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Publicaciones

Versiones preliminares de artículos se indican con una liga [PRE] o con [ARXV] para la versión en arxiv.org. Las ligas al Identificador Digital de Objetos (DOI) están indicadas mediante [DOI]. Las ligas marcadas como [PDF] contienen las versiones publicadas en formato PDF. Use el menú de la derecha para navegar.

Artículos en Preparación

  1. R. Folino, C. A. Hernández Melo, L. F. López Ríos, R. G. Plaza, Nonlinear stability of stationary reaction diffusion-degenerate Nagumo fronts.


Artículos Sometidos a Arbitraje


  1. A. Capella, C. Melcher, L. Morales, R. G. Plaza, Stability of moving Néel walls in ferromagnetic thin films. Preprint, 2024. Submitted to Z. Angew. Math. Phys. [ARXV]
  2. A. Naumkina, R. G. Plaza, Orbital instability of periodic waves for generalized Korteweg-de Vries-Burgers equations with a source. Preprint, 2024. [ARXV]
  3. F. Angeles, R. G. Plaza, J. M. Valdovinos, Dissipative structure of higher order systems in several space dimensions. Preprint, 2024. [ARXV]
  4. R. G. Plaza, J. M. Valdovinos, Global decay of perturbations of equilibrium states for one-dimensional heat conducting compressible fluids of Korteweg type. Preprint, 2023. Submitted to J. Differ. Equ. [ARXV]
  5. C. Lattanzio, C. Mascia, R. G. Plaza, C. Simeoni, Analysis and numerics of the propagation speed for hyperbolic reaction-diffusion models. Preprint, 2019. Submitted to D. Donatelli (ed.), Partial Differential Equations: Ambitious Mathematics for Real-Life Applications, SEMA-SEMAI Series, Springer-Verlag. [ARXV|PRE]
  6. C. Lattanzio, C. Mascia, R. G. Plaza, C. Simeoni, Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type. Preprint, 2018. Submitted to D. Donatelli (ed.), Partial Differential Equations: Ambitious Mathematics for Real-Life Applications, SEMA-SEMAI Series, Springer-Verlag. [ARXV|PRE]


