Ph.D. María ANGUIANO Web en francés Web en inglés Web en español Web Suisse Web USA

Ph.D. in Mathematics
Professor

  1. Influence of the Reynolds number on non-Newtonian flow in thin porous media
    María Anguiano, Matthieu Bonnivard & F.J. Suárez-Grau
  2. Navier slip effects in micropolar thin-film flow: a rigorous derivation of Reynolds-type models
    María Anguiano, Igor Pažanin & F.J. Suárez-Grau
  3. Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity
    María Anguiano & F.J. Suárez-Grau
  4. Darcy's law for micropolar fluid flow in a periodic thin porous medium
    María Anguiano & F.J. Suárez-Grau
  5. Two-dimensional Carreau law for a quasi-newtonian fluid flow through a thin domain with a slightly rough boundary
    María Anguiano & F.J. Suárez-Grau
  6. Homogenization of a Stokes problem with non homogeneous Fourier boundary conditions in a thin perforated domain
    María Anguiano & F.J. Suárez-Grau
  7. Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter
    María Anguiano & F.J. Suárez-Grau
  8. On the effects of surface roughness in non-isothermal porous medium flow
    María Anguiano, Igor Pažanin & F.J. Suárez-Grau
    Bulletin of the Malaysian Mathematical Sciences Society, (2026).
    https://doi.org/10.1007/s40840-026-02087-5
    idUS
    Position (JCR): 84/492 (T1/Q1). Mathematics.
  9. Modeling Carreau fluid flows through a very thin porous medium
    María Anguiano, Matthieu Bonnivard & F.J. Suárez-Grau
    Studies in Applied Mathematics, 156, 3 (2026).
    https://doi.org/10.1111/sapm.70199
    idUS
    Position (JCR): 48/344 (T1/Q1). Mathematics, Applied.
  10. Modeling of a micropolar thin film flow with rapidly varying thickness and non-standard boundary conditions
    María Anguiano & F.J. Suárez-Grau
    Acta Mathematica Scientia, 46, pages 209-242 (2026).
    https://doi.org/10.1007/s10473-026-0113-6
    idUS
    Position (JCR): 108/483 (T1/Q1). Mathematics.
  11. Modeling of a non-Newtonian thin film passing a thin porous medium
    María Anguiano & F.J. Suárez-Grau
    Mathematical Modelling of Natural Phenomena, 20, 21, 37 pages (2025).
    https://doi.org/10.1051/mmnp/2025020
    idUS
    Position (JCR): 57/343 (T1/Q1). Mathematics, Applied.
  12. Asymptotic analysis of the Navier-Stokes equations in a thin domain with power law slip boundary conditions
    María Anguiano & F.J. Suárez-Grau
    Mathematische Nachrichten, 298, 8, pages 2691-2711 (2025).
    https://doi.org/10.1002/mana.70011
    idUS
    Position (JCR): 193/483 (T2/Q2). Mathematics.
  13. Effective models for generalized Newtonian fluids through a thin porous media following the Carreau law
    María Anguiano, Matthieu Bonnivard & F.J. Suárez-Grau
    ZAMM - Journal of Applied Mathematics and Mechanics, 105, 1 (2025).
    https://doi.org/10.1002/zamm.202300920
    idUS
    Position (JCR): 13/343 (T1/Q1). Mathematics, Applied.
  14. Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain
    María Anguiano & F.J. Suárez-Grau
    ZAMP - Journal of Applied Mathematics and Physics, 75, 28 (2024).
    https://doi.org/10.1007/s00033-023-02169-5
    idUS
    Position (JCR): 98/343 (T1/Q2). Mathematics, Applied.
  15. On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media
    María Anguiano
    Mediterranean Journal of Mathematics, 20, 124 (2023).
    https://doi.org/10.1007/s00009-023-02333-1
    idUS
    Position (JCR): 98/490 (T1/Q1). Mathematics.
  16. Sharp pressure estimates for the Navier-Stokes system in thin porous media
    María Anguiano & F.J. Suárez-Grau
    Bulletin of the Malaysian Mathematical Sciences Society, 46, 117 (2023).
    https://doi.org/10.1007/s40840-023-01514-1
    idUS
    Position (JCR): 117/490 (T1/Q1). Mathematics.
