Publicaciones (28) Publicaciones de CARLOTA MARIA CUESTA ROMERO

2023

  1. Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case

    Czechoslovak Mathematical Journal, Vol. 73, Núm. 4, pp. 1057-1080

2021

  1. A pseudospectral method for the one-dimensional fractional Laplacian on R

    Applied Mathematics and Computation, Vol. 389

2020

  1. Numerical approximation of the fractional Laplacian on R using orthogonal families

    Applied Numerical Mathematics, Vol. 158, pp. 164-193

  2. Vanishing viscosity limit of a conservation law regularised by a Riesz–Feller operator

    Monatshefte fur Mathematik, Vol. 192, Núm. 3, pp. 513-550

2018

  1. Self-similar lifting and persistent touch-down points in the thin-film equation

    SIAM Journal on Mathematical Analysis, Vol. 50, Núm. 2, pp. 1900-1917

2017

  1. Addendum to “Travelling waves for a non-local Korteweg–de Vries–Burgers equation” [J. Differential Equations 257 (3) (2014) 720–758]

    Journal of Differential Equations, Vol. 262, Núm. 2, pp. 1155-1160

2016

  1. A pseudo-spectral method for a non-local KdV-Burgers equation posed on R

    Journal of Computational Physics, Vol. 311, pp. 45-61

  2. Interfaces determined by capillarity and gravity in a two-dimensional porous medium

    Interfaces and Free Boundaries, Vol. 18, Núm. 3, pp. 355-391

2015

  1. A non-local KdV-Burgers equation: Numerical study of travelling waves

    Communications in Applied and Industrial Mathematics, Vol. 6, Núm. 2

2014

  1. Existence of solutions describing accumulation in a thin-film flow

    SIAM Journal on Applied Dynamical Systems, Vol. 13, Núm. 1, pp. 47-93

  2. Travelling waves for a non-local Korteweg-de Vries-Burgers equation

    Journal of Differential Equations, Vol. 257, Núm. 3, pp. 720-758

2013

  1. Fluid accumulation in thin-film flows driven by surface tension and gravity

    Applied Mathematics Letters, Vol. 26, Núm. 6, pp. 649-653

2012

  1. Analysis of oscillations in a drainage equation

    SIAM Journal on Mathematical Analysis, Vol. 44, Núm. 3, pp. 1588-1616

  2. Traveling waves of a kinetic transport model for the kpp-fisher equation

    SIAM Journal on Mathematical Analysis, Vol. 44, Núm. 6, pp. 4128-4146

2010

  1. Front propagation in a heterogeneous fisher equation: The homogeneous case is non-generic

    Quarterly Journal of Mechanics and Applied Mathematics, Vol. 63, Núm. 4, pp. 521-571

  2. Linear stability analysis of travelling waves for a pseudo-parabolic Burgers' equation

    Dynamics of Partial Differential Equations, Vol. 7, Núm. 1, pp. 77-105

  3. Long-time behaviour of a one-dimensional BGK model: Convergence to macroscopic rarefaction waves

    Monatshefte fur Mathematik, Vol. 160, Núm. 4, pp. 361-374

  4. Weak shocks of a BGK kinetic model for isentropic gas dynamics

    Kinetic and Related Models, Vol. 3, Núm. 2, pp. 255-279

2009

  1. Kinetic shock profiles for nonlinear hyperbolic conservation laws

    Rivista di Matematica della Università di Parma, Vol. 1, pp. 139-198

  2. Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour

    Journal of Computational and Applied Mathematics, Vol. 224, Núm. 1, pp. 269-283