Works (35)

2020 journal article

Minimizing drag in a moving boundary fluid-elasticity interaction

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 197.

By: L. Bociu, L. Castle, I. Lasiecka & A. Tuffaha

Sources: Web Of Science, ORCID
Added: June 22, 2020

2019 journal article

LOCAL SENSITIVITY VIA THE COMPLEX-STEP DERIVATIVE APPROXIMATION FOR 1D PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS

MATHEMATICAL CONTROL AND RELATED FIELDS, 9(4), 623–642.

By: H. Banks, K. Bekele-Maxwell, L. Bociu, M. Noorman & G. Guidiboni

Sources: Web Of Science, ORCID
Added: December 2, 2019

2019 journal article

On the role of compressibility in poroviscoelastic models

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(5), 6167–6208.

By: L. Bociu, G. Guidoboni, R. Sacco & M. Verri

Sources: Web Of Science, ORCID
Added: August 26, 2019

2019 journal article

PORO-VISCO-ELASTIC MODELS IN BIOMECHANICS: SENSITIVITY ANALYSIS

Communications in Applied Analysis.

Source: ORCID
Added: September 18, 2020

2018 journal article

Feedback stabilization of a linear hydro-elastic system

Discrete and Continuous Dynamical Systems-Series B, 23(3), 1107–1132.

By: L. Bociu, S. Derochers & D. Toundykov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

THE ROLE OF STRUCTURAL VISCOELASTICITY IN DEFORMABLE POROUS MEDIA WITH INCOMPRESSIBLE CONSTITUENTS: APPLICATIONS IN BIOMECHANICS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 933–959.

By: M. Verri, G. Guidoboni, L. Bociu & R. Sacco

Sources: NC State University Libraries, ORCID
Added: October 29, 2018

2017 journal article

Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data

Quarterly of Applied Mathematics, 75(4), 697–735.

By: H. Banks, K. Bekele-Maxwell, L. Bociu, M. Noorman & G. Guidoboni

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

Sensitivity via the complex-step method for delay differential equations with non-smooth initial data

Quarterly of Applied Mathematics, 75(2), 231–248.

By: H. Banks, K. Bekele-Maxwell, L. Bociu & C. Wang

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 journal article

Analysis of Nonlinear Poro-Elastic and Poro-Visco-Elastic Models

Archive for Rational Mechanics and Analysis, 222(3), 1445–1519.

By: L. Bociu, G. Guidoboni, R. Sacco & J. Webster

Sources: NC State University Libraries, Crossref, ORCID
Added: August 6, 2018

2016 journal article

Free Boundary Fluid-Elasticity Interactions: Adjoint Sensitivity Analysis

New Trends in Differential Equations, Control Theory and Optimization.

Source: ORCID
Added: September 18, 2020

2016 conference paper

Free boundary fluid-elasticity interactions: Adjoint sensitivity analysis

New Trends in Differential Equations, Control Theory and Optimization. Presented at the 8th Congress of Romanian Mathematicians.

By: L. Bociu & K. Martin

Event: 8th Congress of Romanian Mathematicians

Sources: Crossref, ORCID
Added: July 20, 2019

2016 journal article

Hyperbolic Equations with Mixed Boundary Conditions: Shape Differentiability Analysis

Applied Mathematics & Optimization, 76(2), 375–398.

By: L. Bociu & J. Zolésio

Sources: Crossref, ORCID
Added: July 28, 2019

2016 journal article

Linearized hydro-elasticity: a numerical study

Evolution Equations and Control Theory, 5(4), 533–559.

By: L. Bociu, S. Derochers & D. Toundykov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 journal article

A pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditions

Journal of Differential Equations, 259(11), 5688–5708.

By: L. Bociu & J. Zolesio

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2015 conference paper

Optimal control in a free boundary fluid-elasticity interaction

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain). Presented at the The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain).

By: D. Toundykov, K. Martin, L. Castle & L. Bociu

Event: The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain)

Sources: Crossref, ORCID
Added: July 28, 2019

2015 journal article

The complex-step method for sensitivity analysis of non-smooth problems arising in biology

Eurasian Journal of Mathematical and Computer Applications, 3(3), 16–68.

By: L. Bociu, H. Banks, K. Bekele-Maxwell, M. Noorman & K. Tillman

Source: NC State University Libraries
Added: July 28, 2019

2015 journal article

Well-posedness analysis for a linearization of a fluid-elasticity interaction

SIAM Journal on Mathematical Analysis, 47(3), 1958–2000.

