메뉴 건너뛰기




Volumn 6, Issue 6, 2013, Pages 1487-1505

On damping rates of dissipative Kdv equations

Author keywords

Damping rate; Inverse problem; Korteweg de Vries equations; Long time behavior

Indexed keywords


EID: 84877012538     PISSN: 19371632     EISSN: 19371179     Source Type: Journal    
DOI: 10.3934/dcdss.2013.6.1487     Document Type: Conference Paper
Times cited : (9)

References (27)
  • 1
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small- amplitude long waves in nonlinear dispersive media. I. Derivation and the linear theory
    • J. L. Bona, M. Chen and J.-C. Saut, Boussinesq equations and other systems for small- amplitude long waves in nonlinear dispersive media. I. Derivation and the linear theory, J. Nonlinear Sci., 12 (2002), 283{318.
    • (2002) J. Nonlinear Sci , vol.12 , pp. 283-318
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 2
    • 2342450586 scopus 로고    scopus 로고
    • Chaos for a damped and forced KdV equation
    • M. Cabral and R. Rosa, Chaos for a damped and forced KdV equation, Phys. D, 192 (2004), 265{278.
    • (2004) Phys. D , vol.192 , pp. 265-278
    • Cabral, M.1    Rosa, R.2
  • 5
    • 34447630128 scopus 로고    scopus 로고
    • Viscous potentiel free-surface ows in a uid layer of finite depth
    • F. Dias and D. Dutykh, Viscous potentiel free-surface ows in a uid layer of finite depth, C. R. Math. Acad. Sci. Paris, 345 (2007), 113{118.
    • (2007) C. R. Math. Acad. Sci. Paris , vol.345 , pp. 113-118
    • Dias, F.1    Dutykh, D.2
  • 6
    • 84877057223 scopus 로고    scopus 로고
    • [source Fortran]
    • F. Dubois, Schemes available from: http://www.math.u-psud.fr/~fdubois/ fractionnaire. html [source Fortran].
    • Schemes
    • Dubois, F.1
  • 7
    • 84877020141 scopus 로고    scopus 로고
    • Introduction à la Dérivation Fractionnaire. Théorie et Applications
    • (in French), April
    • F. Dubois, A. Galucio and N. Point, "Introduction à la Dérivation Fractionnaire. Théorie et Applications," (in French), Ref AF510, Techniques de l'ingénieur, April, 2010.
    • (2010) Ref AF510, Techniques de l'Ingénieur
    • Dubois, F.1    Galucio, A.2    Point, N.3
  • 8
    • 52349113856 scopus 로고    scopus 로고
    • The Gα-scheme for approximation of fractional deriva- tives: Application to the dynamics of dissipative systems
    • F. Dubois, J.-F. Deü and A. Galucio, The Gα-scheme for approximation of fractional deriva- tives: Application to the dynamics of dissipative systems, J. Vib. Control, 14 (2008), 1597{ 1605.
    • (2008) J. Vib. Control , vol.14 , pp. 1597-1605
    • Dubois, F.1    Deü, J.-F.2    Galucio, A.3
  • 9
    • 84877022224 scopus 로고    scopus 로고
    • Numerical investigation of asymptotical properties of solutions to models for waterwaves with non local viscosity
    • to appear
    • S. Dumont and J.-B. Duval, Numerical investigation of asymptotical properties of solutions to models for waterwaves with non local viscosity, International Journal of Numerical Analysis and Modeling, to appear, (2012).
    • (2012) International Journal of Numerical Analysis and Modeling
    • Dumont, S.1    Duval, J.-B.2
  • 11
    • 62649165873 scopus 로고    scopus 로고
    • Visco-potential free-surface ows and long wave modelling
    • D. Dutykh, Visco-potential free-surface ows and long wave modelling, European Journal of Mechanics B Fluids, 28 (2009), 430{443.
    • (2009) European Journal of Mechanics B Fluids , vol.28 , pp. 430-443
    • Dutykh, D.1
  • 12
    • 0000616385 scopus 로고
    • Weakly damped forced Korteweg-de Vries equations behave as a finite di- mensional dynamical system in the long time
