<p>We show that the steady and unsteady system of transport equations with a nonhomogeneous right-hand side can be extended from its domain with an impermeable boundary to the whole space. We consider that the domain is either a bounded domain, an exterior domain, both possessing the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^2\)</EquationSource> </InlineEquation>-boundary or the upper half-space.</p>

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Extensibility of a system of transport equations in the case of an impermeable boundary

  • Martin Kalousek,
  • Šárka Nečasová,
  • Anja Schlömerkemper

摘要

We show that the steady and unsteady system of transport equations with a nonhomogeneous right-hand side can be extended from its domain with an impermeable boundary to the whole space. We consider that the domain is either a bounded domain, an exterior domain, both possessing the \(C^2\) -boundary or the upper half-space.