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The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics.
Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Comp
Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Computing Qualitatively Correct Approximations of Balance Laws
Scalar Conservation Laws
Quasilinear Hyperbolic Systems, Compressible Flows, and Waves
Vanishing Viscosity Method
Finite Volume Methods for Hyperbolic Problems
Concentration Compactness
Partial Differential Equations
Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations
One-dimensional Hyperbolic Conservation Laws And Their Applications
Advancement of Shock Capturing Computational Fluid Dynamics Methods