FINITE VOLUME HYSTERESIS NO-FLOW CURVES ELEMENTOS FINITOS - GALERKIN ESQUEMA PARA LEIS DE CONSERVAÇÃO HIPERBÓLICAS SHALLOW WATER EQUATIONS DISCONTINUOUS FLUX FUNCTIONS PARTIAL DIFFERENTIAL ALGEBRAIC EQUATION (PDAE) MULTISCALE MODELING AND SIMULATION FINITE ELEMENTS HYPERBOLIC EQUATION NON VISCOUS SOLUTIONS RIEMANN PROBLEM NONLINEAR TRANSPORT EQUATION NO-FLOW LAGRANGIAN-EULERIAN APPROACH HETEROGENEITY TRANSITIONAL WAVES MATHEMATICAL MODELING AND NUMERICAL ANALYSIS WAVELETS ADAPTIVITY HYPERBOLIC CONSERVATION LAW WITH STIFF RELAXATION FLOW IN POROUS MEDIA PDE THEORY, COMPUTATION AND APPLICATIONS BALANCE LAWS WEAK ASYMPTOTIC METHOD MODELING AND SIMULATION OF MULTI-SCALE PHENOMENA CONSERVATIVE DISCRETIZATIONS CLASSICAL AND NON-CLASSICAL SOLUTIONS OF PDES SHOCKS LAGRANGIAN-EULERIAN METHOD MIXED FINITE ELEMENTS METHODS THREE-PHASE FLOW FLUID DYNAMICS COMPUTATIONAL FLUID DYNAMICS "\DELTA"-DIRAC UNIQUENESS OF WEAK ENTROPY SOLUTIONS WEAK ASYMPTOTIC ANALYSIS LAGRANGIAN-EULERIAN FINITE VOLUME