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

Bahrouni, Anouar (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: Baouendi-Grushin operator, Caffarelli-Kohn-Nirenberg inequality, transonic flow, nonlinear eigenvalue problem, variable exponent
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 2481-2495
• Numbering: Vol. 32, no. 7
• PID: 20.500.12556/RUL-108780
• UDC: 517.956
• ISSN on article: 0951-7715
• DOI: 10.1088/1361-6544/ab0b03
• COBISS.SI-ID: 18652505
• Publication date in RUL: 23.07.2019

Record is a part of a journal

• Title: Nonlinearity
• Shortened title: Nonlinearity
• Publisher: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569