2. On the Modeling of Bingham Visco-Plastic Flow -- 3. Time-Discretization of Problem (2.6)-(2.9) by Operator Splitting -- 4. On the Finite Element Approximation of Problem (2.6)-(2.9) -- 5. Solution of the Subproblems Encountered at Each Time Step of Scheme (3.1)-(3.4) -- 5.1 Solution of the Generalized Stokes Subproblems (3.2) -- 5.2 Solution of the Transport Sub-Problems (3.3) -- 5.3 Solution of the Elliptic Variational Inequalities (3.4) -- 6. Numerical Experiments -- References -- On the Uniqueness of the Weak Solutions of a Quasilinear Hyperbolic System with a Singular Source Term -- 1. Introduction and Main Results -- 2. Proof of Theorem 1.2. -- 3. Proofs of Theorems 1.3 and 1.4 -- 3.1 Sketch of the proof of Theorem 1.3 -- 3.2 Sketch of the proof of Theorem 1.4 -- References -- On the Classification of Initial Data for Nonlinear Wave Equations -- 1. Introduction -- 2. Hyperbolic Liouville Equation -- 3. Some Cases for [f]=C xC -- 4. Dual Relation -- 5. Case of Hyperbolic Systems -- References -- Regularity Results for Linear Elliptic Problems Related to the Primitive Equations -- 1. Introduction -- 2. Preliminary Results -- 3. Proof of the Main Result -- 4. Appendix -- References -- Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems -- 1. Introduction -- 2. Main Results -- 3. Application to a Class of Nonlinear Vibrating String Problem -- References -- On Nonlinear Differential Galois Theory -- 1. General Definitions -- 2. D-Envelope and Galois Groupoid -- 3. Examples -- (i) The Linear Case -- (ii) Codimension One -- (iii) Remark: Lie Symmetries and Galois Symmetries -- 4. Further Examples and Problems -- References -- Iterative Algorithms for Data Assimilation Problems -- 0. Introduction -- 1. Statement of the Problem -- 2. Control Operator and Its Properties -- 3. Spectrum Bounds of the Control Operator.

4. Iterative Algorithms -- References -- Quadrilateral Mesh -- 1. Introduction -- 2. Shape Regular Mesh Condition -- 2.1 Geometric Facts of Quadrilateral Mesh -- 2.2 Shape Regular Mesh Conditions -- 3. Equivalence of Shape Regular Conditions -- 4. Degenerate Mesh Condition -- Degenerate Mesh Conditions -- 5. 4-Node Isoparametric Element -- 6. Nonconforming Quadrilateral Element -- 6.1 Wilson Element -- 6.2 Nonconforming Rotated Q1 Element -- 7. RT Element of Lowest-Order -- 8. Conclusions and Open Problems -- References -- On the Hyperbolic Obstacle Problem of First Order -- 1. Introduction -- 2. The Obstacle Problem of First Order -- 3. An Inequality for Strong Solutions -- 4. Stability of the Coincidence Set -- 5. An Estimate on the Coincidence Set -- 6. The Stability of the Evolution Problem -- References -- Instability of Traveling Waves of the Kuramoto-Sivashinsky Equation -- 0. Introduction -- 1. The Abstract Theorem -- 2. Application to the Kuramoto-Sivashinsky Equation -- References -- Complexity of Large Time Behaviour of Evolution Equations with Bounded Data -- 1. Introduction -- 2. The Heat Equation -- 3. The Scaling of Bounded Data -- 3.1 Simple G-Omega-Limits -- 3.2 General G-Omega-Limits -- 3.3 Maximal Omega-Limits -- 4. General Evolution Setting. Main Asymptotic Formula -- 4.1 Regularizing Semigroups -- 4.2 Local and Global Convergence -- 4.3 Log-Periodic Solutions -- 5. The Heat Equation Revisited -- 6. Nonlinear Heat Equations -- 6.1 The Porous Medium and Related Equations -- 6.2 The p-Laplacian Equation -- 7. Scalar Conservation Laws. The Compact Case -- 7.1 One Space Dimension -- 7.2 Several Space Dimensions -- 8. Lack of Compactness -- 9. Extending the Scope of the Theory -- 10. Quasi-Invariance -- References.