메뉴 건너뛰기




Volumn 142, Issue 1, 1998, Pages 188-211

Attractors of Viscous Balance Laws: Uniform Estimates for the Dimension

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009183056     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3342     Document Type: Article
Times cited : (8)

References (27)
  • 2
    • 0002970101 scopus 로고
    • Global existence for semilinear parabolic systems
    • Amann H. Global existence for semilinear parabolic systems. J. Reine Angew. Math. 360:1985;47-83.
    • (1985) J. Reine Angew. Math. , vol.360 , pp. 47-83
    • Amann, H.1
  • 3
    • 84942222028 scopus 로고
    • The zero set of a solution of a parabolic equation
    • Angenent S. The zero set of a solution of a parabolic equation. J. Reine Angew. Math. 390:1988;79-96.
    • (1988) J. Reine Angew. Math. , vol.390 , pp. 79-96
    • Angenent, S.1
  • 4
    • 33646918069 scopus 로고
    • The dynamics of rotating waves in scalar reaction diffusion equations
    • Angenent S., Fiedler B. The dynamics of rotating waves in scalar reaction diffusion equations. Trans. Amer. Math. Soc. 307:1988;545-568.
    • (1988) Trans. Amer. Math. Soc. , vol.307 , pp. 545-568
    • Angenent, S.1    Fiedler, B.2
  • 6
    • 0029533282 scopus 로고
    • The onset and end of the Gunn effect in extrinsic semiconductors
    • Bonilla L. L., Higuera F. J. The onset and end of the Gunn effect in extrinsic semiconductors. SIAM J. Appl. Math. 55:1995;1625-1649.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1625-1649
    • Bonilla, L.L.1    Higuera, F.J.2
  • 7
    • 0002264165 scopus 로고
    • Connecting orbits in scalar reaction diffusion equations
    • Brunovsky P., Fiedler B. Connecting orbits in scalar reaction diffusion equations. Dynam. Report. 1:1988;57-89.
    • (1988) Dynam. Report. , vol.1 , pp. 57-89
    • Brunovsky, P.1    Fiedler, B.2
  • 8
    • 0001168397 scopus 로고
    • Connecting orbits in scalar reaction diffusion equations II: The complete solution
    • Brunovsky P., Fiedler B. Connecting orbits in scalar reaction diffusion equations II: The complete solution. J. Differential Equations. 81:1989;106-135.
    • (1989) J. Differential Equations , vol.81 , pp. 106-135
    • Brunovsky, P.1    Fiedler, B.2
  • 9
    • 0016345113 scopus 로고
    • A bifurcation problem for a nonlinear parabolic equation
    • Chafee N., Infante E. A bifurcation problem for a nonlinear parabolic equation. J. Appl. Anal. 4:1974;17-37.
    • (1974) J. Appl. Anal. , vol.4 , pp. 17-37
    • Chafee, N.1    Infante, E.2
  • 10
    • 0001082769 scopus 로고
    • Attractors in inhomogeneous conservation laws and parabolic regularizations
    • Fan H., Hale J. K. Attractors in inhomogeneous conservation laws and parabolic regularizations. Trans. Amer. Math. Soc. 347:1995;1239-1254.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1239-1254
    • Fan, H.1    Hale, J.K.2
  • 11
    • 34250627892 scopus 로고
    • Geometric singular perturbation theory for ordinary differential equations
    • Fenichel N. Geometric singular perturbation theory for ordinary differential equations. J. Differential Equations. 31:1979;53-98.
    • (1979) J. Differential Equations , vol.31 , pp. 53-98
    • Fenichel, N.1
  • 12
    • 0000980087 scopus 로고
    • A Poincaré-Bendixson theorem for scalar reaction diffusion equations
    • Fiedler B., Mallet-Paret J. A Poincaré-Bendixson theorem for scalar reaction diffusion equations. Arch. Rational Mech. Anal. 107:1989;325-345.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 325-345
    • Fiedler, B.1    Mallet-Paret, J.2
  • 13
    • 0030577735 scopus 로고    scopus 로고
    • Heteroclinic orbits of semilinear parabolic equations
    • Fiedler B., Rocha C. Heteroclinic orbits of semilinear parabolic equations. J. Differential Equations. 125:1996;239-281.
