Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
Analysis of PDEs
2019-07-24 v2 Mathematical Physics
math.MP
Abstract
In this paper we are concerned with a class of double phase energy functionals arising in the theory of transonic flows. Their main feature is that the associated Euler equation is driven by the Baouendi-Grushin operator with variable coefficient. This partial differential equation is of mixed type and possesses both elliptic and hyperbolic regions. After establishing a weighted inequality for the Baouendi-Grushin operator and a related compactness property, we establish the existence of stationary waves under arbitrary perturbations of the reaction.
Keywords
Cite
@article{arxiv.1906.02609,
title = {Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves},
author = {Anouar Bahrouni and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1906.02609},
year = {2019}
}