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