Existence and uniqueness of strong solutions for a class of compressible non-Newtonian fluids with singularity

Existence and uniqueness of strong solutions for a class of compressible non-Newtonian fluids with singularity

In this paper, the purpose is to discuss the existence and uniqueness of local solutions for a class of singular compressible non-Newtonian flows in one-dimensional bounded interval. The first difficulty is that the equation itself is singular and the initial condition is allowed to be vacuumed. The...

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Veröffentlicht in:Ricerche di matematica 2023-06, Vol.72 (1), p.423-442
Hauptverfasser: Yang, Wucai, Meng, Qiu, Zhao, Yuanyuan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Compressibility
Geometry
Mathematics
Mathematics and Statistics
Newtonian fluids
Non Newtonian flow
Non Newtonian fluids
Numerical Analysis
Probability Theory and Stochastic Processes
Uniqueness
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Zusammenfassung:In this paper, the purpose is to discuss the existence and uniqueness of local solutions for a class of singular compressible non-Newtonian flows in one-dimensional bounded interval. The first difficulty is that the equation itself is singular and the initial condition is allowed to be vacuumed. The other is that the viscosity term and Newtonian potential term are completely nonlinear.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-022-00745-x