메뉴 건너뛰기




Volumn 49, Issue 3, 2001, Pages 519-540

Boundary effects and large time behavior for the system of compressible adiabatic flow through porous media

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035661325     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1012409969     Document Type: Article
Times cited : (19)

References (26)
  • 1
    • 0000439094 scopus 로고
    • A system of hyperbolic conservation laws with frictional damping
    • C. M. Dafermos, A system of hyperbolic conservation laws with frictional damping, Z. Angew. Math. Phys. 46 (1995), 294-307.
    • (1995) Z. Angew. Math. Phys. , vol.46 , pp. 294-307
    • Dafermos, C.M.1
  • 2
    • 0017637877 scopus 로고
    • Asymptotic behavior of solutions of a nonlinear diffusion equation
    • C. J. van Duyn and L. A. Peletier, Asymptotic behavior of solutions of a nonlinear diffusion equation, Arch. Rational Mech. Anal. 65 (1977), 363-377.
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 363-377
    • Van Duyn, C.J.1    Peletier, L.A.2
  • 3
    • 0001421035 scopus 로고
    • A class of similarity solutions of the nonlinear diffusion equation
    • -. A class of similarity solutions of the nonlinear diffusion equation, Nonlinear Anal. 1 (1977), 223-233.
    • (1977) Nonlinear Anal. , vol.1 , pp. 223-233
  • 5
    • 0000580833 scopus 로고
    • Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
    • L. Hsiao and T. P. Liu, Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping, Comm. Math. Phys. 143 (1992), 599-605.
    • (1992) Comm. Math. Phys. , vol.143 , pp. 599-605
    • Hsiao, L.1    Liu, T.P.2
  • 6
    • 0001647791 scopus 로고
    • Nonlinear diffusive phenomena of nonlinear hyperbolic systems
    • -. Nonlinear diffusive phenomena of nonlinear hyperbolic systems, Chinese Ann. Math. Ser. B 14 (1993), 465-480.
    • (1993) Chinese Ann. Math. Ser. B , vol.14 , pp. 465-480
  • 7
    • 0030096163 scopus 로고    scopus 로고
    • Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
    • L. Hsiao and T. Luo, Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media, J. Differential Equations 125 (1996), 329-365.
    • (1996) J. Differential Equations , vol.125 , pp. 329-365
    • Hsiao, L.1    Luo, T.2
  • 8
    • 0032027394 scopus 로고    scopus 로고
    • Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping
    • -, Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping, Quart. Appl. Math. 56 (1998), 173-189.
    • (1998) Quart. Appl. Math. , vol.56 , pp. 173-189
  • 9
    • 0033589577 scopus 로고    scopus 로고
    • Initial boundary value problem for the system of compressible adiabatic flow through porous media
    • L. Hsiao and R. H. Pan, Initial boundary value problem for the system of compressible adiabatic flow through porous media, J. Differential Equations 159 (1999), 280-305.
    • (1999) J. Differential Equations , vol.159 , pp. 280-305
    • Hsiao, L.1    Pan, R.H.2
  • 10
    • 0007505885 scopus 로고    scopus 로고
    • The damped p-system with boundary effects
    • Amer. Math. Soc., Providence, RI
    • -, The damped p-system with boundary effects, Contemp. Math., 255, pp. 109-123, Amer. Math. Soc., Providence, RI, 2000.
    • (2000) Contemp. Math. , vol.255 , pp. 109-123
  • 11
    • 0030544338 scopus 로고    scopus 로고
    • Global existence of solutions for the system of compressible adiabatic flow through porous media
    • L. Hsiao and D. Serre, Global existence of solutions for the system of compressible adiabatic flow through porous media, SIAM J. Math. Anal. 27 (1996), 70-77.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 70-77
    • Hsiao, L.1    Serre, D.2
  • 12
    • 21844509114 scopus 로고
    • Large-time behavior of solutions for the system of compressible adiabatic flow through porous media
    • -, Large-time behavior of solutions for the system of compressible adiabatic flow through porous media, Chinese Ann. Math. Ser. B 16 (1995), 1-14.
    • (1995) Chinese Ann. Math. Ser. B , vol.16 , pp. 1-14
  • 13
    • 0029111297 scopus 로고
    • Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping
    • L. Hsiao and S. Q. Tang, Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping, Quart. Appl. Math. 53 (1995), 487-505.
    • (1995) Quart. Appl. Math. , vol.53 , pp. 487-505
    • Hsiao, L.1    Tang, S.Q.2
  • 14
    • 0001134867 scopus 로고
    • Construction and qualitative behavior of solutions of perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
