메뉴 건너뛰기




Volumn 297, Issue 1, 2004, Pages 169-185

Korteweg-de Vries and Kuramoto-Sivashinsky equations in bounded domains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4344625747     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.04.053     Document Type: Article
Times cited : (81)

References (20)
  • 1
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames
    • Sivashinsky G.I. Nonlinear analysis of hydrodynamic instability in laminar flames Acta Astronaut. 4 1977 1177-1206
    • (1977) Acta Astronaut. , vol.4 , pp. 1177-1206
    • Sivashinsky, G.I.1
  • 2
    • 0000944744 scopus 로고
    • On the formation of dissipative structures in reaction-diffusion systems
    • Kuramoto Y. Tsuzuki T. On the formation of dissipative structures in reaction-diffusion systems Progr. Theoret. Phys. 54 1975 687-699
    • (1975) Progr. Theoret. Phys. , vol.54 , pp. 687-699
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 3
    • 0001237477 scopus 로고
    • The well-posedness of the Kuramoto-Sivashinsky equation
    • Tadmor E. The well-posedness of the Kuramoto-Sivashinsky equation SIAM J. Math. Anal. 17 1986 884-893
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 884-893
    • Tadmor, E.1
  • 4
    • 4344672441 scopus 로고    scopus 로고
    • Initial boundary value problem for the Kuramoto-Sivashinsky equation
    • Cousin A.T. Larkin N.A. Initial boundary value problem for the Kuramoto-Sivashinsky equation Mat. Contemp. 18 2000 97-100
    • (2000) Mat. Contemp. , vol.18 , pp. 97-100
    • Cousin, A.T.1    Larkin, N.A.2
  • 5
    • 0002880461 scopus 로고
    • The existence and nonexistence of a global solution for the initial value problem of generalized Kuramoto-Sivashinsky equations
    • Guo B. The existence and nonexistence of a global solution for the initial value problem of generalized Kuramoto-Sivashinsky equations J. Math. Res. Exposition 11 1991 57-69
    • (1991) J. Math. Res. Exposition , vol.11 , pp. 57-69
    • Guo, B.1
  • 7
    • 0001119719 scopus 로고
    • The initial value problem for the Korteweg-de Vries equation
    • Bona J.L. Smith R. The initial value problem for the Korteweg-de Vries equation Philos. Trans. Roy. Soc. London Ser. A 278 1975 555-604
    • (1975) Philos. Trans. Roy. Soc. London Ser. A , vol.278 , pp. 555-604
    • Bona, J.L.1    Smith, R.2
  • 8
    • 0002362136 scopus 로고
    • On the Cauchy problem for the (generalized) Korteweg-de Vries equations
    • Kato T. On the Cauchy problem for the (generalized) Korteweg-de Vries equations Stud. Appl. Math., Adv. Math. Suppl. Stud. 8 1983 93-128
    • (1983) Stud. Appl. Math., Adv. Math. Suppl. Stud. , vol.8 , pp. 93-128
    • Kato, T.1
  • 9
    • 84968502715 scopus 로고
    • Well-posedness of the initial value problem for the Korteweg-de Vries equation
    • Kenig C. Ponce G. Vega L. Well-posedness of the initial value problem for the Korteweg-de Vries equation SIAM J. Math. Anal. 4 1991 323-347
    • (1991) SIAM J. Math. Anal. , vol.4 , pp. 323-347
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 10
    • 0009389147 scopus 로고
    • Initial boundary value problems for the Korteweg-de Vries equation
    • An Ton Bui Initial boundary value problems for the Korteweg-de Vries equation J. Differential Equations 25 1977 288-309
    • (1977) J. Differential Equations , vol.25 , pp. 288-309
    • Bui, A.T.1
  • 11
    • 0141672894 scopus 로고
    • Generalized boundary value problems for the Korteweg-de Vries equation in bounded domains
    • Bubnov B.A. Generalized boundary value problems for the Korteweg-de Vries equation in bounded domains Differential Equations 15 1979 17-21
    • (1979) Differential Equations , vol.15 , pp. 17-21
    • Bubnov, B.A.1
  • 16
    • 0003896053 scopus 로고
    • Problemes aux Limites Non Homogenes e Application. Tom 1
    • Paris: Dunod
    • Lions J.-L. Magenes E. Problemes aux Limites Non Homogenes e Application. Tom 1 1968 Dunod Paris
    • (1968)
    • Lions, J.-L.1    Magenes, E.2
  • 17
    • 0009108258 scopus 로고
    • On the non-linear wave equations
    • Browder F.E. On the non-linear wave equations Math. Z. 80 1962 249-264
    • (1962) Math. Z. , vol.80 , pp. 249-264
    • Browder, F.E.1
  • 19
    • 2442660120 scopus 로고    scopus 로고
    • Global boundary stabilization of the Korteweg-de Vries-Burgers equation
    • Liu W.-J. Kristic M. Global boundary stabilization of the Korteweg-de Vries-Burgers equation Comput. Appl. Math. 21 2002 315-354
    • (2002) Comput. Appl. Math. , vol.21 , pp. 315-354
    • Liu, W.-J.1    Kristic, M.2
  • 20
    • 84972517890 scopus 로고
    • Traveling wave solutions to a perturbed Korteweg-de Vries equation
    • Ogawa T. Traveling wave solutions to a perturbed Korteweg-de Vries equation Hiroshima Math. J. 24 1994 401-422
    • (1994) Hiroshima Math. J. , vol.24 , pp. 401-422
    • Ogawa, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.