Lasiecka, Irena; Triggiani, Roberto Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon. (English) Zbl 1492.49035 J. Optim. Theory Appl. 193, No. 1-3, 831-855 (2022). MSC: 49N35 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, J. Optim. Theory Appl. 193, No. 1--3, 831--855 (2022; Zbl 1492.49035) Full Text: DOI
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory. (English) Zbl 1509.35186 J. Inverse Ill-Posed Probl. 30, No. 1, 35-79 (2022). MSC: 35Q30 35Q79 35K05 80A19 35R30 35B65 35A01 35A02 93C20 93D15 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., J. Inverse Ill-Posed Probl. 30, No. 1, 35--79 (2022; Zbl 1509.35186) Full Text: DOI arXiv
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics. (English) Zbl 1480.35028 J. Evol. Equ. 21, No. 3, 3553-3584 (2021). MSC: 35B40 35G31 35Q35 76Q05 PDFBibTeX XMLCite \textit{M. Bongarti} et al., J. Evol. Equ. 21, No. 3, 3553--3584 (2021; Zbl 1480.35028) Full Text: DOI arXiv
Lasiecka, Irena; Rodrigues, José H. Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback. (English) Zbl 1470.35041 J. Differ. Equations 298, 387-429 (2021). MSC: 35B30 35L35 35L76 74K20 47D06 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{J. H. Rodrigues}, J. Differ. Equations 298, 387--429 (2021; Zbl 1470.35041) Full Text: DOI
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems. (English) Zbl 1470.35214 J. Differ. Equations 294, 60-87 (2021). MSC: 35K90 35B65 35Q35 93B52 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., J. Differ. Equations 294, 60--87 (2021; Zbl 1470.35214) Full Text: DOI arXiv
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers. (English) Zbl 1468.76022 Arch. Ration. Mech. Anal. 241, No. 3, 1575-1654 (2021). MSC: 76D55 76D05 35Q30 93B52 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1575--1654 (2021; Zbl 1468.76022) Full Text: DOI arXiv
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. (English) Zbl 1468.49039 Appl. Math. Optim. 83, No. 3, 1765-1829 (2021). MSC: 49N35 35Q30 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Appl. Math. Optim. 83, No. 3, 1765--1829 (2021; Zbl 1468.49039) Full Text: DOI arXiv
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. (English) Zbl 1452.35229 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4071-4117 (2020). MSC: 35Q93 35B35 35K40 93C20 93B52 76D05 80A17 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4071--4117 (2020; Zbl 1452.35229) Full Text: DOI arXiv
Bongarti, Marcelo; Charoenphon, Sutthirut; Lasiecka, Irena Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves. (English) Zbl 1494.76076 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 147-182 (2020). MSC: 76Q05 35B40 47D03 35Q35 PDFBibTeX XMLCite \textit{M. Bongarti} et al., Springer Proc. Math. Stat. 325, 147--182 (2020; Zbl 1494.76076) Full Text: DOI arXiv
Bociu, L.; Castle, L.; Lasiecka, I.; Tuffaha, A. Minimizing drag in a moving boundary fluid-elasticity interaction. (English) Zbl 1445.49002 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111837, 43 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 35L05 35Q30 PDFBibTeX XMLCite \textit{L. Bociu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111837, 43 p. (2020; Zbl 1445.49002) Full Text: DOI
Lasiecka, Irena; Webster, Justin T. Stabilization of a nonlinear flow-plate interaction via component-wise decomposition. (English) Zbl 1355.74036 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 489-506 (2016). MSC: 74F10 74H40 35M32 74K20 76G25 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{J. T. Webster}, Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 489--506 (2016; Zbl 1355.74036) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers. (English) Zbl 1388.35131 Commun. Pure Appl. Anal. 15, No. 5, 1515-1543 (2016). MSC: 35M13 93D20 35K05 35L25 35Q74 47B44 76D07 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Commun. Pure Appl. Anal. 15, No. 5, 1515--1543 (2016; Zbl 1388.35131) Full Text: DOI
