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TWO DIMENSIONAL subsonic AND subsonic-sonic SPIRAL FLOWS OUTSIDE A POROUS BODY

Acta Mathematica Scientia 2022年第4期42卷 1569-1584页

作者： Shangkun WENG Zihao ZHANG School of Mathematics and Statistics Wuhan UniversityWuhan 430072China

In this paper,we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous *** existence and uniqueness of the subsonic spiral flow are obtained via variational formulation,which tends to a given radially symmetric subsonic spiral flow at far *** optimal decay rate at far field is also derived by Kelvin ’s transformation and some elliptic *** extracting spiral subsonic solutions as the approximate sequences,we obtain the spiral subsonic-sonic limit solution by utilizing the compensated *** main ingredients of our analysis are methods of calculus of variations,the theory of second-order quasilinear equations and the compensated compactness framework.

关键词： subsonic spiral flows Euler equations subsonic-sonic limit a porous body

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On subsonic and subsonic-sonic Flows with General Conservatives Force in Exterior Domains

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Acta Mathematicae Applicatae Sinica 2023年第1期39卷 3-16页

作者： Xumin GU Tian-Yi WANG Department of Mathematics Shanghai University of Finance and EconomicsShanghai 200433China Department of Mathematics School of ScienceWuhan University of TechnologyWuhan 430070China The Institute of Mathematical Sciences the Chinese University of Hong KongShatinN.T.Hong Kong Gran Sasso Science Institute viale Francesco Crispi767100 L'AquilaItaly

In this paper, we study the irrotational subsonic and subsonic-sonic fows with general conservative forces in the exterior domains. The conservative forces indicate the new Bernoulli law naturally. For the subsonic case, we introduce a modified cut-off system depending on the conservative forces which needs the varied Bers skill, and construct the solution by the new variational formula. Moreover, comparing with previous results, our result extends the pressure-density relation to the general case. Afterwards we obtain the subsonic-sonic limit solution by taking the extract subsonic solutions as the approximate sequences.

关键词： steady fow homentropic irrotation subsonic fow subsonic-sonic limit

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ON subsonic AND subsonic-sonic FLOWS IN THE INFINITY LONG NOZZLE WITH GENERAL CONSERVATIVES FORCE

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Acta Mathematica Scientia 2017年第3期37卷 752-767页

作者：顾旭旻王天怡 Department of Mathematics Shanghai University of Finance and Economics Shanghai 200433 China Department of Mathematics School of Science Wuhan University of Technology Wuhan 430070 China Gran Sasso Science Institute viale Francesco Crispi 7 67100 L 'Aquila Italy

In this article, we study irrotational subsonic and subsonic-sonic flows with gen- eral conservative forces in the infinity long nozzle. For the subsonic case, the varified Bernoulli law leads a modified cut-off system. Because of the local average estimate, conservative forces do not need any decay condition. Afterwards, the subsonic-sonic limit solutions are constructed by taking the extract subsonic solutions as the approximate sequences.

关键词： Steady flow homentropic irrotation subsonic flow subsonic-sonic limit

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