  17. Carreau law for non-Newtonian fluid flow through a thin porous media
    María Anguiano, Matthieu Bonnivard & F.J. Suárez-Grau
    The Quarterly Journal of Mechanics and Applied Mathematics, 75, 1, pages 1-27 (2022).
    https://doi.org/10.1093/qjmam/hbac004
    idUS
    Position (JCR): 197/267 (T3/Q3). Mathematics, Applied.
  18. Reaction-diffusion equation on thin porous media
    María Anguiano
    Bulletin of the Malaysian Mathematical Sciences Society, 44, pages 3089-3110 (2021).
    https://doi.org/10.1007/s40840-021-01103-0
    idUS
    Position (JCR): 81/333 (T1/Q1). Mathematics.
  19. Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium
    María Anguiano & F.J. Suárez-Grau
    Mediterranean Journal of Mathematics, 18, 175 (2021).
    https://doi.org/10.1007/s00009-021-01814-5
    idUS
    Position (JCR): 96/333 (T1/Q2). Mathematics.
  20. Homogenization of parabolic problems with dynamical boundary conditions of reactive-diffusive type in perforated media
    María Anguiano
    ZAMM - Journal of Applied Mathematics and Mechanics, 100, 10 (2020).
    https://doi.org/10.1002/zamm.202000088
    idUS
    Position (JCR): 108/265 (T2/Q2). Mathematics, Applied.
  21. Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media
    María Anguiano
    Mediterranean Journal of Mathematics, 17, 18 (2020).
    https://doi.org/10.1007/s00009-019-1459-y
    idUS
    Position (JCR): 88/330 (T1/Q2). Mathematics.
  22. Homogenization of Bingham Flow in thin porous media
    María Anguiano & Renata Bunoiu
    Networks and Heterogeneous Media, 15, 1, pages 87-110 (2020).
    http://dx.doi.org/10.3934/nhm.2020004
    idUS
    Position (JCR): 90/108 (T3/Q4). Mathematics, Interdisciplinary Applications.
  23. On the flow of a viscoplastic fluid in a thin periodic domain
    María Anguiano & Renata Bunoiu
    In: C. Constanda, P. Harris (eds.), Integral Methods in Science and Engineering, Springer Nature Switzerland AG (2019).
    https://doi.org/10.1007/978-3-030-16077-7_2
  24. Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure
    María Anguiano
    European Journal of Applied Mathematics, 30, 2, pages 248-277 (2019).
    https://doi.org/10.1017/S0956792518000049
    idUS
    Position (JCR): 83/261 (T1/Q2). Mathematics, Applied.
  25. Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
    María Anguiano & F.J. Suárez-Grau
    Networks and Heterogeneous Media, 14, 2, pages 289-316 (2019).
    http://dx.doi.org/10.3934/nhm.2019012
    idUS
    Position (JCR): 75/106 (T3/Q3). Mathematics, Interdisciplinary Applications.
  26. Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
    María Anguiano & F.J. Suárez-Grau
    IMA Journal of Applied Mathematics, 84, 1, pages 63-95 (2019).
    https://doi.org/10.1093/imamat/hxy052
    idUS
    Position (JCR): 81/261 (T1/Q2). Mathematics, Applied.
  27. Uniform boundedness of the attractor in H2 of a non-autonomous epidemiological system
    María Anguiano
    Annali di Matematica Pura ed Applicata (1923 -), 197, pages 1729-1737 (2018).
    https://doi.org/10.1007/s10231-018-0745-9
    idUS
    Position (JCR): 55/314 (T1/Q1). Mathematics.
  28. Analysis of the effects of a fissure for a non-Newtonian fluid flow in a porous medium
    María Anguiano & F.J. Suárez-Grau
    Communications in Mathematical Sciences, 16, 1, pages 273-292 (2018).
    https://dx.doi.org/10.4310/CMS.2018.v16.n1.a13
    idUS
    Position (JCR): 95/254 (T2/Q2). Mathematics, Applied.
  29. The transition between the Navier-Stokes equations to the Darcy equation in a thin porous medium
    María Anguiano & F.J. Suárez-Grau
    Mediterranean Journal of Mathematics,15, 45 (2018).
    https://doi.org/10.1007/s00009-018-1086-z
    idUS
    Position (JCR): 66/314 (T1/Q1). Mathematics.
