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174 papers
Trace and Hardy-Sobolev type inequalities and applications to a quasilinear elliptic problem in half-space
Loïc Constantin, Ranieri França Freire, Jacques Giacomoni
In the present paper we are dealing with the following quasilinear elliptic problem: \begin{equation*} \begin{cases} -\mathrm{div}(ρ(x_N) |\nabla u|^{p-2}\nabla u) =a|u|^{s-2}u &\m…
Relationship between the level of mental fatigue induced by a prolonged cognitive task and the degree of balance disturbance
Frédéric Noé, Betty Hachard, Hadrien Ceyte +2
This study investigated the effects of mental fatigue (MF) induced by a 90-min AX-continuous performance test (AX-CPT) on balance control by addressing the issue of the heterogenei…
Modules of logarithmic derivations in weighted projective spaces and applications to free divisors
Jorge Martín-Morales, Wayne Ng Kwing King
We introduce a weighted version of the module of logarithmic derivations of a divisor in weighted projective space, and provide a generalization of Saito's criterion for freeness i…
Flux-equilibrated based a posteriori error analysis for an interface problem with CutFEM
Daniela capatina, Aimene Gouasmi
This paper addresses the local recovery of conservative fluxes and the a posteriori error analysis for an elliptic interface problem with discontinuous coefficients. The transmissi…
Logistic elliptic and parabolic problem for the fractional -Laplacian
Loïc Constantin, Carlos Alberto Santos, Guillaume Warnault
In this paper we prove existence, uniqueness of weak solutions of the following nonlocal nonlinear logistic equation \begin{equation*} \begin{cases} (-Δ)_p^s u_λ=λu_λ^q - b(x)u_λ^r…
A spatio-temporal random synthetic turbulent velocity field: The underlying Gaussian structure
Matthieu Chatelain, Júlia Domingues Lemos, Wandrille Ruffenach +5
We develop, simulate and extend an initial proposition by Chaves et al. concerning a random incompressible vector field able to reproduce key ingredients of three-dimensional turbu…