Young measure solutions for nonlinear evolutionary systems of mixed type
Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 1, pp. 143-162. 
@article{AIHPC_1997__14_1_143_0,
     author = {Demoulini, Sophia},
     title = {Young measure solutions for nonlinear evolutionary systems of mixed type},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {143--162},
     publisher = {Gauthier-Villars},
     volume = {14},
     number = {1},
     year = {1997},
     mrnumber = {1437192},
     zbl = {0871.35065},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1997__14_1_143_0/}
}
TY  - JOUR
AU  - Demoulini, Sophia
TI  - Young measure solutions for nonlinear evolutionary systems of mixed type
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1997
SP  - 143
EP  - 162
VL  - 14
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1997__14_1_143_0/
LA  - en
ID  - AIHPC_1997__14_1_143_0
ER  - 
%0 Journal Article
%A Demoulini, Sophia
%T Young measure solutions for nonlinear evolutionary systems of mixed type
%J Annales de l'I.H.P. Analyse non linéaire
%D 1997
%P 143-162
%V 14
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1997__14_1_143_0/
%G en
%F AIHPC_1997__14_1_143_0
Demoulini, Sophia. Young measure solutions for nonlinear evolutionary systems of mixed type. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 1, pp. 143-162. http://www.numdam.org/item/AIHPC_1997__14_1_143_0/

[1] J. Ball, A version of the fundamental theorem of Young measures, in PDE's and continuum models of phase transitions, Rascle, Serre and Slemrod, eds., Vol. 344, Lecture Notes of Physics, Springer-Verlag, 1989, pp. 207-215. | MR | Zbl

[2] J. Ball, P. Holmes, R. James, R. Pego and P. Swart, On the dynamics of fine structure, J. Nonlinear Science Vol. 1, 1991, pp. 17-70. | MR | Zbl

[3] F. Bethuel, J. Coron, J. Ghidaglia and A. Soyeur, Heat flows and relaxed energies for harmonic maps, in Nonlinear Diffusion Equations and Their Equilibrium States, 3, Lloyd, Ni, Peletier and Serrin, eds., Progress in Nonlinear Differential Equations, Vol. 7, Birkhäuser, 1992, pp. 99-109. | MR | Zbl

[4] M. Chipot and D. Kinderlehrer, Equilibrium Configurations of Crystals, Arch. Rat. Mech. Anal., Vol. 103 (3), 1988, pp. 237-277. | MR | Zbl

[5] B. Dacorogna, Direct Methods in the Calculus of Variations, Springer-Verlag, 1989. | MR | Zbl

[6] S. Demoulini, Young measure solutions for a nonolinear parabolic equation of forward-backward type, SIAM J. Math. Anal., Vol. 27 (2), 1996, pp. 376-403. | MR | Zbl

[7] R. Diperna, Convergence of approximate solutions to conservation laws, Arch. Rat. Mech. Anal., Vol. 82, 1983, pp. 27-70. | MR | Zbl

[8] R. Diperna, Measure-valued solutions to conservation laws, Arch. Rat. Mech. Anal., Vol. 88 (3), 1985, pp. 223-270. | MR | Zbl

[9] H.T. Fan and M. Slemrod, Shock induced transitions and phase structures in general media, Dunn, Fosdick and Slemrod, eds., IMA Volumes in Mathematics and its Applications, Vol. 52, Springer Verlag, 1993. | MR | Zbl

[10] K. Horihata and N. Kikuchi, A construction of solutions satisfying a Cacciopoli inequality for non-linear parabolic equations associated to a variational functional of harmonic type, Boll. Un. Mat. Ital. Vol. 3-A(7), 1989, pp. 199-207.

[11] ] D. Kinderlehrer and P. Pedregal, Weak convergence of integrands and the Young measure representation, Siam. J. Math. Anal., Vol. 23 (1), 1992, pp. 1-19. | MR | Zbl

[12] D. Kinderlehrer and P. Pedregal, Remarks about the analysis of Gradient Young measures, J. Geom. Anal., Vol. 4 (1), 1994, pp. 59-90. | MR | Zbl

[13] J.L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod, 1969. | MR | Zbl

[14] P. Rybka, Dynamical modeling of phase transitions by means of viscoelasticity in many dimensions, Proc. Roy. Soc. Edinburgh, Vol. 121A (1-2), 1993, pp. 101-138. | MR | Zbl

[15] M. Slemrod, Dynamics of measure valued solutions to a backward-forward heat equation, J. Dynamics Diff. Equations, Vol. 3 (1), 1991, pp. 1-28. | MR | Zbl

[16] P. Swart and P. Holmes, Energy minimisation and formation of microstructure in dynamic anti-plane shear, Arch. Rat. Mech. Anal., Vol. 121 (1), 1992, pp. 37-85. | MR | Zbl