The One-Dimensional Darcy's Law as the Limit of a Compressible Euler Flow

[1]  Pierangelo Marcati,et al.  Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system , 1988 .

[2]  A. Majda,et al.  Oscillations and concentrations in weak solutions of the incompressible fluid equations , 1987 .

[3]  J. Vázquez,et al.  The Porous Medium Equation as a Finite-speed Approximation to a Hamilton-Jacobi Equation , 1987 .

[4]  A. Majda,et al.  Concentrations in regularizations for 2-D incompressible flow , 1987 .

[5]  Tai-Ping Liu.  Hyperbolic conservation laws with relaxation , 1987 .

[6]  C. Dafermos.  Estimates for conservation laws with little viscosity , 1987 .

[7]  R. Perna.  Compensated compactness and general systems of conservation laws , 1985 .

[8]  Peizhu Luo,et al.  CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III) , 1985 .

[9]  R. J. Diperna,et al.  Measure-valued solutions to conservation laws , 1985 .

[10]  R. J. Diperna,et al.  Convergence of the viscosity method for isentropic gas dynamics , 1983 .

[11]  R. J. Diperna.  Convergence of approximate solutions to conservation laws , 1983 .

[12]  G. Whitham,et al.  Linear and Nonlinear Waves , 1976 .

[13]  A. Milani,et al.  Fluid flow in macromolecular systems and related perturbation problems , 1990 .

[14]  P. Marcati.  Approximate solutions to conservation laws via convective parabolic equations , 1988 .

[15]  Andrew J. Majda,et al.  Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow , 1988 .

[16]  J. Vázquez.  Hyperbolic Aspects in the Theory of the Porous Medium Equation , 1987 .

[17]  A. Milani.  long time existence and singular perturbation results for quasilinear hyperbolic equations with small parameter and dissipation term—III , 1986 .

[18]  D. Serre.  La compacité par compensation pour les systèmes hyperboliques non linéaires de deux équations à une dimension d'espace , 1986 .

[19]  A. Majda.  Compressible fluid flow and systems of conservation laws in several space variables , 1984 .

[20]  J. Smoller.  Shock Waves and Reaction-Diffusion Equations , 1983 .

[21]  J. Lions.  Perturbations Singulières dans les Problèmes aux Limites et en Contrôle Optimal , 1973 .

[22]  Takaaki Nishida,et al.  Global solution for an initial boundary value problem of a quasilinear hyperbolic system , 1968 .

[23]  W. D. Evans,et al.  PARTIAL DIFFERENTIAL EQUATIONS , 1941 .