    • -, Construction and qualitative behavior of solutions of perturbated Riemann problem for the system of one-dimensional isentropic flow with damping, J. Differential Equations 123 (1995), 480-503.
    • (1995) J. Differential Equations , vol.123 , pp. 480-503
  • 15
    • 85047696623 scopus 로고    scopus 로고
    • Interaction of elementary waves for compressible Euler equations with frictional damping
    • T. Luo and T. Yang, Interaction of elementary waves for compressible Euler equations with frictional damping, J. Differential Equations 161 (2000), 42-86.
    • (2000) J. Differential Equations , vol.161 , pp. 42-86
    • Luo, T.1    Yang, T.2
  • 16
    • 0000387771 scopus 로고    scopus 로고
    • Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
    • P. Marcati and M. Mei, Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping, Quart. Appl. Math 58 (2000), 763-784.
    • (2000) Quart. Appl. Math , vol.58 , pp. 763-784
    • Marcati, P.1    Mei, M.2
  • 17
    • 0000039797 scopus 로고
    • The one dimensional Darcy's law as the limit of a compressible Euler flow
    • P. Marcati and A. Milani, The one dimensional Darcy's law as the limit of a compressible Euler flow, J. Differential Equations 13 (1990), 129-147.
    • (1990) J. Differential Equations , vol.13 , pp. 129-147
    • Marcati, P.1    Milani, A.2
  • 18
    • 0002662053 scopus 로고
    • Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
    • P. Marcati, A. Milani, and P. Secchi, Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system, Manuscripta Math. 60 (1988), 49-69.
    • (1988) Manuscripta Math. , vol.60 , pp. 49-69
    • Marcati, P.1    Milani, A.2    Secchi, P.3
  • 19
    • 0035555615 scopus 로고    scopus 로고
    • On the diffusive profiles for the system of compressible adiabatic flow through porous media
    • in press
    • P. Marcati and R. H. Pan, On the diffusive profiles for the system of compressible adiabatic flow through porous media, SIAM J. Math. Anal, (in press).
    • SIAM J. Math. Anal
    • Marcati, P.1    Pan, R.H.2
  • 20
    • 0034629684 scopus 로고    scopus 로고
    • Hyperbolic to parabolic relaxation theory for quasilinear first order systems
    • P. Marcati and B. Rubino, Hyperbolic to parabolic relaxation theory for quasilinear first order systems, J. Differential Equations 162 (2000), 359-399.
    • (2000) J. Differential Equations , vol.162 , pp. 359-399
    • Marcati, P.1    Rubino, B.2
  • 21
    • 0030295223 scopus 로고    scopus 로고
    • Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
    • K. Nishihara, Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping, J. Differential Equations 131 (1996), 171-188.
    • (1996) J. Differential Equations , vol.131 , pp. 171-188
    • Nishihara, K.1
  • 22
    • 0001092706 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
    • -, Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping, J. Differential Equations 137 (1997), 384-395.
    • (1997) J. Differential Equations , vol.137 , pp. 384-395
  • 23
    • 0034628139 scopus 로고    scopus 로고
    • p-convergence rate to nonlinear diffusion waves for p-system with damping
    • p-convergence rate to nonlinear diffusion waves for p-system with damping, J. Differential Equations 161 (2000), 191-218.
    • (2000) J. Differential Equations , vol.161 , pp. 191-218
    • Nishihara, K.1    Wang, W.2    Yang, T.3
  • 24
    • 0033543057 scopus 로고    scopus 로고
    • Boundary effect an asymptotic behavior of solutions to the p-system with linear damping
    • K. Nishihara and T. Yang, Boundary effect an asymptotic behavior of solutions to the p-system with linear damping, J. Differential Equations 156 (1999), 439-458.
    • (1999) J. Differential Equations , vol.156 , pp. 439-458
    • Nishihara, K.1    Yang, T.2
  • 25
    • 0001561727 scopus 로고    scopus 로고
    • Asymptotic behavior of large weak entropy solutions of the damped p-system
    • D. Serre and L. Xiao, Asymptotic behavior of large weak entropy solutions of the damped p-system, J. Partial Differential Equations 10 (1997), 355-368.
    • (1997) J. Partial Differential Equations , vol.10 , pp. 355-368
    • Serre, D.1    Xiao, L.2
  • 26
    • 0001097191 scopus 로고    scopus 로고
    • Global smooth solutions to the adiabatic gas dynamics system with dissipation terms
    • Y. S. Zheng, Global smooth solutions to the adiabatic gas dynamics system with dissipation terms, Chinese Ann. Math. Ser. A 17 (1996), 155-162.
    • (1996) Chinese Ann. Math. Ser. A , vol.17 , pp. 155-162
    • Zheng, Y.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.