    • J.-M. Ghidaglia, Weakly damped forced Korteweg-de Vries equations behave as a finite di- mensional dynamical system in the long time, J. Diff. Eq., 74 (1988), 369{390.
    • (1988) J. Diff. Eq. , vol.74 , pp. 369-390
    • Ghidaglia, J.-M.1
  • 13
    • 0001005263 scopus 로고
    • A note on the strong convergence towards attractors for damped forced KdV equations
    • J.-M. Ghidaglia, A note on the strong convergence towards attractors for damped forced KdV equations, J. Diff. Eq., 110 (1994), 356{359.
    • (1994) J. Diff. Eq. , vol.110 , pp. 356-359
    • Ghidaglia, J.-M.1
  • 14
    • 0034419781 scopus 로고    scopus 로고
    • Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equa- tions
    • O. Goubet, Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equa- tions, Discrete Contin. Dynam. Systems, 6 (2000), 625{644.
    • (2000) Discrete Contin. Dynam. Systems , vol.6 , pp. 625-644
    • Goubet, O.1
  • 15
    • 0037058009 scopus 로고    scopus 로고
    • Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line
    • O. Goubet and R. Rosa, Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line, J. Differential Equations, 185 (2002), 25{53.
    • (2002) J. Differential Equations , vol.185 , pp. 25-53
    • Goubet, O.1    Rosa, R.2
  • 16
    • 33746140897 scopus 로고    scopus 로고
    • An overview of projection methods for incompressible ows
    • J. L. Guermond, P. Minev and J. Shen, An overview of projection methods for incompressible ows, Comput. Methods Appl. Mech. Eng., 195 (2006), 6011{6045.
    • (2006) Comput. Methods Appl. Mech. Eng , vol.195 , pp. 6011-6045
    • Guermond, J.L.1    Minev, P.2    Shen, J.3
  • 17
    • 84877082191 scopus 로고    scopus 로고
    • A hybrid optimization method for large-scale non- negative full regularization in image restoration
    • to appear
    • J. Guerrero, M. Raydan and M. Rojas, A hybrid optimization method for large-scale non- negative full regularization in image restoration, Inverse Problems in Science ad Engineering, to appear, (2012).
    • (2012) Inverse Problems in Science Ad Engineering
    • Guerrero, J.1    Raydan, M.2    Rojas, M.3
  • 20
    • 77950955968 scopus 로고    scopus 로고
    • Control stabilization of the Korterweg-de Vries equa- tion in a periodic domain
    • C. Laurent, L. Rosier and B.-Y. Zhang, Control stabilization of the Korterweg-de Vries equa- tion in a periodic domain, Comm. PDE, 35 (2010), 707{744.
    • (2010) Comm. PDE , vol.35 , pp. 707-744
    • Laurent, C.1    Rosier, L.2    Zhang, B.-Y.3
  • 21
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • S. K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys., 103 (1992), 16{42.
    • (1992) J. Comput. Phys , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 23
    • 0040185458 scopus 로고
    • Nonlinear theory of ion acoustic wave with Landau damping
    • E. Ott and R. N. Sudan, Nonlinear theory of ion acoustic wave with Landau damping, Physics of Fluids, 12 (1969), 2388{2394.
    • (1969) Physics of Fluids , vol.12 , pp. 2388-2394
    • Ott, E.1    Sudan, R.N.2
  • 24
    • 0040470906 scopus 로고
    • Damping of solitary waves
    • E. Ott and R. N. Sudan, Damping of solitary waves, Physics of Fluids, 13 (1970), 1432{1435.
    • (1970) Physics of Fluids , vol.13 , pp. 1432-1435
    • Ott, E.1    Sudan, R.N.2
  • 25
    • 78049397705 scopus 로고    scopus 로고
    • Uniform stabilization in weighted Sobolev spaces for the KdV equa- tion posed on the half-line
    • A. Pazoto and L. Rosier, Uniform stabilization in weighted Sobolev spaces for the KdV equa- tion posed on the half-line, DCDS-B, 14 (2010), 1511{1535.
    • (2010) DCDS-B , vol.14 , pp. 1511-1535
    • Pazoto, A.1    Rosier, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.