Publicaciones en Revistas Arbitradas

  1. A. Capella, C. Melcher, L. Morales, R. G. Plaza, Nonlinear stability of static Néel walls in ferromagnetic thin films. Arch. Ration. Mech. Anal. 248 (2024), no. 119, 1-47. [ARXV|DOI]
  2. R. G. Plaza, D. Zhelyazov, Well-posedness and decay structure of a quantum hydrodynamics system with Bohm potential and linear viscosity. J. Math. Phys. 65 (2024), 081508, 1-35. [ARXV|DOI]
  3. R. Folino, A. Naumkina, R. G. Plaza, Instability of periodic waves for the Korteweg-de Vries-Burgers equation with monostable source. Phys. D 467 (2024), 134234, 1-10. [ARXV|DOI]
  4. E. Álvarez, J. Angulo Pava, R. G. Plaza, Orbital instability of periodic waves for scalar viscous balance laws. J. Evol. Equ. 24 (2024), art. no. 7, 1-35. [ARXV|DOI]
  5. R. Folino, R. G. Plaza, D. Zhelyazov, Spectral stability of weak dispersive shock profiles in a quantum hydrodynamics system with nonlinear viscosity. J. Differ. Equ. 359 (2023), 330-364. [ARXV|DOI]
  6. J. F. Leyva, L. F. López Ríos, R. G. Plaza, Spectral stability of monotone traveling fronts for reaction diffusion-degenerate Nagumo equations. Indiana Univ. Math. J. 71 (2022), no. 6, 2335-2376. [ARXV|DOI]
  7. R. Folino, R. G. Plaza, D. Zhelyazov, Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity. Comm. Pure Appl. Anal. 21 (2022), no. 12, 4019-4040. [ARXV|DOI]
  8. E. Álvarez, R. Murillo, R. G. Plaza, Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source. Math. Model. Nat. Phenom. 17 (2022), art. no. 13, 1-25. [ARXV|DOI]
  9. R. G. Plaza, J. M. Valdovinos, Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type. J. Math. Anal. Appl. 514 (2022), no. 2, 126336. [ARXV|DOI]
  10. R. Folino, L. F. López Ríos, R. G. Plaza, Long-time behavior of solutions to the generalized Allen-Cahn model with degenerate diffusivity. Nonlinear Differ. Equ. Appl. 29 (2022), art. no. 45, 1-38. [ARXV|DOI]
  11. R. G. Plaza, F. Vallejo, Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type. Arch. Ration. Mech. Anal. 243 (2022), no. 2, 943-1017. [ARXV|DOI]
  12. J. Angulo Pava, R. G. Plaza, Unstable kink and anti-kink profiles for the sine-Gordon equation on a 𝒴𝒴-junction graph. Math. Z. 300 (2022), no. 3, 2885-2915. [ARXV|DOI]
  13. J. Angulo Pava, R. G. Plaza, Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries. Phys. D 427 (2021), 133020, 1-12. [ARXV|DOI]
  14. E. Álvarez, R. G. Plaza, Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws. Quart. Appl. Math. 79 (2021), no. 3, 493-544. [ARXV|DOI]
  15. R. Folino, R. G. Plaza, M. Strani, Long time dynamics of solutions to p-Laplacian diffusion problems with bistable reaction terms. Discr. Cont. Dyn. Syst. 41 (2021), no. 7, 3211-3240. [ARXV|DOI]
  16. J. Angulo Pava, R. G. Plaza, Instability of static solutions of the sine-Gordon equation on a 𝒴𝒴-junction graph with δδ-interaction. J. Nonlinear Sci. 31 (2021), no. 3, art. 50, 1-32. [ARXV|DOI]
  17. R. Folino, R. G. Plaza, M. Strani, Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion. J. Math. Anal. Appl. 493 (2021), no. 1, 124455. [ARXV|DOI]
  18. R. Folino, C. A. Hernández Melo, L. F. López Ríos, R. G. Plaza, Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity. Z. Angew. Math. Phys. 71 (2020), no. 4, pp. 132 (1-25) [ARXV|DOI|PRE]
  19. F. Angeles, C. Málaga, R. G. Plaza, Strict dissipativity of Cattaneo-Christov systems for compressible fluid flow. J. Phys. A 53 (2020), no. 6, pp. 065701 [ARXV|DOI]
  20. J. F. Leyva, R. G. Plaza, Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations. J. Dyn. Diff. Equat. 32 (2020), no. 3, 1311-1342 [ARXV|DOI]
  21. D. Pera, C. Málaga, C. Simeoni, R. G. Plaza, On the efficient numerical simulation of heterogeneous anisotropic diffusion models of tumor invasion using GPUs. Rend. Mat. Appl. 40 (2019), no. 3-4, 233-255. [DOI|PRE]
  22. I. Padilla, R. G. Plaza, On the role of cancer cells' diffusion in the tumor growth paradox. Rend. Mat. Appl. 40 (2019), no. 3-4, 217-231. [ARXV|DOI|PRE]
  23. J. Angulo Pava, C. A. Hernández Melo, R. G. Plaza, Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity. J. Math. Phys. 60 (2019), no. 7, 071501 [ARXV|DOI]
  24. R. G. Plaza, Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity jump process. J. Math. Biol. 78 (2019), no. 6, 1681-1711. [ARXV|DOI]
  25. C. Lattanzio, C. Mascia, R. G. Plaza, C. Simeoni, Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation. Appl. Numer. Math. 141 (2019), 234-247. [ARXV|DOI|PRE]
  26. J. A. Butanda, C. Málaga, R. G. Plaza, On the stabilizing effect of chemotaxis on bacterial aggregation patterns. Appl. Math. Nonlinear Sci. 2 (2017), no. 1, 157-172. [DOI|PRE]
  27. J. Angulo Pava, R. G. Plaza, Transverse orbital stability of periodic traveling waves for nonlinear Klein-Gordon equations. Stud. Appl. Math. 137 (2016), no. 4, 473-501. [DOI|PRE]
  28. C. Lattanzio, C. Mascia, R. G. Plaza, C. Simeoni, Analytical and numerical investigation of traveling waves for an Allen-Cahn model with relaxation. Math. Models Methods Appl. Sci. 26 (2016), no. 5, pp. 931-985. [ARXV|DOI]
  29. C. K. R. T. Jones, R. Marangell, P. D. Miller, R. G. Plaza, Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. J. Differ. Equ. 257 (2014), no. 12, pp. 4632-4703. [ARXV|DOI]
  30. J. F. Leyva, C. Málaga, R. G. Plaza, The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion. Phys. A 392 (2013), no. 22, pp. 5644-5662. [ARXV|DOI]
  31. C. K. R. T. Jones, R. Marangell, P. D. Miller, R. G. Plaza, On the stability analysis of periodic sine-Gordon traveling waves. Phys. D 251 (2013), no. 1, pp. 63-74 [ARXV|DOI]
  32. C. Málaga, A. A. Minzoni, R. G. Plaza, C. Simeoni, A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations. Stud. Appl. Math. 130 (2013) no. 3, pp. 264-294. [ARXV|DOI|PDF]
  33. R. G. Plaza, Lp-decay rates for perturbations of degenerate scalar viscous shock waves. J. Math. Anal. Appl. 382 (2011), no. 2, pp. 864-882. [DOI|PDF|PRE]
  34. T. Nguyen, R. G. Plaza, K. Zumbrun, Stability of radiative shock profiles for hyperbolic-elliptic coupled systems. Phys. D 239 (2010), no. 8, pp. 428-453. [ARXV|DOI|PDF]
  35. C. Lattanzio, C. Mascia, T. Nguyen, R. G. Plaza, K. Zumbrun, Stability of scalar radiative shock profiles. SIAM J. Math. Anal. 41 (2009), no. 6, pp. 2165-2206. [ARXV|DOI|PDF]
  36. G. Flores, R. G. Plaza, Stability of post-fertilization traveling waves. J. Differ. Equ. 247 (2009), no. 5, pp. 1529-1590. [DOI|PDF]
  37. R. G. Plaza, Multidimensional stability of martensite twins under regular kinetics. J. Mech. Phys. Solids 56 (2008), no. 5, pp. 1989-2018. [DOI|PDF]
  38. R. G. Plaza, A Sobolev-type inequality with applications. J. Ineq. Pure Appl. Math 8 (2007), no. 1, art. 2, 13 pp. [DOI|PDF|PRE]
  39. H. Freistühler, R. G. Plaza, Normal modes and nonlinear stability behaviour of phase boundaries in elastic materials. Arch. Ration. Mech. Anal. 186 (2007), no. 1, pp. 1-24. [DOI|PDF]
  40. R. G. Plaza, P. Padilla, F. Sánchez-Garduño, R. A. Barrio, P. K. Maini, The effects of growth and curvature in pattern formation. J. Dyn. Diff. Equat. 16 (2004), no. 4, pp. 1093-1121. [DOI|PDF]
  41. R. G. Plaza, K. Zumbrun, An Evans function approach to spectral stability of small-amplitude shock profiles. Discr. Cont. Dyn. Syst. 10 (2004), no. 4, pp. 885-924. [ARXV|DOI|PDF]