By: L. Bociu, D. Toundykov & J. Zolesio

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

Corrigendum to “Attractors for non-dissipative irrotational von Karman plates with boundary damping” [J. Differential Equations 253 (12) (2012) 3568–3609]

Journal of Differential Equations, 256(2), 893.

By: L. Bociu & D. Toundykov

Sources: Crossref, ORCID
Added: August 28, 2020

2014 journal article

Errata: Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping

Evolution Equations and Control Theory, 3(2), 349–354.

By: L. Bociu, P. Radu & D. Toundykov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 journal article

Sensitivity analysis for a free boundary fluid-elasticity interaction

Evolution Equations and Control Theory, 2(1), 55–79.

By: L. Bociu & J. Zolésio

Sources: Crossref, ORCID
Added: July 20, 2019

2013 chapter

Strong Shape Derivative for the Wave Equation with Neumann Boundary Condition

In IFIP Advances in Information and Communication Technology (pp. 445–460).

By: J. Zolésio & L. Bociu

Sources: Crossref, ORCID
Added: July 20, 2019

2013 journal article

Strong shape derivative for the wave equation with Neumann boundary condition

D. Homberg and F. Troltzsch (Eds.): CSMO 2011, IFIP AICT 391, International Federation for Information Processing .

Source: ORCID
Added: September 18, 2020

2013 journal article

Wave equations with nonlinear sources and damping: weak vs. regular solutions

Palestine Journal of Mathematics, 2(2), 175–186.

By: L. Bociu & D. Toundykov

Source: NC State University Libraries
Added: July 10, 2019

2012 journal article

Attractors for non-dissipative irrotational von Karman plates with boundary damping

Journal of Differential Equations, 253(12), 3568–3609.

By: L. Bociu & D. Toundykov

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

Wave equations with super-critical interior and boundary nonlinearities

Mathematics and Computers in Simulation, 82(6), 1017–1029.

By: L. Bociu, M. Rammaha & D. Toundykov

Sources: Crossref, ORCID
Added: July 20, 2019

2011 chapter

Linearization of a Coupled System of Nonlinear Elasticity and Viscous Fluid

In Modern Aspects of the Theory of Partial Differential Equations (pp. 93–120).

By: L. Bociu & J. Zolésio

Sources: Crossref, ORCID
Added: July 20, 2019

2011 journal article

On a wave equation with supercritical interior and boundary sources and damping terms

Mathematische Nachrichten, 284(16), 2032–2064.

By: L. Bociu, M. Rammaha & D. Toundykov

Sources: Crossref, ORCID
Added: July 20, 2019

2010 journal article

Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping

Journal of Differential Equations, 249(3), 654–683.

By: L. Bociu & I. Lasiecka

Sources: Crossref, ORCID
Added: July 20, 2019

2009 journal article

Existence and Uniqueness of Weak Solutions to the Cauchy Problem of a Semilinear Wave Equation with Supercritical Interior Source and Damping

Dynamical Systems and Differential Equations - S .

Source: ORCID
Added: September 18, 2020

2009 journal article

Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping

Nonlinear Analysis: Theory, Methods & Applications, 71(12), e560–e575.

By: L. Bociu

Sources: Crossref, ORCID
Added: July 20, 2019

2008 journal article

Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping

Applicationes Mathematicae, 35(3), 281–304.

By: L. Bociu & I. Lasiecka

Sources: Crossref, ORCID
Added: July 28, 2019

2008 thesis

Existence, Uniqueness, and Blow-up of Solutions to Wave Equations with Supercritical Boundary/interior Sources and Damping

Source: ORCID
Added: September 18, 2020

2008 journal article

Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping

Discrete and Continuous Dynamical Systems, 22(4), 835–860.

By: I. Lasiecka & L. Bociu

Sources: Crossref, ORCID
Added: July 28, 2019

2006 conference paper

Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping

Proceedings of the Conference on Differential and Difference Equations and Applications, 635–643. Hindawi Publishing Corporation.

By: L. Bociu & I. Lasiecka

Source: NC State University Libraries
Added: July 28, 2019

2006 journal article

Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping

Proceedings of the Conference on Differential and Difference Equations and Applications.

Source: ORCID
Added: September 18, 2020

Employment

2011 - present

NC State University Raleigh, US
Associate Professor Mathematics

Education

2002 - 2008

University of Virginia Charlottesville, VA, US
Ph.D. Mathematics