The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence

H. Beirão da Veiga

Annales de l'I.H.P. Analyse non linéaire (1994)

  • Volume: 11, Issue: 3, page 297-311
  • ISSN: 0294-1449

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Beirão da Veiga, H.. "The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence." Annales de l'I.H.P. Analyse non linéaire 11.3 (1994): 297-311. <http://eudml.org/doc/78333>.

@article{BeirãodaVeiga1994,
author = {Beirão da Veiga, H.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Euler equations; structural stability; sharp data dependence; compressible inviscid fluids},
language = {eng},
number = {3},
pages = {297-311},
publisher = {Gauthier-Villars},
title = {The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence},
url = {http://eudml.org/doc/78333},
volume = {11},
year = {1994},
}

TY - JOUR
AU - Beirão da Veiga, H.
TI - The initial-boundary value problem for the non-barotropic compressible Euler equations : structural-stability and data dependence
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 3
SP - 297
EP - 311
LA - eng
KW - Euler equations; structural stability; sharp data dependence; compressible inviscid fluids
UR - http://eudml.org/doc/78333
ER -

References

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  1. [A] R. Agemi, The Initial Boundary Value Problem for Inviscid Barotropic Fluid Motion, Hokkaido Math., J., Vol. 10, 1981, pp. 156-182. Zbl0472.76065MR616950
  2. [BV1] H. Beirão da veiga, Un théorème d'existence dans la dynamique des fluides compressibles, C. R. Acad. Sci. Paris, Vol. 289, 1979, pp. 297-299. MR558813
  3. [BV2] H. Beirão da veiga, On the Barotropic Motion of Compressible Perfect Fluids, Ann. Sc. Norm. Sup. Pisa, 1981, pp. 317-351. Zbl0477.76059MR623940
  4. [BV3] H. Beirão da veiga, Perturbation Theory and Well-posedness in Hadamard's Sense of Hyperbolic Initial-Boundary Value Problems, preprint 2-71 (582), Department of Mathematics, Univ. of Pisa (April 1991), JNA: TMA (to appear). Zbl0818.35057MR1205375
  5. [BV4] H. Beirão da veiga, Data Dependence in the Mathematical Theory of Compressible Inviscid Fluids, Arch. Rat. Mech. Analysis, Vol. 119, 1992, pp. 109-127. Zbl0754.76068MR1176361
  6. [BV5] H. Beirão da veiga, Perturbation Theorems for Linear Hyperbolic Mixed Problems and Applications to the Compressible Euler Equations, Comm. Pure Appl. Math., Vol. 46, 1993, pp. 221-259. Zbl0791.35102MR1199199
  7. [BV6] H. Beirão da veiga, Structural-stability and Data Dependence for Fully Non-linear Hyperbolic Problems, Arch. Rat. Mech. Analysis, Vol. 120, 1992, pp. 51-60. Zbl0801.35083MR1182407
  8. [BV7] H. Beirão da veiga, On the Singular Limit for Slightly Compressible Fluids, preprint, Math. Dept. Univ. Pisa 2.98 (637), May 1992, Calculus of Variations and P.D.E.'s (to appear). Zbl0805.35009MR1385526
  9. [E1] D.G. Ebin, The Initial Boundary Value Problem for Sub-sonic Fluid Motion, Comm. Pure Appl. Math., Vol. 32, 1979, pp. 1-19. Zbl0378.76043MR508916
  10. [E2] D.G. Ebin, The Motion of Slightly Compressible Fluids Viewed as Motion with a Strong Constraining Force, Annals of Math., Vol. 105, 1977, pp. 141-200. Zbl0373.76007MR431261
  11. [E3] D.G. Ebin, Motion of Slightly Compressible Fluids in a Bounded Domain, Comm. Pure Appl. Math., Vol. 35, 1982, pp. 451-485. Zbl0478.76011MR657824
  12. [KMa1] S. Klainerman and A. Majda, Singular Limits of Quasilinear Hyperbolic Systems with Large Parameters and the Incompressible Limit of Compressible Fluids, Comm. Pure Appl. Math., Vol. 34, 1981, pp. 481-524. Zbl0476.76068MR615627
  13. [KMa2] S. Klainerman and A. Majda, Compressible and Incompressible Fluids, Comm. Pure Appl. Math., Vol. 35, 1982, pp. 629-653. Zbl0478.76091MR668409
  14. [Ma] A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Dimensions, Springer-Verlag, Appl. Math. Sci., Vol. 53, New York, 1984. Zbl0537.76001
  15. [Sc1] S. Schochet, The Compressible Euler Equations in a Bounded Domain: Existence of Solutions and the Compressible Limit, Comm. Math. Phys., Vol. 104, 1986, pp. 49-75. Zbl0612.76082MR834481
  16. [Sc2] S. Schochet, Singular Limits in Bounded Domains for Quasi-linear Symmetric Hyperbolic Systems Having a Vorticity Equation, J. Diff. Eq., Vol. 68, 1987, pp. 400-428. Zbl0633.35047MR891336

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