ω ⊂ R n ,… (More)

In this paper, we are interested in the mathematical analysis of a geological stratigraphic model, taking into account a limited weathering condition. Firstly, we present the physical model and the… (More)

Abstract We consider the flow of an ideal fluid in a 2D bounded domain, admitting flows through the boundary of this domain. The flow is described by Euler equations with non-homogeneous Navier slip… (More)

Abstract Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as… (More)

{( ) u(x; 0) = u0(x); ut(x; 0) = u1(x); x ∈ Ω; u| T = 0; ΓT = @Ω: (1) The coefficients a(x;t); (x;t); b(x;t); exponents p(x;t); (x;t) and the source term f (x;t) are given functions of their… (More)

This work deals with the study to a nonlinear degenerated pseudoparabolic problem. Arising from the modelling of sedimentary basins formation, the equation degenerates in order to take implicitly… (More)