    • (1996) J. Differential Equations , vol.125 , pp. 239-281
    • Fiedler, B.1    Rocha, C.2
  • 15
    • 0002238002 scopus 로고
    • A permutation related to the dynamics of a scalar PDE
    • Fusco G., Rocha C. A permutation related to the dynamics of a scalar PDE. J. Differential Equations. 91:1991;111-137.
    • (1991) J. Differential Equations , vol.91 , pp. 111-137
    • Fusco, G.1    Rocha, C.2
  • 16
    • 0003293929 scopus 로고
    • Asymptotic Behavior of Dissipative Systems
    • Providence: Amer. Math. Soc.
    • Hale J. K. Asymptotic Behavior of Dissipative Systems. Mathematical Surveys and Monographs. 1988;Amer. Math. Soc. Providence.
    • (1988) Mathematical Surveys and Monographs
    • Hale, J.K.1
  • 17
    • 0000446574 scopus 로고
    • Existence and stability of transition layers
    • Hale J. K., Sakamoto K. Existence and stability of transition layers. Japan J. Appl. Math. 5:1988;367-405.
    • (1988) Japan J. Appl. Math. , vol.5 , pp. 367-405
    • Hale, J.K.1    Sakamoto, K.2
  • 20
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • New York: Springer-Verlag
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture notes in Mathematics. 840:1981;Springer-Verlag, New York.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 21
    • 46549093257 scopus 로고
    • Some infinite dimensional Morse-Smale systems defined by parabolic differential equations
    • Henry D. Some infinite dimensional Morse-Smale systems defined by parabolic differential equations. J. Differential Equations. 59:1985;165-205.
    • (1985) J. Differential Equations , vol.59 , pp. 165-205
    • Henry, D.1
  • 22
    • 84956238079 scopus 로고
    • First order quasilinear equations in several independent variables
    • Kruzhkov S. N. First order quasilinear equations in several independent variables. Math. USSR-Sbornik. 10:1970;217-243.
    • (1970) Math. USSR-Sbornik , vol.10 , pp. 217-243
    • Kruzhkov, S.N.1
  • 23
    • 84973976230 scopus 로고
    • A Poincaré-Bendixson theorem for scalar balance laws
    • Lyberopoulos A. N. A Poincaré-Bendixson theorem for scalar balance laws. Proc. Roy. Soc. Edinburgh A. 124:1994;589-607.
    • (1994) Proc. Roy. Soc. Edinburgh a , vol.124 , pp. 589-607
    • Lyberopoulos, A.N.1
  • 24
    • 0000675919 scopus 로고
    • Convergence of solutions of one-dimensional semilinear parabolic equations
    • Matano H. Convergence of solutions of one-dimensional semilinear parabolic equations. J. Math. Kyoto Univ. 18:1978;221-227.
    • (1978) J. Math. Kyoto Univ. , vol.18 , pp. 221-227
    • Matano, H.1
  • 25
    • 0002494522 scopus 로고
    • On the exponentially slow motion of a viscous shock
    • Reyna L. B., Ward M. J. On the exponentially slow motion of a viscous shock. Comm. Pure Appl. Math. 48:1995;79-120.
    • (1995) Comm. Pure Appl. Math , vol.48 , pp. 79-120
    • Reyna, L.B.1    Ward, M.J.2
  • 26
    • 0001043055 scopus 로고
    • Large time behaviour of solutions of balance laws with periodic initial data
    • Sinestrari C. Large time behaviour of solutions of balance laws with periodic initial data. Nonlinear Differential Equation Appl. 2:1995;111-131.
    • (1995) Nonlinear Differential Equation Appl. , vol.2 , pp. 111-131
    • Sinestrari, C.1
  • 27
    • 0001883857 scopus 로고
    • Stabilization of solutions of boundary value problems for a second order parabolic equation with one space variable
    • Zelenyak T. J. Stabilization of solutions of boundary value problems for a second order parabolic equation with one space variable. Differential Equations. 4:1968;17-22.
    • (1968) Differential Equations , vol.4 , pp. 17-22
    • Zelenyak, T.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.