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4 papers · 2 filters
Doubly nonlinear equation involving -homogeneous operators: local existence, uniqueness and global behaviour
Rakesh Arora, Jacques Giacomoni, Guillaume Warnault
In this work, we investigate the qualitative properties as uniqueness, regularity and stabilization of the weak solution to the nonlinear parabolic problem involving general …
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights
R. Arora, J. Giacomoni, T. Mukherjee +1
In this work, we study the higher order Kirchhoff type Choquard equation involving a critical exponential non-linearity and singular weights. We prove the existence of solut…
Regularity results on a class of doubly nonlocal problems
Jacques Giacomoni, Divya Goel, K. Sreenadh
The purpose of this article is twofold. First, an issue of regularity of weak solution to the problem (See below) is addressed. Secondly, we investigate the question of …
Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis
Cherif Amrouche, Luigi C. Berselli, Roger Lewandowski +1
We model a 3D turbulent fluid, evolving toward a statistical equilibrium, by adding to the equations for the mean field a term like . This is…