Advertisement

Boundary value problems for transport equations

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

Abstract

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.

Keywords

Weak Solution Transport Equation Implicit Function Theorem Integral Identity Integral Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations