LISTA DE PUBLICAÇÕES

    ARTIGOS DE PESQUISA
     
     
  1. The Morse index theorem for elliptic problems with a constant, Anais da Academia Brasileira de Ciências 55, no. 1 (1983), 9-10, with F. J. Thayer.
  2. Lax Pairs, Boletim da Sociedade Brasileira de Matemática 15, no. 1&2 (1984), 1-6, with F. J. Thayer.
  3. A stability theorem for entropy solutions to quasilinear hyperbolic systems in several space variables, Boletim da Soc. Bras. Mat. 19, no.1 (1988), 39-59.
  4. Uniqueness of solutions to hyperbolic balance laws in several space variables, Comm. Partial Diff. Eqs. 14, no. 8&9 (1989), 959-979.
  5. An abstract version of the Morse index theorem and its application to hypersurfaces with constant mean curvature, Boletim da Soc. Bras. Mat., Nova Série 20, no. 2 (1990), 59-68, with F. J. Thayer.
  6. On a nonlinear hyperbolic problem arising in two-phase flow in naturally fractured reservoirs, Acta Applicandae Mathematicae 25 (1991), 153-194.
  7. The Cauchy problem for a class of nonstrictly hyperbolic systems of conservation laws, Matemática Contemporânea 3 (1992), 29-50, with M. M. Santos.
  8. The Cauchy problem for the systems $\partial_tz+\partial_x({\barz}^\gamma)=0$, J. Diff. Eqs. 111, no. 2 (1994), 340-359, with M. M. Santos.
  9. Nonstrictly hyperbolic systems of conservation laws of conjugate type, Comm. Partial Diff. Eqs. 19, no. 1&2 (1994), 27-59, with M. M. Santos.
  10. Solution to the initial-boundary value problem for the regularized Buckley-Leverett system, Acta Applicandae Mathematicae 38 (1995), 239-265.
  11. Measure-valued solutions for multiphase flow in porous media: existence and asymptotic steadiness of water flooding, Matemática Contemporanea 8 (1995), 177-201.
  12. Existence and asymptotic behavior of measure-valued solutions for three-phase flow in porous media, J. Math. Anal. Appl., 196 (1995), 614-627.
  13. Invariant regions under difference schemes for conservation laws, Discrete and Continuous Dynamical Systems 1, 4 (1995), 585-593.
  14. Oscillation waves in Riemann problems inside elliptic regions for systems of mixed type, Z angew Math Phys-ZAMP (J. Appl. Math. Phys.) 46 (1995), 913-931, with I-Shih Liu.
  15. Phase mixtures in dynamics of pseudoelasticity, Continuum Mechanics and Thermodynamics 7, No.4 (1995), 475-488, with I-Shih Liu.
  16. Initial boundary value problems for systems of conservation laws, J. Diff. Eqs. 128, No.1 (1996), 1-45.
  17. Phase transitions and oscillation waves in an elastic bar, Matemática Contemporânea, 10 (1996), 123-135, with I-Shih Liu.
  18. Measure-valued solutions to initial-boundary value problems for certain systems of conservation laws: existence and dynamics, Trans. Amer. Math. Soc., 348 (1996), 51-76.
  19. Existence and asymptotic behavior of the measure-valued solutions for degenerate conservation laws, J. Diff. Eqs. 127 (1996), 197-224, with G.-Q. Chen.
  20. On a new concept of asymptotic stability for Riemann solutions, Matemática Contemporânea, 10 (1996), 99-121.
  21. Asymptotic decay of solutions to conservation laws, C. R. Acad. Sci. Paris, Serie I (1996), 257-262; with G.-Q. Chen.
  22. Asymptotic stability of Riemann waves for conservation laws, Z angew Math Phys-ZAMP, 48 (1997), 30-44; with G.-Q. Chen.
  23. Oscillation waves in Riemann problems for phase transitions, Quaterly of Appl. Math. 56, No. 1, (1998), 115-135, with I-Shih Liu.
