Journal of Mathematical Fluid Mechanics

, Volume 18, Issue 2, pp 381–396 | Cite as

Global Existence of Strong Solutions to the Cucker–Smale–Stokes System

  • Hyeong-Ohk Bae
  • Young-Pil Choi
  • Seung-Yeal Ha
  • Moon-Jin Kang
Article

Abstract

A coupled kinetic–fluid model describing the interactions between Cucker–Smale flocking particles and a Stokes fluid is presented. We demonstrate the global existence and uniqueness of strong solutions to this coupled system in a three-dimensional spatially periodic domain for initial data that are sufficiently regular, but not necessarily small.

Keywords

Kinetic–fluid equations Cucker–Smale model Vlasov equations Stokes equations 

Mathematics Subject Classification

Primary 92D25 Secondary 74A25 Tertiary 76N10 

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Copyright information

© Springer International Publishing 2015

Authors and Affiliations

  • Hyeong-Ohk Bae
    • 1
  • Young-Pil Choi
    • 2
  • Seung-Yeal Ha
    • 3
  • Moon-Jin Kang
    • 4
  1. 1.Department of Financial EngineeringAjou UniversitySuwonKorea
  2. 2.Department of MathematicsImperial College LondonLondonUK
  3. 3.Department of Mathematical SciencesSeoul National UniversitySeoulKorea
  4. 4.Department of Mathematical SciencesUniversity of Texas at AustinAustinUSA

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