  30. The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
    María Anguiano & Alain Haraux
    Evolution Equation and Control Theory, 6, 3, pages 345-356 (2017).
    http://dx.doi.org/10.3934/eect.2017018
    idUS
    Position (JCR): 62/310 (T1/Q1). Mathematics.
  31. Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space
    M. Abdelli, María Anguiano & Alain Haraux
    Nonlinear Analysis, 161, pages 157-181 (2017).
    https://doi.org/10.1016/j.na.2017.06.001
    idUS
    Position (JCR): 39/310 (T1/Q1). Mathematics.
  32. Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
    María Anguiano
    Mathematical Methods in the Applied Sciences, 40, 13, pages 4738-4757 (2017).
    https://doi.org/10.1002/mma.4341
    idUS
    Position (JCR): 91/252 (T2/Q2). Mathematics, Applied.
  33. On the non-stationary non-Newtonian flow through a thin porous medium
    María Anguiano
    ZAMM - Journal of Applied Mathematics and Mechanics, 97, 8, pages 895-915 (2017).
    https://doi.org/10.1002/zamm.201600177
    idUS
    Position (JCR): 79/252 (T1/Q2). Mathematics, Applied.
  34. Darcy's laws for non-stationary viscous fluid flow in a thin porous medium
    María Anguiano
    Mathematical Methods in the Applied Sciences, 40, 8, pages 2878-2895 (2017).
    https://doi.org/10.1002/mma.4204
    idUS
    Position (JCR): 91/252 (T2/Q2). Mathematics, Applied.
  35. Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure
    María Anguiano & F.J. Suárez-Grau
    ZAMP - Journal of Applied Mathematics and Physics, 68, 52 (2017).
    https://doi.org/10.1007/s00033-017-0797-5
    idUS
    Position (JCR): 44/252 (T1/Q1). Mathematics, Applied.
  36. Homogenization of an incompressible non-Newtonian flow through a thin porous medium
    María Anguiano & F.J. Suárez-Grau
    ZAMP - Journal of Applied Mathematics and Physics, 68, 45 (2017).
    https://doi.org/10.1007/s00033-017-0790-z
    idUS
    Position (JCR): 44/252 (T1/Q1). Mathematics, Applied.
  37. Existence and estimation of the Hausdorff dimension of attractors for an epidemic model
    María Anguiano
    Mathematical Methods in the Applied Sciences, 40, 4, pages 857-870 (2017).
    https://doi.org/10.1002/mma.4008
    idUS
    Position (JCR): 91/252 (T2/Q2). Mathematics, Applied.
  38. Pullback attractors for a reaction-diffusion equation in a general nonempty open subset of RN with non-autonomous forcing term in H-1
    María Anguiano
    International Journal of Bifurcation and Chaos, 5, 12, 1550164 (2015).
    https://doi.org/10.1142/S0218127415501643
    idUS
    Position (JCR): 46/101 (T2/Q2). Mathematics, Interdisciplinary Applications.
  39. H2-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion
    María Anguiano
    Nonlinear Analysis: Theory, Methods & Applications, 113, pages 180-189 (2015).
    https://doi.org/10.1016/j.na.2014.10.008
    idUS
    Position (JCR): 43/312 (T1/Q1). Mathematics.
  40. Attractors for a non-autonomous Liénard equation
    María Anguiano
    International Journal of Bifurcation and Chaos, 25, 2, 1550032 (2015).
    https://doi.org/10.1142/S0218127415500327
    idUS
    Position (JCR): 46/101 (T2/Q2). Mathematics, Interdisciplinary Applications.
  41. Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions
    María Anguiano, P. Marín-Rubio & José Real
    Nonlinear Analysis Series B: Real World Applications, 20, pages 112-125 (2014).
    https://doi.org/10.1016/j.nonrwa.2014.05.003
    idUS
    Position (JCR): 6/257 (T1/Q1). Mathematics, Applied.
  42. Asymptotic behaviour of the nonautonomous SIR equations with diffusion
    María Anguiano & P.E. Kloeden
    Communications on Pure and Applied Analysis, 13, 1, pages 157-173 (2014).
    http://dx.doi.org/10.3934/cpaa.2014.13.157
    idUS
    Position (JCR): 79/312 (T1/Q2). Mathematics.
