@article{bociu_canic_muha_webster_2021, title={MULTILAYERED POROELASTICITY INTERACTING WITH STOKES FLOW}, volume={53}, DOI={10.1137/20M1382520}, number={6}, journal={SIAM JOURNAL ON MATHEMATICAL ANALYSIS}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Bociu, Lorena and Canic, Suncica and Muha, Boris and Webster, Justin T.}, year={2021}, pages={6243–6279} } @article{bociu_webster_2021, title={Nonlinear quasi-static poroelasticity & nbsp;}, volume={9}, DOI={10.1016/j.jde.2021.05.060}, journal={JOURNAL OF DIFFERENTIAL EQUATIONS}, author={Bociu, Lorena and Webster, Justin T.}, year={2021}, month={Sep} } @article{bociu_strikwerda_2021, title={Optimal control in poroelasticity}, volume={11}, DOI={10.1080/00036811.2021.2008372}, journal={APPLICABLE ANALYSIS}, author={Bociu, Lorena and Strikwerda, Sarah}, year={2021}, month={Nov} } @article{bociu_castle_lasiecka_tuffaha_2020, title={Minimizing drag in a moving boundary fluid-elasticity interaction}, volume={197}, ISBN={1873-5215}, DOI={10.1016/j.na.2020.111837}, journal={NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, author={Bociu, L. and Castle, L. and Lasiecka, I and Tuffaha, A.}, year={2020}, month={Aug} } @article{banks_bekele-maxwell_bociu_noorman_guidiboni_2019, title={LOCAL SENSITIVITY VIA THE COMPLEX-STEP DERIVATIVE APPROXIMATION FOR 1D PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS}, volume={9}, ISBN={2156-8499}, DOI={10.3934/mcrf.2019044}, number={4}, journal={MATHEMATICAL CONTROL AND RELATED FIELDS}, author={Banks, H. Thomas and Bekele-Maxwell, Kidist and Bociu, Lorena and Noorman, Marcelle and Guidiboni, Giovanna}, year={2019}, month={Dec}, pages={623–642} } @article{bociu_guidoboni_sacco_verri_2019, title={On the role of compressibility in poroviscoelastic models}, volume={16}, ISBN={1551-0018}, DOI={10.3934/mbe.2019308}, number={5}, journal={MATHEMATICAL BIOSCIENCES AND ENGINEERING}, author={Bociu, Lorena and Guidoboni, Giovanna and Sacco, Riccardo and Verri, Maurizio}, year={2019}, pages={6167–6208} } @article{poro-visco-elastic models in biomechanics: sensitivity analysis_2019, DOI={10.12732/caa.v23i1.5}, journal={Communications in Applied Analysis}, year={2019} } @article{bociu_derochers_toundykov_2018, title={Feedback stabilization of a linear hydro-elastic system}, volume={23}, DOI={10.3934/dcdsb.2018144}, number={3}, journal={Discrete and Continuous Dynamical Systems-Series B}, author={Bociu, Lorena and Derochers, S. and Toundykov, D.}, year={2018}, pages={1107–1132} } @article{verri_guidoboni_bociu_sacco_2018, title={THE ROLE OF STRUCTURAL VISCOELASTICITY IN DEFORMABLE POROUS MEDIA WITH INCOMPRESSIBLE CONSTITUENTS: APPLICATIONS IN BIOMECHANICS}, volume={15}, DOI={10.3934/mbe.2018042}, number={4}, journal={MATHEMATICAL BIOSCIENCES AND ENGINEERING}, author={Verri, Maurizio and Guidoboni, Giovanna and Bociu, Lorena and Sacco, Riccardo}, year={2018}, pages={933–959} } @article{banks_bekele-maxwell_bociu_noorman_guidoboni_2017, title={Sensitivity analysis in poro-elastic and poro-visco-elastic models with respect to boundary data}, volume={75}, DOI={10.1090/qam/1475}, number={4}, journal={Quarterly of Applied Mathematics}, author={Banks, H. T. and Bekele-Maxwell, K. and Bociu, Lorena and Noorman, M. and Guidoboni, G.}, year={2017}, pages={697–735} } @article{banks_bekele-maxwell_bociu_wang_2017, title={Sensitivity via the complex-step method for delay differential equations with non-smooth initial data}, volume={75}, DOI={10.1090/qam/1458}, number={2}, journal={Quarterly of Applied Mathematics}, author={Banks, H. T. and Bekele-Maxwell, K. and Bociu, Lorena and Wang, C. Y.