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Volumn 13, Issue 1, 2011, Pages 1-31

Asymptotic behavior of solutions of the compressible navier-stokes equation around the plane couette flow

Author keywords

Asymptotic behavior; Compressible Navier Stokes equation; Plane couette flow

Indexed keywords

ASYMPTOTIC BEHAVIOR OF SOLUTIONS; ASYMPTOTIC BEHAVIORS; ASYMPTOTICALLY STABLE; COMPRESSIBLE NAVIER-STOKES EQUATIONS; HEAT EQUATION; PLANE COUETTE FLOW; REYNOLDS;

EID: 84856300360     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-009-0019-9     Document Type: Article
Times cited : (30)

References (13)
  • 1
    • 2942676412 scopus 로고    scopus 로고
    • On a Resolvent Estimate of the Stokes Equation on an Infinite Layer Part 2, Lambda = 0 Case
    • Abe, T., Shibata, Y.: On a resolvent estimate of the Stokes equation on an infinite layer part 2, λ = 0 case. J. Math. Fluid Mech. 5, 245-274 (2003) (Pubitemid 36904874)
    • (2003) Journal of Mathematical Fluid Mechanics , vol.5 , Issue.3 , pp. 245-274
    • Abe, T.1    Shibata, Y.2
  • 2
    • 85016902932 scopus 로고    scopus 로고
    • Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer
    • Kagei, Y.: Resolvent estimates for the linearized compressible Navier-Stokes equation in an infinite layer. Funkcial. Ekvac. 50, 287-337 (2007)
    • (2007) Funkcial. Ekvac. , vol.50 , pp. 287-337
    • Kagei, Y.1
  • 3
    • 36648999998 scopus 로고    scopus 로고
    • Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer
    • Kagei, Y.: Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer. Publ. Res. Inst. Math. Sci. 43, 763-794 (2007)
    • (2007) Publ. Res. Inst. Math. Sci. , vol.43 , pp. 763-794
    • Kagei, Y.1
  • 4
    • 57049180051 scopus 로고    scopus 로고
    • Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer
    • Kagei, Y.: Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer. Hiroshima Math. J. 38, 95-124 (2008)
    • (2008) Hiroshima Math. J. , vol.38 , pp. 95-124
    • Kagei, Y.1
  • 5
    • 34748897181 scopus 로고    scopus 로고
    • Local solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system
    • Kagei, Y., Kawashima, S.: Local solvability of initial boundary value problem for a quasilinear hyperbolic-parabolic system. J. Hyperbolic Differ. Equ. 3, 195-232 (2006)
    • (2006) J. Hyperbolic Differ. Equ. , vol.3 , pp. 195-232
    • Kagei, Y.1    Kawashima, S.2
  • 6
    • 33746214642 scopus 로고    scopus 로고
    • Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
    • DOI 10.1007/s00220-006-0017-1
    • Kagei, Y., Kawashima, S.: Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Comm. Math. Phys. 266, 401-430 (2006) (Pubitemid 44091001)
    • (2006) Communications in Mathematical Physics , vol.266 , Issue.2 , pp. 401-430
    • Kagei, Y.1    Kawashima, S.2
  • 8
    • 22944443885 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half space
    • DOI 10.1007/s00205-005-0365-6
    • Kagei, Y., Kobayashi, T.: Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space. Arch. Ration. Mech. Anal. 177, 231-330 (2005) (Pubitemid 41053544)
    • (2005) Archive for Rational Mechanics and Analysis , vol.177 , Issue.2 , pp. 231-330
    • Kagei, Y.1    Kobayashi, T.2
  • 9
    • 57049175816 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain
    • Kagei, Y., Nukumizu, T.: Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain. Osaka J. Math. 45, 987-1026 (2008)
    • (2008) Osaka J. Math. , vol.45 , pp. 987-1026
    • Kagei, Y.1    Nukumizu, T.2
  • 11
    • 0001091818 scopus 로고
    • The initial value problem for the equations of motion of compressible viscous and heatconductive fluids
    • Matsumura, A., Nishida, T.: The initial value problem for the equations of motion of compressible viscous and heatconductive fluids. Proc. Jpn. Acad. Ser. A 55, 337-342 (1979)
    • (1979) Proc. Jpn. Acad. Ser. A , vol.55 , pp. 337-342
    • Matsumura, A.1    Nishida, T.2
  • 12
    • 0000489095 scopus 로고
    • Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
    • Matsumura, A., Nishida, T.: Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Comm. Math. Phys. 89, 445-464 (1983)
    • (1983) Comm. Math. Phys. , vol.89 , pp. 445-464
    • Matsumura, A.1    Nishida, T.2
  • 13
    • 0000765330 scopus 로고
    • Stability of plane-parallel couette flow
    • Romanov, V.A.: Stability of plane-parallel Couette flow. Funct. Anal. Appl. 7, 137-146 (1973)
    • (1973) Funct. Anal. Appl. , vol.7 , pp. 137-146
    • Romanov, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.