[1] Amadori D, Baiti P, Corli A, Dal Santo E. Global weak solutions for a model of two-phase flow with a single interface. J Evol Equs, 2015, to appear
[2] Amadori D, Baiti P, Corli A, Dal Santo E. Global existence of solutions for a multi-phase flow: a drop in a gas-tube. submitted, 2015
[3] Amadori D, Corli A. On a model of multiphase flow. SIAM J Math Anal, 2008, 40(1): 134-166
[4] Amadori D, Guerra G. Global BV solutions and relaxation limit for a system of conservation laws. Proc Roy Soc Edinburgh Sect A, 2001, 131(1): 1-26
[5] Asakura F, Corli A. Global existence of solutions by path decomposition for a model of multiphase flow. Quart Appl Math, 2013, 71(1): 135-182
[6] Baiti P, Dal Santo E. Front tracking for a 2 × 2 system of conservation laws. Electron J Differ Equ, 2012, (220): 14
[7] Bressan A. Hyperbolic Systems of Conservation Laws. The One-dimensional Cauchy Problem. Oxford University Press, 2000
[8] Dafermos C M. Hyperbolic Conservation Laws in Continuum Physics. 3rd ed. Berlin: Springer-Verlag, 2010
[9] DiPerna R. Existence in the large for quasilinear hyperbolic conservation laws. Arch Rational Mech Anal, 1973, 52: 244-257
[10] DiPerna R. Global solutions to a class of nonlinear hyperbolic systems of equations. Comm Pure Appl Math, 1973, 26: 1-28
[11] Fan H. On a model of the dynamics of liquid/vapor phase transitions. SIAM J Appl Math, 2000, 60(4): 1270-1301
[12] Fermi E. Thermodynamics. Dover Publications, 1956
[13] Godlewski E. Coupling fluid models. Exploring some features of interfacial coupling//Finite Volumes for Complex Applications V, London: ISTE, 2008: 87-102
[14] Groah J, Smoller J, Temple B. Shock Wave Interactions in General Relativity. Springer Monographs in Mathematics. New York: Springer, 2007
[15] Li T-T, Yu W-C. Boundary Value Problems for Quasilinear Hyperbolic Systems. Duke University, 1985
[16] Liu T-P. Initial-boundary value problems for gas dynamics. Arch Rational Mech Anal, 1977, 64: 137-168
[17] Liu T-P. Solutions in the large for the equations of nonisentropic gas dynamics. Indiana Univ Math J, 1977, 26: 147-177
[18] Nishida T. Global solution for an initial boundary value problem of a quasilinear hyperbolic system. Proc Japan Acad, 1968, 44: 642-646
[19] Nishida T, Smoller J A. Solutions in the large for some nonlinear hyperbolic conservation laws. Comm Pure Appl Math, 1973, 26: 183-200 |