41 citations · 52 across the 15 of their papers we have counts for
18 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 $…
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,…
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…
Global well-posedness for a family of regularized Benjamin-type equations
Izabela Patrício Bastos, Daniel G. Alfaro Vigo, Ailín Ruiz de Zárate Fábregas +2
In this work we prove local and global well-posedness results for the Cauchy problem of a family of regularized nonlinear Benjamin-type equations in both periodic and nonperiodic S…
Decay rates for the 4D energy-critical nonlinear heat equation
Leonardo Kosloff, César J. Niche, Gabriela Planas
In this paper we address the decay of solutions to the four-dimen\-sional energy-critical nonlinear heat equation in the critical space . Recently, it was proven that th…