}, year={2017}, pages={231–248} } @article{bociu_guidoboni_sacco_webster_2016, title={Analysis of Nonlinear Poro-Elastic and Poro-Visco-Elastic Models}, volume={222}, ISSN={0003-9527 1432-0673}, url={http://dx.doi.org/10.1007/s00205-016-1024-9}, DOI={10.1007/s00205-016-1024-9}, number={3}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Nature}, author={Bociu, Lorena and Guidoboni, Giovanna and Sacco, Riccardo and Webster, Justin T.}, year={2016}, month={Jul}, pages={1445–1519} } @article{free boundary fluid-elasticity interactions: adjoint sensitivity analysis_2016, journal={New Trends in Differential Equations, Control Theory and Optimization}, year={2016} } @inproceedings{bociu_martin_2016, title={Free boundary fluid-elasticity interactions: Adjoint sensitivity analysis}, ISBN={9789813142855 9789813142862}, url={http://dx.doi.org/10.1142/9789813142862_0002}, DOI={10.1142/9789813142862_0002}, booktitle={New Trends in Differential Equations, Control Theory and Optimization}, publisher={WORLD SCIENTIFIC}, author={Bociu, Lorena and Martin, Kristina}, year={2016}, month={Jun} } @article{bociu_zolésio_2016, title={Hyperbolic Equations with Mixed Boundary Conditions: Shape Differentiability Analysis}, volume={76}, ISSN={0095-4616 1432-0606}, url={http://dx.doi.org/10.1007/s00245-016-9354-4}, DOI={10.1007/s00245-016-9354-4}, number={2}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Bociu, Lorena and Zolésio, Jean-Paul}, year={2016}, month={Apr}, pages={375–398} } @article{bociu_derochers_toundykov_2016, title={Linearized hydro-elasticity: a numerical study}, volume={5}, DOI={10.3934/eect.2016018}, number={4}, journal={Evolution Equations and Control Theory}, author={Bociu, Lorena and Derochers, S. and Toundykov, D.}, year={2016}, pages={533–559} } @article{bociu_zolesio_2015, title={A pseudo-extractor approach to hidden boundary regularity for the wave equation with mixed boundary conditions}, volume={259}, DOI={10.1016/j.jde.2015.07.006}, number={11}, journal={Journal of Differential Equations}, author={Bociu, Lorena and Zolesio, J. P.}, year={2015}, pages={5688–5708} } @inproceedings{toundykov_martin_castle_bociu_2015, title={Optimal control in a free boundary fluid-elasticity interaction}, ISBN={1601330189}, url={http://dx.doi.org/10.3934/proc.2015.0122}, DOI={10.3934/proc.2015.0122}, booktitle={Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain)}, publisher={American Institute of Mathematical Sciences}, author={Toundykov, Daniel and Martin, Kristina and Castle, Lucas and Bociu, Lorena}, year={2015}, month={Nov} } @article{bociu_banks_bekele-maxwell_noorman_tillman_2015, title={The complex-step method for sensitivity analysis of non-smooth problems arising in biology}, volume={3}, ISSN={2306-6172}, number={3}, journal={Eurasian Journal of Mathematical and Computer Applications}, author={Bociu, Lorena and Banks, H.T. and Bekele-Maxwell, K. and Noorman, M. and Tillman, K.}, year={2015}, pages={16–68} } @article{bociu_toundykov_zolesio_2015, title={Well-posedness analysis for a linearization of a fluid-elasticity interaction}, volume={47}, DOI={10.1137/140970689}, number={3}, journal={SIAM Journal on Mathematical Analysis}, author={Bociu, Lorena and Toundykov, D. and Zolesio, J. P.