@article{RSMUP_1996__96__195_0, author = {Marcati, Pierangelo and Rubino, Bruno}, title = {History-dependent scalar conservation laws}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {195--204}, publisher = {Seminario Matematico of the University of Padua}, volume = {96}, year = {1996}, mrnumber = {1438298}, zbl = {0874.35072}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1996__96__195_0/} }
TY - JOUR AU - Marcati, Pierangelo AU - Rubino, Bruno TI - History-dependent scalar conservation laws JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1996 SP - 195 EP - 204 VL - 96 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1996__96__195_0/ LA - en ID - RSMUP_1996__96__195_0 ER -
%0 Journal Article %A Marcati, Pierangelo %A Rubino, Bruno %T History-dependent scalar conservation laws %J Rendiconti del Seminario Matematico della Università di Padova %D 1996 %P 195-204 %V 96 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1996__96__195_0/ %G en %F RSMUP_1996__96__195_0
Marcati, Pierangelo; Rubino, Bruno. History-dependent scalar conservation laws. Rendiconti del Seminario Matematico della Università di Padova, Tome 96 (1996), pp. 195-204. http://www.numdam.org/item/RSMUP_1996__96__195_0/
[1] A version of the fundamental theorem for Young measures, in D. SERRE, editor, Proc. Conf. on Partial Differential Equation and Continuum Models of Phase Transitions, Springer-Verlag (1988). | MR | Zbl
,[2] T.-P. LIU, Zero relaxation and dissipation Limits for hyperbolic conservation laws, Comm. Pure Appl. Math., 46 (1993), pp. 755-781. | MR | Zbl
-[3] The study on application way of the compensated compactness theory, Clin. Sci. Bull., 34 (1989), pp. 15-19. | MR | Zbl
- ,[4] Development of singularities in the motion of materials with fading memory, Arch. Rational Mech. Anal., 91 (1986), pp. 193-205. | MR | Zbl
,[5] Estimates for conservation laws with little viscosity, SIAM J. Math. Anal., 18 (1987), pp. 409-421. | MR | Zbl
,[6] Solutions in L ∞for a conservation law with memory, Analyse Mathématique et Applications, (1988), pp. 117-128. | Zbl
,[7] Energy methods for nonlinear hyperbolic Volterra integrodifferential equations, Comm. Partial Differential Equations, 4 (1979), pp. 219-278. | MR | Zbl
- ,[8] A nonlinear hyperbolic Volterra equation in viscoelasticity, Amer. J. Math., suppl. dedicated to P. Hartman, (1982), pp. 87-116. | MR | Zbl
- ,[9] The Cauchy problem in one-dimensional nonlinear viscoelasticity, J. Differential Equations, 59 (1985), pp. 388-412. | MR | Zbl
- ,[10] Young measure and application of compensated compactness to one-dimensional nonlinear elacstodynamics, Trans. Amer. Math. Soc., 329 (1992), pp. 377-413. | MR | Zbl
,[11] Nonlinear waves for viscoelasticity with fading memory, J. Differential Equations, 76 (1988), pp. 26-46. | MR | Zbl
,[12] A model for one-dimensional nonlinear viscoelasticity, Quart. Appl. Math., 35 (1977), pp. 21-33. | MR | Zbl
,[13] Relaxation and singular convergence for quasitinear hyperbolic systems, in L. BOCCARDO, M. A. HERRERO and A. TESEI, editors, First Italian-Spain Meeting on Nonlinear Analisis, pp. 140-148, Rome (1989), Quaderno IAC-CNR.
,[14] The one-dimensional Darcy's law as the limit of a compressible Euler flow, J. Differential Equations, 13 (1990), pp. 129-147. | MR | Zbl
- ,[15] Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system, Manuscripta Math., 60 (1988), pp. 49-69. | MR | Zbl
- - ,[16] Development of singularities in nonlinear viscoelasticity, in Amorphous Polymers and Non-Newtonian Fluids, vol. 6, pp. 139-152, Springer Lecture Notes in Mathematics (1987), IMA Vol. Math. Appl. | MR
- ,[17] Mathematical Problems in Viscoelasticity, John Wiley and Longmann Press (1987). | MR | Zbl
- - ,[18] Convergence of solutions to nonlinear dispersive equations, Comm. Partial Differential Equations, 7 (1982), pp. 959-1000. | MR | Zbl
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