메뉴 건너뛰기




Volumn 192, Issue 3, 2009, Pages 419-452

Euler-poisson systems as action-minimizing paths in the wasserstein space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67349235555     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-008-0148-y     Document Type: Article
Times cited : (41)

References (21)
  • 1
    • 37649010339 scopus 로고    scopus 로고
    • Hamiltonian ODE in the Wasserstein spaces of probability measures
    • L. Ambrosio W. Gangbo 2008 Hamiltonian ODE in the Wasserstein spaces of probability measures Comm. Pure Appl. Math. 61 1 18 53
    • (2008) Comm. Pure Appl. Math. , vol.61 , Issue.1 , pp. 18-53
    • Ambrosio, L.1    Gangbo, W.2
  • 2
    • 33748882071 scopus 로고    scopus 로고
    • Gradient flows in metric spaces and the Wasserstein spaces of probability measures
    • ETH Zurich, Birkhäuser
    • Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and the Wasserstein spaces of probability measures. Lectures in Mathematics, ETH Zurich, Birkhäuser, 2005
    • (2005) Lectures in Mathematics
    • Ambrosio, L.1
  • 4
    • 85189441176 scopus 로고    scopus 로고
    • Contractive metrics for scalar conservation laws
    • F. Bolley Y. Brenier G. Loeper 2005 Contractive metrics for scalar conservation laws J. Hyperb. Diff. Equ. 2 1 91 107
    • (2005) J. Hyperb. Diff. Equ. , vol.2 , Issue.1 , pp. 91-107
    • Bolley, F.1    Brenier, Y.2    Loeper, G.3
  • 5
    • 0035627821 scopus 로고    scopus 로고
    • Renormalized solutions to the Vlasov equation with coefficients of bounded variation
    • F. Bouchut 2001 Renormalized solutions to the Vlasov equation with coefficients of bounded variation Arch. Ration. Mech. Anal. 157 75 90 (Pubitemid 33575485)
    • (2001) Archive for Rational Mechanics and Analysis , vol.157 , Issue.1 , pp. 75-90
    • Bouchut, F.1
  • 6
    • 34547398954 scopus 로고    scopus 로고
    • Order preserving vibrating strings and applications to Electrodynamics and Magnetohydrodynamics
    • Y. Brenier 2004 Order preserving vibrating strings and applications to Electrodynamics and Magnetohydrodynamics Methods Appl. Anal. 11 4 515 532
    • (2004) Methods Appl. Anal. , vol.11 , Issue.4 , pp. 515-532
    • Brenier, Y.1
  • 7
    • 0032187452 scopus 로고    scopus 로고
    • Weak existence for the semigeostrophic equations formulated as a coupled monge-ampere/transport problem
    • PII S0036139995294111
    • J.D. Benamou Y. Brenier 1998 Weak existence for the semigeostrophic equations formulated as a coupled Monge-Ampère equations/transport problem SIAM J. Appl. Anal. Math. 58 5 1450 1461 (Pubitemid 128689570)
    • (1998) SIAM Journal on Applied Mathematics , vol.58 , Issue.5 , pp. 1450-1461
    • Benamou, J.-D.1
  • 8
    • 0001454943 scopus 로고    scopus 로고
    • Sticky particles and scalar conservation laws
    • Y. Brenier E. Grenier 1998 Sticky particles and scalar conservation laws SIAM J. Numer. Anal. 35 6 2317 2328 (Pubitemid 128464109)
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.6 , pp. 2317-2328
    • Brenier, Y.1    Grenier, E.2
  • 9
    • 16244390838 scopus 로고    scopus 로고
    • A Geometric approximation to the euler equations: The Vlasov-Monge- Ampere system
    • DOI 10.1007/s00039-004-0488-1
    • Y. Brenier G. Loeper 2004 A geometric approximation to the Euler equations: The Vlasov-Monge-Ampère equation Geom. Funct. Anal. 14 6 1182 1218 (Pubitemid 40465372)
    • (2004) Geometric and Functional Analysis , vol.14 , Issue.6 , pp. 1182-1218
    • Brenier, Y.1    Loeper, G.2
  • 12
    • 34547344264 scopus 로고    scopus 로고
    • Semigeostrophic equations discretized in reference and dual variables
    • M. Cullen W. Gangbo G. Pisante 2007 Semigeostrophic equations discretized in reference and dual variables Arch. Rat. Mech. Anal. 185 2 341 363
    • (2007) Arch. Rat. Mech. Anal. , vol.185 , Issue.2 , pp. 341-363
    • Cullen, M.1    Gangbo, W.2    Pisante, G.3
  • 13
    • 0001766126 scopus 로고    scopus 로고
    • Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
    • W.E.Y Rykov Y. Sinai 1996 Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics Comm. Math. Phys. 177 349 380 (Pubitemid 126321933)
    • (1996) Communications in Mathematical Physics , vol.177 , Issue.2 , pp. 349-380
    • Weinan, E.1    Rykov, Y.G.2    Sinai, Y.G.3
  • 14
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • W. Gangbo R.J. tmp McCann 1996 The geometry of optimal transportation Acta Math. 177 113 161 (Pubitemid 126345872)
    • (1996) Acta Mathematica , vol.177 , Issue.2 , pp. 113-161
    • Gangbo, W.1    McCann, R.J.2
  • 15
    • 0016473695 scopus 로고
    • The geostrophic momentum approximation and the semi-geostrophic equations
    • B.J. Hoskins 1975 The geostrophic momentum approximation and the semi-geostrophic equations J. Atmos. Sci. 32 233 242
    • (1975) J. Atmos. Sci. , vol.32 , pp. 233-242
    • Hoskins, B.J.1
  • 16
    • 0035536273 scopus 로고    scopus 로고
    • Well posedness for pressureless flow
    • DOI 10.1007/s002200100506
    • F. Huang Z. Wang 2001 Well posedness for pressureless flow Comm. Math. Phys. 222 117 146 (Pubitemid 33384715)
    • (2001) Communications in Mathematical Physics , vol.222 , Issue.1 , pp. 117-146
    • Huang, F.1    Wang, Z.2
  • 18
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • DOI 10.1006/aima.1997.1634, PII S0001870897916340
    • R.J. tmp McCann 1997 A convexity principle for interacting gases Adv. Math. 128 1 153 179 (Pubitemid 127171227)
    • (1997) Advances in Mathematics , vol.128 , Issue.1 , pp. 153-179
    • McCann, R.J.1
  • 20
    • 0343442476 scopus 로고    scopus 로고
    • Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system
    • Y.J. Peng 2000 Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system Nonlinear Anal. 42 1033 1054
    • (2000) Nonlinear Anal. , vol.42 , pp. 1033-1054
    • Peng, Y.J.1
  • 21
    • 1542342359 scopus 로고    scopus 로고
    • Topics in optimal transportation
    • American Mathematical Society, New York
    • Villani, C.: Topics in optimal transportation. Graduate Studies in Mathematics, vol. 58. American Mathematical Society, New York, 2003
    • (2003) Graduate Studies in Mathematics , vol.58
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.