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arXiv · 1906.02609

Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves

Anouar Bahrouni·Vicenţiu D. Rădulescu·Dušan D. Repovš
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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.

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Anouar Bahrouni, Vicenţiu D. Rădulescu, Dušan D. Repovš. 2019-06-06. Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. https://doi.org/10.1088/1361-6544/ab0b03

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