Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations
Analysis of PDEs
2025-03-05 v1
Abstract
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, assuming more regularity for the initial data, we study the large-time behavior of these solutions by comparing them to the solutions of the linearized equations. As a consequence, we obtain lower bounds for the solutions. Other auxiliary results of interest are discussed.
Cite
@article{arxiv.2503.02590,
title = {Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations},
author = {Felipe W. Cruz and César J. Niche and Cilon F. Perusato and Marko Rojas-Medar},
journal= {arXiv preprint arXiv:2503.02590},
year = {2025}
}