메뉴 건너뛰기




Volumn 17, Issue 5, 2007, Pages 737-758

Optimal convergence rates for the compressible Navier-Stokes equations with potential forces

Author keywords

Energy estimates; Navier Stokes equations; Optimal convergence rate

Indexed keywords


EID: 34248393109     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250700208X     Document Type: Article
Times cited : (214)

References (23)
  • 2
    • 51249162091 scopus 로고
    • Decay estimates for the compressible Navier-Stokes equations in unbounded domains
    • K. Deckelnick, Decay estimates for the compressible Navier-Stokes equations in unbounded domains, Math. Z. 209 (1992) 115-130.
    • (1992) Math. Z , vol.209 , pp. 115-130
    • Deckelnick, K.1
  • 3
    • 0001373276 scopus 로고
    • 2-decay for the compressible Navier-Stokes equations in unbounded domains
    • 2-decay for the compressible Navier-Stokes equations in unbounded domains, Comm. Partial Diff. Eqns. 18 (1993) 1445-1476.
    • (1993) Comm. Partial Diff. Eqns , vol.18 , pp. 1445-1476
    • Deckelnick, K.1
  • 4
    • 77249147678 scopus 로고    scopus 로고
    • Optimal convergence rates to the stationary solutions for the Boltzmann equation with potential force
    • preprint
    • R. J. Duan, T. Yang, S. Ukai and H. J. Zhao, Optimal convergence rates to the stationary solutions for the Boltzmann equation with potential force, preprint.
    • Duan, R.J.1    Yang, T.2    Ukai, S.3    Zhao, H.J.4
  • 5
    • 3142517795 scopus 로고    scopus 로고
    • Homogenization and two-scale convergence for a Stokes or Navier-Stokes flow in an elastic thin porous medium
    • I.-A. Ene and J. Paulin, Homogenization and two-scale convergence for a Stokes or Navier-Stokes flow in an elastic thin porous medium, Math. Mod. Meth. Appl. Sci. 6 (1996) 941-955.
    • (1996) Math. Mod. Meth. Appl. Sci , vol.6 , pp. 941-955
    • Ene, I.-A.1    Paulin, J.2
  • 6
    • 0030541229 scopus 로고    scopus 로고
    • Behavior of small finite element structures for the Navier-Stokes equations
    • O. Goubet, Behavior of small finite element structures for the Navier-Stokes equations, Math. Mod. Meth. Appl. Sci. 6 (1996) 1-32.
    • (1996) Math. Mod. Meth. Appl. Sci , vol.6 , pp. 1-32
    • Goubet, O.1
  • 7
    • 0000591519 scopus 로고
    • Multidimensional diffusion waves for the Navier-Stokes equations of compressible flow
    • D. Hoff and K. Zumbrun, Multidimensional diffusion waves for the Navier-Stokes equations of compressible flow, Indiana Univ. Math. J. 44 (1995) 604-676.
    • (1995) Indiana Univ. Math. J , vol.44 , pp. 604-676
    • Hoff, D.1    Zumbrun, K.2
  • 8
    • 0031513195 scopus 로고    scopus 로고
    • Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
    • D. Hoff and K. Zumbrun, Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves, Z. Angew. Math. Phys. 48 (1997) 597-614.
    • (1997) Z. Angew. Math. Phys , vol.48 , pp. 597-614
    • Hoff, D.1    Zumbrun, K.2
  • 9
    • 22944443885 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half space
    • Y. Kagei and T. Kobayashi, Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half space, Arch. Rational Mech. Anal. 177 (2005) 231-330.
    • (2005) Arch. Rational Mech. Anal , vol.177 , pp. 231-330
    • Kagei, Y.1    Kobayashi, T.2
  • 11
    • 0037144874 scopus 로고    scopus 로고
    • Some estimates of solutions for the equations of motion of compressible viscous fluid in an exterior domain in l3
    • T. Kobayashi, Some estimates of solutions for the equations of motion of compressible viscous fluid in an exterior domain in l3, J. Diff. Eqns. 184 (2002) 587-619.
    • (2002) J. Diff. Eqns , vol.184 , pp. 587-619
    • Kobayashi, T.1
  • 13
    • 0032475020 scopus 로고    scopus 로고
    • The pointwise estimates of diffusion waves for the Navier-Stokes equations in odd multi-dimensions
