Compactness of Solutions for Scalar Viscous Conservation Laws in Noncylindrical Domains
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[1] G.-Q. Chen and H. Frid, Large-time behavior of Entropy Solutions in L1 for Multidimensional Scalar Conservation Laws, Advances in nonlinear partial differential equations and related areas, World Sci. Pub., River Edge, NJ, (1998), 28–44.
R. DiPerna and P.L. Lions, Global weak solutions of Vlasov-Maxwell systems, Comm. Pure Appl. Math., 42 (1989), 729–757.
L.C. Evans, Weak Convergence Methods for Nonlinear Partial Differential Equations, in “CBMS Regional Conference Series in Mathematics No. 74”, AMS, Providence, 1990.
L.C. Evans and R.F. Gariepy, “Lecture Notes on Measure Theory and Fine Properties of Functions”, CRC Press, Boca Raton, Florida, 1992.
H. Federer, “Geometric Measure Theory”, Springer-Verlag, New York, 1969.
G.B. Folland, “Real Analysis: modern techniques and their applications”, John Willey & Sons, Inc., 1999.
H. Frid, Compacidade Compensada Aplicada as Leis de Conservação, em “19 Colóquio Brasileiro de Matemática”, IMPA.
P.L. Lions, B. Perthame and E. Tadmor, A Kinetic formulation of multidimensional scalar conservation laws and related equations, J. Amer. Math. Soc., 7 (1994), 169–192.
W. Neves, Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains, J. Differential Equations, 192 (2003), 360–395.
B. Perthame, “Kinetic Formulation of Conservation Laws”, Oxford Lecture Series in Mathematics and Its Applications, 2003.
L. Schwartz, “Théorie des Distributions”, (2 volumes), Actualites Scientifiques et Industrielles 1091, 1122, Herman, Paris, 1950-51.
D. Serre, “Systems of Conservation Laws”, Vols. 1–2, Cambridge University Press, Cambridge, 1999.
DOI: https://doi.org/10.5540/tema.2003.04.03.0347
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Trends in Computational and Applied Mathematics
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