Papers in International Journals

• Nogueira, Pedro M.; Silvestre, Ana Leonor; Tiago, Jorge (2024)  Steady Navier–Stokes Equations with Regularized Directional Do-Nothing Boundary Condition: Optimal Boundary Control for a Velocity Tracking Problem . Applied Mathematics and Optimization: 10.1007/s00245-024-10216-4.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Silvestre, Ana Leonor (2022)  Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems . Advances in Computational Mathematics: 48(4), 44.

• Silvestre, Ana Leonor (2022)  The fundamental solution of the steady 2D generalized Oseen equations . Appl. Math. Letters: 124, 107613.

• Alves, Carlos J. S.; Serrão, Rodrigo G.; Silvestre, Ana Leonor (2021)  Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows . Appl. Numer. Math.: 170, 55-73.

• Elshehabey, Hillal M.; Silvestre, Ana Leonor (2021)  Weak solutions to stationary shear thinning fluids with nonhomogeneous Dirichlet boundary conditions . Nonlinear Anal. Theory Methods Appl.: 208, 11227.

• Silvestre, Ana Leonor (2020)  On the Oseen fundamental solution and asymptotic profile of exterior flows . J. Math. Fluid Mech.: 22, 1-19.

• Hishida, Toshiaki; Silvestre, Ana Leonor; Takahashi, Takéo (2020)  Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid . ESAIM Control Optim. Calc. Var.: 26, 92.

• Faria, Ricardo; Oliveira, Sérgio; Silvestre, Ana Leonor (2019)  A fluid-structure interaction model for dam-water systems: analytical study and application to seismic behavior . Advances in Mathematical Physics: Volume 2019, Article ID 8083906, 14 pages.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2018)  On the application of the method of fundamental solutions to nonlinear partial differential equations . Engineering Analysis with Boundary Elements: 92, 267-274.

• Hishida, T. ; Silvestre, Ana Leonor; Takahashi, T.  (2017)  A boundary control problem for the steady self- propelled motion of a rigid body in a Navier-Stokes fluid . Annales de l’Institut Henri Poincare (C) Non Linear Analysis: 34 (6), 1507-1541.

• Damázio, P.D.; Manholi, P.; Silvestre, Ana Leonor (2016)  L^q-theory of the Kelvin–Voigt equations in bounded domains . Journal of Differential Equations: 260(11), 8242-8260.

• Silvestre, Ana Leonor; Takahashi, Takeo (2014)  The Motion of a Fluid-Rigid Ball System at the Zero Limit of the Rigid Ball Radius . Archive for Rational Mechanics and Analysis: 211(3), 991-1012.

• Silvestre, Ana Leonor; Takahashi, Takéo (2012)  On the Motion of a Rigid Body with a Cavity Filled with a Viscous Liquid . Proceedings of the Royal Society of Edinburgh Section A-Mathematics: 142(2), 391-423.

• Silvestre, Ana Leonor (2012)  Existence and Uniqueness of Time-Periodic Solutions with Finite Kinetic Energy for the Navier-Stokes Equations in R^3 . Nonlinearity: 25(1), 37-55.

• Galdi, Giovanni P.; Silvestre, Ana Leonor (2009)  On the Motion of a Rigid Body in a Navier-Stokes Liquid Under the Action of a Time-Periodic Force . Indiana University Mathematics Journal: 58(6), 2805-2842.

• Alves, Carlos J. S.; Silvestre, Ana Leonor; Takahashi, Takeo; Tucsnak, Marius (2009)  Solving Inverse Source Problems Using Observability. Applications to the Euler-Bernoulli Plate Equation . SIAM Journal on Control and Optimization: 48(3), 1632-1659.

• Silvestre, Ana Leonor (2009)  Steady Solutions with Finite Kinetic Energy for a Perturbed Navier-Stokes System in R-3 . Journal of Differential Equations: 247(7), 2124-2139.

• Martins, Nuno F. M.; Silvestre, Ana Leonor (2008)  An Iterative MFS Approach for the Detection of Immersed Obstacles . Engineering Analysis with Boundary Elements: 32(6), 517-524.

• Alves, Carlos J. S.; Kress, Rainer; Silvestre, Ana Leonor (2007)  Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations . J. Inverse Ill-Posed Probl.: 15 (5), 461-481.

• Galdi, G. P.; Pileckas, K.; Silvestre, Ana Leonor (2007)  On the unsteady Poiseuille flow in a pipe . Z. Angew. Math. Phys.: 58(6), 994-1007.

• Galdi, Giovanni P.; Silvestre, Ana Leonor (2007)  The steady motion of a Navier-Stokes liquid around a rigid body . Arch. Rational Mech. Anal.: 3, 371-400.

• Galdi, G. P.; Silvestre, Ana Leonor (2006)  Existence of time-periodic solutions to the Navier-Stokes equations around a moving body . Pacific J. Math.: 223, 2251-267.

• Galdi, G.P.; Silvestre, Ana Leonor (2005)  Strong solutions to the Navier-Stokes equations around a rotating obstacle . Arch. Rational Mech. Anal.: 176(3), 331-350.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2004)  Density Results Using Stokeslets and a Method of Fundamental Solutions for the Stokes Equations . Engineering Analysis with Boundary Elements: 28(10), 1245-1252.

• Silvestre, Ana Leonor (2004)  On the existence of steady flows of a Navier-Stokes liquid around a moving rigid body . Math. Meth. Appl. Sc.: 27, 1399-1409.

• Alves, Carlos J. S.; Silvestre, Ana Leonor (2004)  On the Determination of Point-Forces on a Stokes System . Mathematics and Computers in Simulation: 66(4-5), 385-397.

• Silvestre, Ana Leonor (2002)  On the self-propelled motion of rigid body in a viscous liquid and on the attainability . J. Math. Fluid Mech.: 4, 285-326.

• Silvestre, Ana Leonor (2002)  On the slow motion of a self-propelled rigid body in a viscous incompressible fluid . J. Math. Anal. Appl.: 274, 203-227.

Papers or Chapters in Edited Books

• Silvestre, Ana Leonor (2007)  Further results on steady-state flow of a Navier-Stokes liquid around a rigid body. Existence of the wake. . RIMS Kôkyûroku Bessatsu: B1, 127-143.

• Silvestre, Ana Leonor (2002)  Strong solutions to the problem of motion of a rigid body in a Navier-Stokes liquid . Nonlinear problems in mathematical physics and related topics I (In honor of Professor O.A. Ladyzhenskaya): Springer US, 121-144.

Communications in Conference Proceedings

• Nogueira, Pedro M.; Silvestre, Ana Leonor (2024)  Navier-Stokes equations with regularized directional boundary condition . Da Veiga, H.B., et al. Nonlinear Differential Equations and Applications. PICNDEA 2022. CIM Series in Mathematical Sciences. Springer, Cham.

Edition of Books

• Sequeira, Adélia; Silvestre, Ana Leonor; Valtchev, Svilen S. ; Janela, João (2025)  Numerical Mathematics and Advanced Applications, ENUMATH 2023, Volume 2 . Springer series: Lecture Notes in Computational Science and Engineering, Vol. 154, Springer Cham, ISBN 978-3-031-86168-0.

• Sequeira, Adélia; Silvestre, Ana Leonor; Valtchev, Svilen S. ; Janela, João (2025)  Numerical Mathematics and Advanced Applications, ENUMATH 2023, Volume 1 . Springer series: Lecture Notes in Computational Science and Engineering, Vol. 153, Springer Cham, ISBN 978-3-031-86172-7.