메뉴 건너뛰기




Volumn 186, Issue 1, 2007, Pages 159-175

Solutions for linear conservation laws with velocity fields in L ∞

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34548559557     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-007-0058-4     Document Type: Article
Times cited : (14)

References (28)
  • 2
    • 7544243351 scopus 로고    scopus 로고
    • Transport equation and Cauchy problem for BV vector fields
    • Ambrosio L. (2004). Transport equation and Cauchy problem for BV vector fields. Invent Math. 158: 227-260
    • (2004) Invent Math. , vol.158 , pp. 227-260
    • Ambrosio, L.1
  • 4
    • 0000146415 scopus 로고    scopus 로고
    • Inégalité de Poincaré courbe pour le traitement variationnel de l'équation de transport
    • Azérad P. and Pousin J. (1996). Inégalité de Poincaré courbe pour le traitement variationnel de l'équation de transport. C. R., Math. Acad. Sci., Paris 322: 721-727
    • (1996) C. R., Math. Acad. Sci., Paris , vol.322 , pp. 721-727
    • Azérad, P.1    Pousin, J.2
  • 5
    • 1042293033 scopus 로고    scopus 로고
    • Space-time integrated least-squares: A simple, stable and precise finite element scheme to solve advection equations as if they were elliptic
    • (Ed. Chipot, M. et al) Progress in partial differential equations: the Metz surveys 4. Proceedings of the conference given at the University of Metz, France during the 1994-95 'Metz Days' Harlow, Longman
    • Azérad, P., Perrochet, P., Pousin, J.: Space-time integrated least-squares: A simple, stable and precise finite element scheme to solve advection equations as if they were elliptic. (Ed. Chipot, M. et al) Progress in partial differential equations: the Metz surveys 4. Proceedings of the conference given at the University of Metz, France during the 1994-95 'Metz Days'. Harlow, Longman. Pitman Res. Notes Math. Ser. 345, 161-174 1996
    • (1996) Pitman Res. Notes Math. Ser. , vol.345 , pp. 161-174
    • Azérad, P.1    Perrochet, P.2    Pousin, J.3
  • 6
    • 0000469206 scopus 로고
    • Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; applications à l'équation de transport
    • Bardos, C.: Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; applications à l'équation de transport. Ann. Sci. Ecole. Norm. Sup. (4) 3, 185-233 (1970)
    • (1970) Ann. Sci. Ecole. Norm. Sup. (4) , vol.3 , pp. 185-233
    • Bardos, C.1
  • 7
    • 1042266957 scopus 로고    scopus 로고
    • Space-time integrated least squares: A time marching approach
    • Besson O and de Montmollin G. (2004). Space-time integrated least squares: a time marching approach. Internat J. Numer. Methods Fluids 44: 525-543
    • (2004) Internat J. Numer. Methods Fluids , vol.44 , pp. 525-543
    • Besson, O.1    De Montmollin, G.2
  • 8
    • 0035627821 scopus 로고    scopus 로고
    • Renormalized solutions to the Vlasov Equation with coefficients of bounded variation
    • Bouchut F. (2001). Renormalized solutions to the Vlasov Equation with coefficients of bounded variation. Arch. Ration Mech. Anal. 157: 75-90
    • (2001) Arch. Ration Mech. Anal. , vol.157 , pp. 75-90
    • Bouchut, F.1
  • 10
    • 0013723252 scopus 로고
    • Numerical solution of, first-order conservation equation by a least squares method
    • Chattot J.J., Guiu-Roux J. and Lamine J. (1982). Numerical solution of, first-order conservation equation by a least squares method. Internat. J Numer. Methods Fluids 2: 209-219
    • (1982) Internat. J Numer. Methods Fluids , vol.2 , pp. 209-219
    • Chattot, J.J.1    Guiu-Roux, J.2    Lamine, J.3
  • 11
    • 0033450362 scopus 로고    scopus 로고
    • Divergence-measure fields and hyperbolic conservation laws
    • Chen G.-Q. and Frid H. (1999). Divergence-measure fields and hyperbolic conservation laws. Arch. Ration Mech. Anal. 147: 89-118
