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Research in Mathematics of Materials Science
- 1.0562938 - MÚ 2023 RIV CH eng M - Monography Chapter
Blanc, X. - Ducomet, B. - Nečasová, Šárka
On some models in radiation hydrodynamics.
Research in Mathematics of Materials Science. 1. Cham: Springer, 2022 - (Español, M.; Lewicka, M.; Scardia, L.; Schlömerkemper, A.), s. 79-102. Association for Women in Mathematics Series, 31. ISBN 978-3-031-04495-3
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : full system * inviscid fluid * radiation hydrodynamics * semi-relativistic case * strong solution
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-031-04496-0_4
The paper is a review on the problem of the compressible radiation hydrodynamics. We focus on the weak solutions of the full viscous system coupled with radiation and their generalization (semi-relativistic case) in a bounded domain Ω⊂ ℝ3. Moreover, we study the strong solutions of the inviscid system with damping term or Euler–Maxwell’s system coupled with radiation in the whole space ℝ3.
Permanent Link: https://hdl.handle.net/11104/0335091
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