Memorias de Congresos (Arbitradas)

  1. C. Lattanzio, C. Mascia, R. G. Plaza, C. Simeoni, Numerical computation of the wave speed for hyperbolic reaction-diffusion equations, in C. Parés et al. (eds.), Proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2022). June 20 - 24, 2022. Málaga, Spain. Hyperbolic Problems: Theory, Numerics, Applications, Volume II, SEMA SIMAI Springer Series 35. Springer-Verlag, 2024. [DOI]
  2. C. K. R. T. Jones, R. Marangell, P. D. Miller, R. G. Plaza, On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Proceedings of the XV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2014). July 28 - August 1, 2014. IMPA, Rio de Janeiro, Brazil. Bull. Brazilian Math. Soc., New Series 47 (2016), no. 2, pp. 417-429. [DOI|PRE]
  3. R. G. Plaza, On the stability of degenerate viscous shock profiles. In F. Ancona, A. Bressan, P. Marcati, A. Marson (eds.), Hyperbolic problems: Theory, Numerics, Applications. Proceedings of the 14th International Conference in Hyperbolic Problems (Padova 2012). AIMS Series on Applied Mathematics Vol. 8, American Institute of Mathematical Sciences, 2014, pp. 857-864.[PDF]
  4. H. Freistühler, R. G. Plaza, Normal modes analysis of subsonic phase boundaries in elastic materials. In S. Benzoni-Gavage, D. Serre (eds.), Hyperbolic problems: Theory, Numerics, Applications. Proceedings of the 11th International Conference in Hyperbolic Problems (Lyon 2006). Springer-Verlag, 2008, pp. 841-847. [DOI|PDF]


Libros y Notas de Clase

  1. R. G. Plaza, Introducción a la Biología Matemática. En preparación.
  2. A. Capella, R. G. Plaza, Ecuaciones Diferenciales Parciales. En preparación.
  3. R. G. Plaza, Sistemas Hiperbólicos de Leyes de Conservación. En preparación.


Tesis

  1. R. G. Plaza, On the stability of shock profiles, Ph.D. Thesis, New York University, New York, 2003.
  2. R. G. Plaza, Un problema con frontera libre para las ecuaciones de Navier-Stokes, Tesis de Licenciatura, Facultad de Ciencias, UNAM, México, 1996.