4 papers
The Asymptotic Behaviour of Oldroyd-B Fluids is Almost Newtonian
Matthias Hieber, Thieu Huy Nguyen, César J. Niche +1
Consider a viscoelastic fluid of Oldroyd-B type. It is shown that its stress tensor and its Newtonian deformation tensor decay at the same rate, while the elastic part…
Dynamics of dissipative solutions to the Hardy-Sobolev parabolic equation
Masahiro Ikeda, César J. Niche, Gabriela Planas
We study the long-time behaviour of solutions to the Hardy-Sobolev parabolic equation in critical function spaces for any spatial dimension . By employing the Fourier spl…
Global dynamics for the energy-critical nonlinear heat equation
Masahiro Ikeda, César J. Niche, Gabriela Planas
We examine the energy-critical nonlinear heat equation in critical spaces for any dimension greater or equal than three. The aim of this paper is two-fold. First, we establish a ne…
Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations
Felipe W. Cruz, César J. Niche, Cilon F. Perusato +1
We establish new asymptotic results for the solutions of the second-grade fluids equations and characterize their decay rate in terms of the behavior of the initial data. Moreover,…