(updated - July 2024)
Books/Book Chapters
(with I. Lasiecka),
Flutter Stabilization For An Unstable, Hyperbolic Flow-Plate Interaction
In: Fluids under Control, Brikhauser; 2024.
(with B. Kaltenbacher, I. Kukavica, I. Lasiecka, R. Triggiani, and A. Tuffaha),
Mathematical Theory of Flow/Fluid-Structure Interactions
In: Oberwolfach Seminars, Springer; 2018.
Special Volumes Edited
(with I. Lasiecka and R. Triggiani), Research in the Mathematical Sciences
Special volume on PDE-Control, to appear in 2024.
(with M. Disconzi and D. Toundykov), Evolution Equations and Control Theory
Special volume on fluid-structure interactions, Volume 5, 4, 2016,
(SIAM Conference on Analysis of PDEs 2015).
Peer-reviewed Articles
(with I. Benson) Analysis of a nonlinear fish-bone model for suspension bridges
with General Forcing, to be submitted 9/2024.
(with A. Falocchi) Resonance and Periodic Solutions for Harmonic Oscillators,
submitted 7/2024.
(with V. Pata) An Observation About Weak Solutions
of Linear Differential Equations in Hilbert Spaces, under revision as of 5/2024.
(with G. Avalos and E. Gurvich) Weak and Strong Solutions for
a Fluid-Poroelastic-Structure Interaction via a Semigroup Approach, provisionally accepted as of 6/2024.
(K. Hoffman, T. Williams, J.T. Webster, J. Harrison, K. Nanes) Assessing the Impact
of A Interventional Proof-Writing Course, under revision as of 5/2024.
(with L. Bociu and B. Muha) The Mathematical Effects of Visco-elasticity in Quasi-static Biot Models
J. Mathematical Analysis and Applications accepted 2023.
(with A. Balakrishna and I. Lasiecka) Strong Stabilization of a 3D Potential Flow via a
Weakly Damped von Karman Plate, Mathematical Models and Methods in Applied Sciences,
Volume 33 (3), 2023.
(with L. Bociu and B. Muha) Weak Solutions in Nonlinear Poroelasticity with Incompressible Constituents
Nonlinear Analysis Real World Applications Volume 67, Oct. 2022.
(with M. Deliyianni, E. Dowell, and K. McHugh) Dynamic Equations of Motion
for Inextensible Beams and Plates, Archive of Applied Mechanics, 92(6), 2022, pp.1 929--1952.
(with D. Bonheure, F. Gazzola, and I. Lasiecka) Long-time dynamics of a hinged-free plate driven by a
non-conservative force., Annales de l’Institut Henri Poincare, Analy. NonLin, 39 (2), 2022, pp. 457--500.
(with M. Deliyianni) Theory of solutions for an inextensible cantilever.
Applied Mathematics and Optimization, published online 2021.
(with E. Gurvich) Weak Solutions for a Poro-elastic Plate System,
Applicable Analysis 101 (5), 2021, pp. 1617--1636.
(with L. Bociu) Nonlinear quasi-static poroelasticity. J. Differential Equations,
296 (25), 2021, pp. 242-–278.
(with L. Bociu, S. Canic, and B. Muha) Multilayered poroelasticity interacting with Stokes flow.
SIAM J. Mathematical Analysis, 53 (6), 2021, 6243--6279.
(with M. Deliyianni, V. Gudibanda, and J. Howell) Large deflections of inextensible beams:
modeling, theory, and simulation, Math. Model. Nat. Phenom., 15, (44), 2020.
(with A. Balakrishna) Large Deflections of A Structurally Damped Panel in A Subsonic Flow,
Nonlinear Dynamics, 103, 2021, 3165--3186.
Attractors and determining modes for a panel flutter model: Finite dimensionality out of thin air,
Pure and Appl. Funct. Analy. , 5 (1), 2020, pp. 85--119.
(with K. Huneycutt, J. Howell, and S. Wilder) (In)stability of thin beams in a potential flow, Math. in Engin.,
1 (3), 2019, pp. 614-–647.
(with G. Avalos and P. G. Geredeli) A linearized viscous, compressible flow-plate interaction with
non-dissipative coupling, J. Mathem. Analy. Appl., Volume 477, 1, 2019, pp. 334--356.
(with J. Howell and D. Toundykov) A Cantilevered Extensible Beam in Axial Flow: Semigroup Solutions and
Post-flutter Regimes, SIAM J. Mathem. Analys., Volume 50, 2, 2018, pp. 2048–2085.
(with G. Avalos and P. G. Geredeli) Semigroup Well-posedness of A Linearized, Compressible Fluid with
An Elastic Boundary, Discrete Contin. Dyn. Syst. Ser. B, Volume 23, 3, 2018, pp.1267--1295.
(with J. Howell and I. Lasiecka) Quasi-stability and Exponential Attractors for A Non-Gradient
System---Applications to Piston-Theoretic Plates with Internal Damping, Evolution Equns. Control Theory,
Volume 5, 4, 2016, pp. 567--603.