}, year={2015}, pages={1958–2000} } @article{bociu_toundykov_2014, title={Corrigendum to “Attractors for non-dissipative irrotational von Karman plates with boundary damping” [J. Differential Equations 253 (12) (2012) 3568–3609]}, volume={256}, ISSN={0022-0396}, url={http://dx.doi.org/10.1016/J.JDE.2013.10.007}, DOI={10.1016/J.JDE.2013.10.007}, number={2}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Bociu, Lorena and Toundykov, Daniel}, year={2014}, month={Jan}, pages={893} } @article{bociu_radu_toundykov_2014, title={Errata: Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping}, volume={3}, DOI={10.3934/eect.2014.3.349}, number={2}, journal={Evolution Equations and Control Theory}, author={Bociu, Lorena and Radu, P. and Toundykov, D.}, year={2014}, pages={349–354} } @article{bociu_zolésio_2013, title={Sensitivity analysis for a free boundary fluid-elasticity interaction}, volume={2}, ISSN={2163-2480}, url={http://dx.doi.org/10.3934/eect.2013.2.55}, DOI={10.3934/eect.2013.2.55}, number={1}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Bociu, Lorena and Zolésio, Jean-Paul}, year={2013}, month={Jan}, pages={55–79} } @inbook{zolésio_bociu_2013, title={Strong Shape Derivative for the Wave Equation with Neumann Boundary Condition}, ISBN={9783642360619 9783642360626}, ISSN={1868-4238 1861-2288}, url={http://dx.doi.org/10.1007/978-3-642-36062-6_45}, DOI={10.1007/978-3-642-36062-6_45}, booktitle={IFIP Advances in Information and Communication Technology}, publisher={Springer Berlin Heidelberg}, author={Zolésio, Jean-Paul and Bociu, Lorena}, year={2013}, pages={445–460} } @article{strong shape derivative for the wave equation with neumann boundary condition_2013, journal={D. Homberg and F. Troltzsch (Eds.): CSMO 2011, IFIP AICT 391, International Federation for Information Processing}, year={2013} } @article{bociu_toundykov_2013, title={Wave equations with nonlinear sources and damping: weak vs. regular solutions}, volume={2}, number={2}, journal={Palestine Journal of Mathematics}, author={Bociu, Lorena and Toundykov, D.}, year={2013}, pages={175–186} } @article{bociu_toundykov_2012, title={Attractors for non-dissipative irrotational von Karman plates with boundary damping}, volume={253}, DOI={10.1016/j.jde.2012.08.004}, number={12}, journal={Journal of Differential Equations}, author={Bociu, Lorena and Toundykov, D.}, year={2012}, pages={3568–3609} } @article{bociu_rammaha_toundykov_2012, title={Wave equations with super-critical interior and boundary nonlinearities}, volume={82}, ISSN={0378-4754}, url={http://dx.doi.org/10.1016/j.matcom.2011.04.006}, DOI={10.1016/j.matcom.2011.04.006}, number={6}, journal={Mathematics and Computers in Simulation}, publisher={Elsevier BV}, author={Bociu, Lorena and Rammaha, Mohammad and Toundykov, Daniel}, year={2012}, month={Feb}, pages={1017–1029} } @inbook{bociu_zolésio_2011, title={Existence for the linearization of a steady state fluid/nonlinear elasticity interaction}, ISBN={1601330111}, url={http://dx.doi.org/10.3934/proc.2011.2011.184}, DOI={10.3934/proc.2011.2011.184}, booktitle={Discrete and Continuous Dynamical Systems}, publisher={AIMS Press}, author={Bociu, Lorena and Zolésio, Jean-Paul}, year={2011}, pages={184–197} } @inbook{bociu_zolésio_2011, title={Linearization of a Coupled System of Nonlinear Elasticity and Viscous Fluid}, ISBN={9783034800686 9783034800693}, url={http://dx.doi.org/10.1007/978-3-0348-0069-3_6}, DOI={10.1007/978-3-0348-0069-3_6}, booktitle={Modern Aspects of the Theory of Partial Differential Equations}, publisher={Springer Basel}, author={Bociu, Lorena and