The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere

Paul Godin

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 6, page 2227-2252
  • ISSN: 0294-1449

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Godin, Paul. "The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere." Annales de l'I.H.P. Analyse non linéaire 26.6 (2009): 2227-2252. <http://eudml.org/doc/78932>.

@article{Godin2009,
author = {Godin, Paul},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {compressible Euler equations; exterior initial-boundary value problem; spherically symmetric solutions; lifespan},
language = {eng},
number = {6},
pages = {2227-2252},
publisher = {Elsevier},
title = {The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere},
url = {http://eudml.org/doc/78932},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Godin, Paul
TI - The lifespan of spherically symmetric solutions of the compressible Euler equations outside an impermeable sphere
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 6
SP - 2227
EP - 2252
LA - eng
KW - compressible Euler equations; exterior initial-boundary value problem; spherically symmetric solutions; lifespan
UR - http://eudml.org/doc/78932
ER -

References

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  2. [2] Godin P., Long time behaviour of solutions to some nonlinear rotation invariant mixed problems, Comm. Partial Differential Equations14 (3) (1989) 299-374. Zbl0676.35065MR987056
  3. [3] Godin P., The lifespan of a class of smooth spherically symmetric solutions of the compressible Euler equations with variable entropy in three space dimensions, Arch. Ration. Mech. Anal.177 (2005) 479-511. Zbl1075.76052MR2187620
  4. [4] Godin P., The lifespan of solutions of exterior radial quasilinear Cauchy–Neumann problems, J. Hyperbolic Differ. Equ.5 (3) (2008) 519-546. Zbl1162.35417MR2441090
  5. [5] Guès O., Problème mixte hyperbolique quasi-linéaire caractéristique, Comm. Partial Differential Equations15 (5) (1990) 595-645. Zbl0712.35061MR1070840
  6. [6] Hörmander L., The Analysis of Linear Partial Differential Operators I, Grundlehren Math. Wiss., vol. 256, Springer, Berlin, 1983. Zbl0521.35001MR717035
  7. [7] Hörmander L., The lifespan of classical solutions of non-linear hyperbolic equations, in: Cordes H.O., Gramsch B., Widom H. (Eds.), Pseudo-Differential Operators, Lecture Notes in Math., vol. 1256, Springer, Berlin, 1987, pp. 214-280. Zbl0632.35045MR897781
  8. [8] John F., Blow-up of radial solutions of u t t = c 2 u t Δ u in three space dimensions, Mat. Apl. Comput.4 (1) (1985) 3-18. Zbl0597.35082MR808321
  9. [9] Klainerman S., Sideris T., On almost global existence for nonrelativistic wave equations in 3D, Comm. Pure Appl. Math.49 (1996) 307-322. Zbl0867.35064MR1374174
  10. [10] Schochet S., The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit, Comm. Math. Phys.104 (1986) 49-75. Zbl0612.76082MR834481
  11. [11] Secchi P., Well-posedness of characteristic symmetric hyperbolic systems, Arch. Ration. Mech. Anal.134 (1996) 155-197. Zbl0857.35080MR1405665
  12. [12] Sideris T., Delayed singularity formation in 2D compressible flow, Amer. J. Math.119 (1997) 371-422. Zbl0876.35091MR1439554

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