  43. Asymptotic behaviour of a nonautonomous Lorenz-84 system
    María Anguiano & T. Caraballo
    Discrete and Continuous Dynamical Systems - Series A, 34, 10, pages 3901-3920 (2014).
    http://dx.doi.org/10.3934/dcds.2014.34.3901
    idUS
    Position (JCR): 58/312 (T1/Q1). Mathematics.
  44. Pullback Attractors for non-autonomous dynamical systems
    María Anguiano, T. Caraballo, José Real & J. Valero
    In: S. Pinelas, M. Chipot, Z. Dosla (eds.), Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, Vol. 47 (2013). Springer, New York, NY.
    https://doi.org/10.1007/978-1-4614-7333-6_15
  45. Pullback attractors for a non-autonomous integro-differential equation with memory in some unbounded domains
    María Anguiano, T. Caraballo, José Real & J. Valero
    International Journal of Bifurcation and Chaos, 23, 3, 1350042 (2013).
    https://doi.org/10.1142/S0218127413500429
    idUS
    Position (JCR): 22/55 (T2/Q2). Multidisciplinary Sciences.
  46. On the Kneser property for reaction-diffusion equations in some unbounded domains with an H-1-valued non-autonomous forcing term
    María Anguiano, F. Morillas & J. Valero
    Nonlinear Analysis: Theory, Methods & Applications, 75, 4, pages 2623-2636 (2012).
    https://doi.org/10.1016/j.na.2011.11.007
    idUS
    Position (JCR): 13/296 (T1/Q1). Mathematics.
  47. Pullback attractors for non-autonomous reaction-diffusion equations with dynamical boundary conditions
    María Anguiano, P. Marín-Rubio & José Real
    Journal of Mathematical Analysis and Applications, 383, 2, pages 608-618 (2011).
    https://doi.org/10.1016/j.jmaa.2011.05.046
    idUS
    Position (JCR): 41/289 (T1/Q1). Mathematics.
  48. Asymptotic behaviour of nonlocal reaction-diffusion equations
    María Anguiano, P.E. Kloeden & T. Lorenz
    Nonlinear Analysis: Theory, Methods & Applications, 73, 9, pages 3044-3057 (2010).
    https://doi.org/10.1016/j.na.2010.06.073
    idUS
    Position (JCR): 26/279 (T1/Q1). Mathematics.
  49. Pullback attractors for reaction-diffusion equations in some unbounded domains with an H-1-valued non-autonomous forcing term and without uniqueness of solutions
    María Anguiano, T. Caraballo, José Real & J. Valero
    Discrete and Continuous Dynamical Systems Series B, 14, 2, pages 307-326 (2010).
    http://dx.doi.org/10.3934/dcdsb.2010.14.307
    idUS
    Position (JCR): 94/236 (T2/Q2). Mathematics, Applied.
  50. Pullback attractor for a non-autonomous reaction-diffusion equation in some unbounded domains
    María Anguiano
    Boletín SEMA, 51, pages 9-16 (2010).
    https://doi.org/10.1007/BF03322548
    idUS
  51. An exponential growth condition in H2 for the pullback attractor of a non-autonomous reaction-diffusion equation
    María Anguiano, T. Caraballo & José Real
    Nonlinear Analysis: Theory, Methods & Applications, 72, 11, pages 4071-4075 (2010).
    https://doi.org/10.1016/j.na.2010.01.038
    idUS
    Position (JCR): 26/279 (T1/Q1). Mathematics.
  52. H2-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation
    María Anguiano, T. Caraballo & José Real
    Nonlinear Analysis: Theory, Methods & Applications, 72, 2, pages 876-880 (2010).
    https://doi.org/10.1016/j.na.2009.07.027
    idUS
    Position (JCR): 26/279 (T1/Q1). Mathematics.
  53. Existence of pullback attractor for a reaction-diffusion equation in some unbounded domains with non-autonomous forcing term in H-1
    María Anguiano, T. Caraballo & José Real
    International Journal of Bifurcation and Chaos, 20, 9, pages 2645-2656 (2010).
    https://doi.org/10.1142/S021812741002726X
    idUS
    Position (JCR): 22/59 (T2/Q2). Multidisciplinary Sciences.