Zolésio, Jean-Paul}, year={2011}, pages={93–120} } @article{bociu_rammaha_toundykov_2011, title={On a wave equation with supercritical interior and boundary sources and damping terms}, volume={284}, ISSN={0025-584X}, url={http://dx.doi.org/10.1002/mana.200910182}, DOI={10.1002/mana.200910182}, number={16}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Bociu, Lorena and Rammaha, Mohammad and Toundykov, Daniel}, year={2011}, month={Aug}, pages={2032–2064} } @article{bociu_lasiecka_2010, title={Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping}, volume={249}, ISSN={0022-0396}, url={http://dx.doi.org/10.1016/j.jde.2010.03.009}, DOI={10.1016/j.jde.2010.03.009}, number={3}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Bociu, Lorena and Lasiecka, Irena}, year={2010}, month={Aug}, pages={654–683} } @article{existence and uniqueness of weak solutions to the cauchy problem of a semilinear wave equation with supercritical interior source and damping_2009, journal={Dynamical Systems and Differential Equations - S}, year={2009} } @inbook{bociu_radu_2009, title={Existence of weak solutions to the Cauchy problem of a semilinear wave equation with supercritical interior source and damping}, ISBN={1601330073}, url={http://dx.doi.org/10.3934/proc.2009.2009.60}, DOI={10.3934/proc.2009.2009.60}, booktitle={Dynamical Systems and Differential Equations}, publisher={AIMS Press}, author={Bociu, Lorena and Radu, P.}, year={2009}, pages={60–71} } @article{bociu_2009, title={Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping}, volume={71}, ISSN={0362-546X}, url={http://dx.doi.org/10.1016/j.na.2008.11.062}, DOI={10.1016/j.na.2008.11.062}, number={12}, journal={Nonlinear Analysis: Theory, Methods & Applications}, publisher={Elsevier BV}, author={Bociu, Lorena}, year={2009}, month={Dec}, pages={e560–e575} } @article{bociu_lasiecka_2008, title={Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping}, volume={35}, ISSN={1233-7234 1730-6280}, url={http://dx.doi.org/10.4064/am35-3-3}, DOI={10.4064/am35-3-3}, number={3}, journal={Applicationes Mathematicae}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Bociu, Lorena and Lasiecka, Irena}, year={2008}, pages={281–304} } @phdthesis{existence, uniqueness, and blow-up of solutions to wave equations with supercritical boundary/interior sources and damping_2008, year={2008} } @article{lasiecka_bociu_2008, title={Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping}, volume={22}, ISSN={1078-0947}, url={http://dx.doi.org/10.3934/dcds.2008.22.835}, DOI={10.3934/dcds.2008.22.835}, number={4}, journal={Discrete and Continuous Dynamical Systems}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Lasiecka, Irena and Bociu, Lorena}, year={2008}, month={Sep}, pages={835–860} } @inproceedings{bociu_lasiecka_2006, title={Wellposedness and Blow-up of Solutions to Wave Equations with Supercritical Boundary Sources and Boundary Damping}, booktitle={Proceedings of the Conference on Differential and Difference Equations and Applications}, publisher={Hindawi Publishing Corporation}, author={Bociu, Lorena and Lasiecka, I.}, year={2006}, pages={635–643} } @article{wellposedness and blow-up of solutions to wave equations with supercritical boundary sources and boundary damping_2006, journal={Proceedings of the Conference on Differential and Difference Equations and Applications}, year={2006} } @article{multilayered poroelasticity interacting with stokes flow, journal={SIAM Journal on Mathematical Analysis} }