(with G. Avalos and P.G. Geredeli) Finite Dimensional, Smooth Attractors for A Non-rotational Berger Plate
with Dissipation Acting on A Portion of the Boundary, Comm. Pure Appl. Analy.,
Volume 15, 6, 2016, pp. 2301--2328.
(with E. Dowell, I. Chueshov, and I. Lasiecka) Mathematical Aeroelasticity: A Survey,
Mathem. Engin. Sci. Aerosp., Volume 7, 2016, pp. 1--26.
(with E. Dowell, I. Chueshov, and I. Lasiecka) Nonlinear elastic plate in a flow of gas:
Recent results and conjectures, Appl. Math. Optim., Volume 73, 2016, pp. 475--500.
(with L. Bociu, G. Guidoboni, R. Sacco) Analysis of nonlinear poro-elastic and poro-visco-elastic models,
Arch. Rational Mech. Anal., Volume 222, 3, pp. 1445--1519.
(with P. G. Geredeli) Qualitative Results on the Dynamics of A Berger Plate with
Nonlinear Boundary Damping, Nonlin. Anal. B, 31, 2016, pp. 227--256.
(with I. Lasiecka) Feedback stabilization of a fluttering panel in an inviscid
subsonic potential flow, SIAM J. Math. Anal., 48, 3, 2016, pp. 1848--1891.
(with M. Peszynska and R.E. Showalter) Advection of methane in the hydrate zone:
Model, analysis, and examples, Math. Meth. Appl. Sci., Volume 38, 18, 2015, pp. 4613--4629.
(with I. Lasiecka) Eliminating flutter in clamped von Karman plates
immersed in subsonic flows, Comm. Pure Appl. Anal., Volume 13, 5, 2014, pp. 1935--1969.
(with I. Lasiecka) Kutta-Joukowski flow conditions in flow-plate interactions: subsonic case,
Nonlinear Anal. B, Volume 7, 2014, pp. 171--191.
(with I. Chueshov and I. Lasiecka) Flow-plate interactions: Well-posedness and long-time behavior,
Discrete Contin. Dyn. Syst. Ser. S, Spec. Vol.: New Developments in Mathematical Theory of Fluid Mech. ,
Volume 7, 5, 2014, pp. 925--965.
(with P. G. Geredeli) Decay rates to equilibrium for nonlinear plate equations with geometrically constrained,
degenerate dissipation, Appl. Math. Optim. , Volume 68, 2013, pp. 361--390.
(with I. Chueshov and I. Lasiecka) Attractors for delayed, non-rotational von Karman plates
with applications to flow-structure interactions without any damping,
Comm. PDE Volume 39, 11, 2014.
(with I. Chueshov and I. Lasiecka) Evolution semigroups in supersonic flow-plate interactions,
J. Diff. Equns. Volume 254, Issue 4, 2013, pp. 1741--1773.
(with P. G. Geredeli and I. Lasiecka) Smooth attractors of finite dimension for von Karman evolutions
with nonlinear frictional damping localized in a boundary layer,
J. Diff. Equns. Volume 254, Issue 3, 2013, pp. 1193--1229.
(with I. Lasiecka) Generation of bounded semigroups in nonlinear subsonic flow-structure interactions
with boundary dissipation, Math. Meth. Appl. Sci., Volume 36, 2013, pp. 1995--2010.
Weak and strong solutions of a nonlinear subsonic flow-structure interaction: Semigroup approach,
Nonlinear Anal. A, Volume 74, Issue 10, July 2011, pp. 3123--3136.
(with D. P. Sheehan and L. M. Baird) Orthogonally-oriented nanotube arrays: Experiment I,
J. Nanosci. Nanontech., Volume 7, Issue 10, 2007, pp. 3653--3661.
Proceedings and Surveys
(with I. Lasiecka and I. Chueshov) Nonlinear Flow-Structure Interaction: A Survey,
Nonlinear World Journal of Inter-disciplinary Nature, 1(1), December 2017, pp. 31–-50.
(with I. Lasiecka) Stabilization of a nonlinear flow-plate interaction via component-wise decomposition,
XV International Conference on Hyperbolic Problems: Theory, Numerics, Applications, July 2014,
IMPA, Rio de Janeiro, Brazil, Bull. Braz. Math. Soc., New Series 47(2), 2016, pp. 489--506.(peer-reviewed)
(with I. Lasiecka) Controlling Flutter for Nonlinear Panels in Subsonic Flows via
Nonlinear Mechanical Feedback, IEEE 53rd Conference on Decision and Control,
Session on Control of First and Second Order PDEs, 2014, pp. 577--582.(peer-reviewed)
(with I. Lasiecka) Long-time dynamics and control of subsonic flow-structure interactions,
American Control Conference (ACC), 2012, pp. 658--663, 27-29 June 2012. (peer-reviewed)