Global existence of weak solutions for the 3D chemotaxis-Euler equations

DOI10.1007/S13398-016-0374-3zbMath1384.35077OpenAlexW2568002485MaRDI QIDQ683614

Qian Zhang, Guochun Zhang

Publication date: 8 February 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0374-3

zbMATH Keywords

weak solutionschemotaxisglobal existenceEulerZygmund spaces

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (2)

Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term ⋮ Global well-posedness of 2D chemotaxis Euler fluid systems

Cites Work

• Unnamed Item
• A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
• Blowup of solutions to generalized Keller-Segel model
• A coupled chemotaxis-fluid model: global existence
• Initiation of slime mold aggregation viewed as an instability
• On the inviscid limit of the three dimensional incompressible chemotaxis-Navier-Stokes equations
• The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• Local well-posedness for the chemotaxis-Navier-Stokes equations in Besov spaces
• Bacterial swimming and oxygen transport near contact lines
• Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
• Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
• COUPLED CHEMOTAXIS FLUID MODEL
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Blowup criterion of smooth solutions for the incompressible chemotaxis-Euler equations

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