  24. Large-time behavior of entropy solutions in $L^\infty$for multidimensional scalar conservation laws, In: Advances in Nonlinear Partial Differential Equations and Related Areas, pp. 28-44, G.-Q. Chen et al (eds.), World Scientific: Singapore, 1998, with G.-Q. Chen.
  25. On the Compressible Euler Equations in Thermoelasticity, Matemática Contemporânea, Brazilian Mathematical Society-SBM, 15 (1998), 67-86, with G.-Q. Chen.
  26. On the asymptotic behavior of solutions of certain multi-D systems of conservation laws, In: `Hyperbolic Problems: Theory, Numerics, Applications', Seventh International Conference in Zürich, February 1998; Edited by M. Fey and R. Jeltsch. International Series of Numerical Mathematics 128, Birkhäuser, 343-352.
  27. Large-Time Behavior of Entropy Solutions of Conservation Laws, Journal of Differential Equations, 152 (1999), 308-357, with G.-Q. Chen.
  28. Decay of entropy solutions of nonlinear conservation laws, Arch. Rat. Mech. Anal. 146 (1999), 95-127; with G.-Q. Chen.
  29. Vanishing viscosity limit for initial-boundary value problems for conservation laws, Contemporary Mathematics, AMS, 238 (1999), 35-51, with G.-Q. Chen.
  30. Divergence-measure fields and conservation laws, Arch. Rat. Mech. Analysis 147 (1999), 89-118, with G.-Q. Chen.
  31. On boundary layers for the Navier-Stokes equations of compressible fluids, Comm. Math. Phys., 208 (1999), 309-330, with V. Shelukhin.
  32. Vanishing shear viscosity in the equations of compressible fluids for the flows with the cylinder symmetry, SIAM Journal of Mathematical Analysis 31 (2000), no 5, 1144-1156 , with V. Shelukhin.
  33. Uniqueness and Asymptotic Stability of Riemann solutions for the compressible Euler equations, Trans. American Math. Society 353, No. 3 (2001), 1103-1117 with G.-Q. Chen.
  34. Periodic solutions of conservation laws constructed through Glimm scheme, Transactions of the American Mathematical Society 353, No. 11 (2001), 4529-4544.
  35. Maps of convex sets and invariant regions for finite difference conservation laws, Archive for Rational Mechanics and Analysis 160 (2001), 245-269.
  36. Correction to: "Maps of convex sets and invariant regions for finite-difference systems of conservation laws" [Arch. Ration. Mech. Anal. 160 (2001), no. 3, 245--269; MR1869443 (2002h:35176)]. Arch. Ration. Mech. Anal. 171 (2004), no. 2, 297--299.
  37. Decay of almost periodic solutions of conservation laws, Archive for Rational Mechanics and Analysis 161 (2002), 43-64.
  38. Periodic and almost periodic solutions of conservation laws: global existence and decay. Boletim da Sociedade Brasileira de Matemática, 32, No. 1  (2001), 1-35.
  39.  Uniqueness and stability of Riemann solutions with large oscilation in gas dynamics.  Comm. Math. Phys. 228 (2002) 2, 201-217. Jointly with G.-Q. Chen and Y. Li.
  40. On the theory of divergence-measure fields and its applications.  Boletim da Sociedade Brasileira de Matemática, 32, No. 3  (2001). Jointly with G.-Q. Chen.
  41. Boundary layer in parabolic perturbations of scalar conservation laws. To appear in Zeit. angew. Math. Phys.-ZAMP (2002). Jointly with V. Shelukhin.
  42. On a free boundary problem for a strongly degenerate quasilinear parabolic equation with an application to a model of pressure filtration. SIAM Journal Math. Anal. 34 (2003) 3, 611-635. Jointly with R. Buerger and K.H. Karlsen.
