Kinetic theory. Fast density oscillations

  • Pavel Plotnikov
  • Jan Sokołowski
Part of the Monografie Matematyczne book series (MONOGRAFIE, volume 73)


In Chapter 5 the existence of renormalized solutions to problem (5.1.12) is proved under restrictive regularity assumptions on the flow domain, the given data U, \( \varrho \;\infty \), and the constitutive relation p = p(\( \varrho \;\infty \)).


Kinetic Equation Kinetic Theory Weak Limit Integral Identity Young Measure 
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Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Pavel Plotnikov
    • 1
  • Jan Sokołowski
    • 2
  1. 1.Siberian Branch of RAS Lavrentyev Institute of HydrodynamicsNovosibirskRussia
  2. 2.Institut Élie Cartan de Nancy, UMR 7502Université de Lorraine, CNRSVandœuvre-lès-NancyFrance

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