Boundary value problems for transport equations

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


The first order scalar differential equation \( {\rm \mathbf{u}} . \nabla \varphi + b\varphi = f ,\) which is called the transport equation, is one of the basic equations of mathematical physics. It is widely used for mathematical modeling of mass and heat transfer and plays an important role in kinetic theory of such phenomena.


Weak Solution Transport Equation Implicit Function Theorem Integral Identity Integral Curf 
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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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