  43. A quasilinear  parabolic system for three-phase capillary flow in porous media. SIAM Journal Math. Anal. 35 (2003) 4, 1029-1041. Joint with V. Shelukhin.
  44. Extended divergence-measure fields and the Euler equations for gas dynamics. Communications in Mathematical Physics  236 (2003) 2, 251-280. Joint with G.-Q. Chen.
  45. Global stability of steady solutions for a model in virus dynamics. ESAIM: M2AN-Mathematical Modelling and Numerical Analysis 37 No.4 (2003), 709-723. Joint with P.-E. Jabin and B. Perthame.
  46. Asymptotic stability of Riemann solutions for a class of multi-D viscous systems of conservation laws. Accepted for publication in Archive Rat. Mech. Anal. (2003).
  47. Spatially periodic solutions in relativistic isentropic gas dynamics. Comm. Math. Phys. 250 (2004), 335-370. Jointly with M. Perepelitsa.
  48. Asymptotic stability of non-planar Riemann solutions for a special class of multi-D systems of conservation laws. Journal of Hyperbolic Differential Equations 1 No.3 (2004), 567-579.
  49. Initial boundary value problems for a quasilinear parabolic system in three-phase capillary flow in porous media. SIAM Jour. Math. Anal. 36 No.5 (2004), 1407-1425. Jointly with V. Shelukhin.
  50. Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions. Jour. Diff. Eqs.219 (2005), no.2, 306-322. Jointly with J. P. Dias.
  51. Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Journal of Hyperbolic Differential Equations 3 (2006), no.1, 27-52. Jointly with François Bouchut.
  52. Uniqueness for multidimensional hyperbolic systems with commuting Jacobians. Archive for Rational Mechanics and Analysis 182 (2006), no.1, 25-47.  Jointly with P.G. LeFloch.
  53. Neumann problems for quasilinear parabolic systems modelling polydisperse suspensions.  SIAM J. Math. Anal.38 (2006), no.2, 557-573. Joint with S. Berres and R. Bürger.
  54. Asymptotic stability of Riemann solutions in BGK approximations to certain multidimensional systems of conservation laws. Journal of Differential Equations 230 (2006), no.2, 465-480. Jointly with Leonardo Rendon.
  55. On the well-posedness of  entropy solutions to conservation laws with a zero-flux boundary condition. Journal of Math. Anal. Appl. 326 (2007), no.1, 108-120. Jointly with R. Bürger and K. Karlsen.
  56. Nonlinear maps of convex sets in Hilbert spaces with application to kinetc equations. Bol. Soc. Bras. Mat. 39(3) (2008), 315-340.
  57. $L^1$ Stability of Spatially Periodic Solutions  in   Relativistic Gas Dynamics. To appear in Comm. Math. Phys. (2008). Joint with Daniela Calvo and Rinaldo Colombo.
  58. Multiscale Young measures in almost periodic homogenization and applications. Archive for Rational Mechanics and Analysis 192 (2009), 37-85. Jointly with Luigi Ambrosio.
  59. Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Journal of Functional Analysis 256 (2009), 1962-1997. Joint with Luigi Ambrosio and  Jean Silva.
  60. Vanishing viscosity with short wave long wave interactions for systems of conservation laws. To appear in Archive for Rational Mechanics and Analysis (2009). Joint with João-Paulo Dias and Mário Figueira.
    LIVROS PUBLICADOS
     
  1. Compacidade Compensada Aplicada às Leis de Conservação; Notas de Curso do 19o Colóquio Brasileiro de Matemática, IMPA, RJ, 1993.
  2. Partial Regularity of Solutions of the 3-D Incompressible Navier-Stokes Equations, Notas de Curso do 23o. Colóquio Brasileiro de Matemática, IMPA, 2001. Jointly with M. Perepelitsa.
      
      TRABALHOS RECENTES
  1. Homogenization of nonlinear PDE's in the Fourier-Stieltjes algebras. Submitted (2008). Joint with Jean Silva.