    • (1999) Arch. Ration Mech. Anal. , vol.147 , pp. 89-118
    • Chen, G.-Q.1    Frid, H.2
  • 12
    • 0036487117 scopus 로고    scopus 로고
    • Uniqueness of continuous solutions for BV vector fields
    • Colombini F. and Lerner N. (2002). Uniqueness of continuous solutions for BV vector fields. Duke Math. J. 111: 357-384
    • (2002) Duke Math. J. , vol.111 , pp. 357-384
    • Colombini, F.1    Lerner, N.2
  • 14
    • 17244368070 scopus 로고    scopus 로고
    • Méthode STILS pour l'équation de transport: comparaisons et analyses
    • PhD dissertation, Université de Neuchâtel
    • de Montmollin, G.: Méthode STILS pour l'équation de transport: comparaisons et analyses. Etude d'un modèle de fermeture pour la loi de Darcy. PhD dissertation, Université de Neuchâtel, 2001
    • (2001) Etude d'Un Modèle de Fermeture Pour la Loi de Darcy
    • De Montmollin, G.1
  • 15
    • 0141738641 scopus 로고    scopus 로고
    • Non unicité des solutions bornées pour un champ de vecteurs BV en dehors d'un hyperplan
    • Depauw N. (2003). Non unicité des solutions bornées pour un champ de vecteurs BV en dehors d'un hyperplan. C. R. Math. Acad. Sci. Paris 337: 249-252
    • (2003) C. R. Math. Acad. Sci. Paris , vol.337 , pp. 249-252
    • Depauw, N.1
  • 17
    • 0002306354 scopus 로고
    • Ordinary differential equations, transport theory and Sobolev spaces
    • Diperna R.T. and Lions P.L. (1989). Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98: 511-547
    • (1989) Invent. Math. , vol.98 , pp. 511-547
    • Diperna, R.T.1    Lions, P.L.2
  • 18
    • 0026386228 scopus 로고
    • Error analysis of Galerkin least squares methods for the elasticity equations
    • Franca L.P. and Stenberg R. (1991). Error analysis of Galerkin least squares methods for the elasticity equations. SIAM-J. Numer. Anal. 28: 1680-1697
    • (1991) SIAM-J. Numer. Anal. , vol.28 , pp. 1680-1697
    • Franca, L.P.1    Stenberg, R.2
  • 19
    • 34548577519 scopus 로고    scopus 로고
    • Chapitre 1: équations de transport. Cours Univ. Paris 6
    • Golse, F.: Introduction aux EDP d'évolution, Chapitre 1: équations de transport. Cours Univ. Paris 6, 2003-2004
    • (2003) Introduction Aux EDP d'Évolution
    • Golse, F.1
  • 22
    • 0001594749 scopus 로고    scopus 로고
    • Meyer-Serrin type theorems and relaxation of variational integrals depending on vectors fields
    • Franchi B., Serapioni R. and Serra Cassano F. (1996). Meyer-Serrin type theorems and relaxation of variational integrals depending on vectors fields. Houston J. Math. 22: 859-890
    • (1996) Houston J. Math. , vol.22 , pp. 859-890
    • Franchi, B.1    Serapioni, R.2    Serra Cassano, F.3
  • 25
    • 0003628399 scopus 로고    scopus 로고
    • Oxford Science Publications. Oxford University Press, Oxford
    • Lions, P.L.: Mathematical topics in fluid mechanics. Vol. 1. Oxford Science Publications. Oxford University Press, Oxford, 1996
    • (1996) Mathematical Topics in Fluid Mechanics , vol.1
    • Lions, P.L.1
  • 26
    • 0021389497 scopus 로고
    • A space-time least squares finite element scheme for advection- diffusion equations
    • Nguyen N. and Reynen J. (1984). A space-time least squares finite element scheme for advection- diffusion equations. Comput. Methods Appl. Mech. Engrg. 42: 331-342
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.42 , pp. 331-342
    • Nguyen, N.1    Reynen, J.2
  • 28
    • 0024165418 scopus 로고
    • On the accuracy of least squares finite elements for a first-order conservation equation
    • Wilders P. (1988). On the accuracy of least squares finite elements for a first-order conservation equation. Internat. J. Numer. Methods Fluids 8: 957-964
    • (1988) Internat. J. Numer. Methods Fluids , vol.8 , pp. 957-964
    • Wilders, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.