    • T.-P. Liu and W.-K. Wang, The pointwise estimates of diffusion waves for the Navier-Stokes equations in odd multi-dimensions, Comm. Math. Phys. 196 (1998) 145-173.
    • (1998) Comm. Math. Phys , vol.196 , pp. 145-173
    • Liu, T.-P.1    Wang, W.-K.2
  • 14
    • 0001091818 scopus 로고
    • The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
    • A. Matsumura and T. Nishida, The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids, Proc. Jpn. Acad. Ser. A 55 (1979) 337-342.
    • (1979) Proc. Jpn. Acad. Ser. A , vol.55 , pp. 337-342
    • Matsumura, A.1    Nishida, T.2
  • 15
    • 0002321065 scopus 로고
    • The initial value problems for the equations of motion of viscous and heat-conductive gases
    • A. Matsumura and T. Nishida, The initial value problems for the equations of motion of viscous and heat-conductive gases, J. Math. Kyoto Univ. 20 (1980) 67-104.
    • (1980) J. Math. Kyoto Univ , vol.20 , pp. 67-104
    • Matsumura, A.1    Nishida, T.2
  • 16
    • 0000489095 scopus 로고
    • Initial-boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
    • A. Matsumura and T. Nishida, Initial-boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids, Comm. Math. Phys. 89 (1983) 445-464.
    • (1983) Comm. Math. Phys , vol.89 , pp. 445-464
    • Matsumura, A.1    Nishida, T.2
  • 17
    • 11244285209 scopus 로고    scopus 로고
    • Large-time behavior of spherically symmetric solutions to an isentropic model of compressible viscous fluid in a field of potential forces
    • T. Nakamura, S. Nishibata and S. Yanagi, Large-time behavior of spherically symmetric solutions to an isentropic model of compressible viscous fluid in a field of potential forces, Math. Mod. Meth. Appl. Sci. 14 (2004) 1849-1879.
    • (2004) Math. Mod. Meth. Appl. Sci , vol.14 , pp. 1849-1879
    • Nakamura, T.1    Nishibata, S.2    Yanagi, S.3
  • 18
    • 0039039422 scopus 로고
    • Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces
    • A. Novotny, Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces, Math. Mod. Meth. Appl. Sci. 3 (1993) 725-757.
    • (1993) Math. Mod. Meth. Appl. Sci , vol.3 , pp. 725-757
    • Novotny, A.1
  • 19
    • 46549102029 scopus 로고
    • Global existence of small solutions to a class of nonlinear evolution equations
    • G. Ponce, Global existence of small solutions to a class of nonlinear evolution equations, Nonlinear Anal. 9 (1985) 339-418.
    • (1985) Nonlinear Anal , vol.9 , pp. 339-418
    • Ponce, G.1
  • 20
    • 0142118603 scopus 로고    scopus 로고
    • On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance
    • Y. Shibata and K. Tanaka, On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance, J. Math. Soc. Jpn. 55 (2003) 797-826.
    • (2003) J. Math. Soc. Jpn , vol.55 , pp. 797-826
    • Shibata, Y.1    Tanaka, K.2
  • 21
    • 34248373180 scopus 로고    scopus 로고
    • Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
    • preprint
    • Y. Shibata and K. Tanaka, Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid, preprint.
    • Shibata, Y.1    Tanaka, K.2
  • 22
    • 34248397917 scopus 로고    scopus 로고
    • Convergence rate for the compressible Navier-Stokes equations with external force
    • preprint
    • S. Ukai, T. Yang and H.-J. Zhao, Convergence rate for the compressible Navier-Stokes equations with external force, J. Hyperbolic Diff. Eqns., preprint.
    • J. Hyperbolic Diff. Eqns
    • Ukai, S.1    Yang, T.2    Zhao, H.-J.3
  • 23
    • 33645003502 scopus 로고    scopus 로고
    • Power-rate asymptotic expansion for ID viscous heat-conducting gas flows
    • A. Zlotnik, Power-rate asymptotic expansion for ID viscous heat-conducting gas flows, Math. Mod. Meth. Appl. Sci. 16 (2006) 397-413.
    • (2006) Math. Mod. Meth. Appl. Sci , vol.16 , pp. 397-413
    • Zlotnik, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.