Chueshov, Igor; Dowell, Earl H.; Lasiecka, Irena; Webster, Justin T. Nonlinear elastic plate in a flow of gas: recent results and conjectures. (English) Zbl 1354.35148 Appl. Math. Optim. 73, No. 3, 475-500 (2016). MSC: 35Q74 74K20 74F20 76G25 76J20 35B40 74B20 35B41 PDFBibTeX XMLCite \textit{I. Chueshov} et al., Appl. Math. Optim. 73, No. 3, 475--500 (2016; Zbl 1354.35148) Full Text: DOI arXiv
Lasiecka, Irena; Webster, Justin T. Feedback stabilization of a fluttering panel in an inviscid subsonic potential flow. (English) Zbl 1382.74046 SIAM J. Math. Anal. 48, No. 3, 1848-1891 (2016). MSC: 74F10 35B35 35B40 35Q74 37L15 74K20 76G25 35G25 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{J. T. Webster}, SIAM J. Math. Anal. 48, No. 3, 1848--1891 (2016; Zbl 1382.74046) Full Text: DOI arXiv
Caixeta, Arthur H.; Lasiecka, Irena; Cavalcanti, Valéria N. D. Global attractors for a third order in time nonlinear dynamics. (English) Zbl 1343.35033 J. Differ. Equations 261, No. 1, 113-147 (2016). MSC: 35B41 PDFBibTeX XMLCite \textit{A. H. Caixeta} et al., J. Differ. Equations 261, No. 1, 113--147 (2016; Zbl 1343.35033) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Uniform stabilization with arbitrary decay rates of the Oseen equation by finite-dimensional tangential localized interior and boundary controls. (English) Zbl 1337.93071 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, October 6–10, 2013. Cham: Springer (ISBN 978-3-319-12144-4/hbk; 978-3-319-12145-1/ebook). Springer Proceedings in Mathematics & Statistics 113, 125-154 (2015). MSC: 93D15 76D07 35Q35 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Springer Proc. Math. Stat. 113, 125--154 (2015; Zbl 1337.93071) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers. (English) Zbl 1320.35261 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 424-446 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q30 76D05 93D15 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 424--446 (2015; Zbl 1320.35261) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Falcão Nascimento, F. A.; Lasiecka, I.; Rodrigues, J. H. Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping. (English) Zbl 1316.35034 Z. Angew. Math. Phys. 65, No. 6, 1189-1206 (2014). MSC: 35B40 35L53 74K10 74H45 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Z. Angew. Math. Phys. 65, No. 6, 1189--1206 (2014; Zbl 1316.35034) Full Text: DOI
Lasiecka, Irena; Webster, Justin Eliminating flutter for clamped von Karman plates immersed in subsonic flows. (English) Zbl 1310.74019 Commun. Pure Appl. Anal. 13, No. 5, 1935-1969 (2014). MSC: 74F10 74K20 76G25 35B40 35G25 37L15 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{J. Webster}, Commun. Pure Appl. Anal. 13, No. 5, 1935--1969 (2014; Zbl 1310.74019) Full Text: DOI arXiv
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Lasiecka, Irena; Falcão Nascimento, Flávio A. Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects. (English) Zbl 1326.35041 Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 1987-2011 (2014). MSC: 35B40 74F05 35A27 35Q93 58J45 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 1987--2011 (2014; Zbl 1326.35041) Full Text: DOI
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T. Attractors for delayed, nonrotational von Karman plates with applications to flow-structure interactions without any damping. (English) Zbl 1299.74053 Commun. Partial Differ. Equations 39, No. 11, 1965-1997 (2014). MSC: 74F10 35L20 35B41 35Q74 35M33 PDFBibTeX XMLCite \textit{I. Chueshov} et al., Commun. Partial Differ. Equations 39, No. 11, 1965--1997 (2014; Zbl 1299.74053) Full Text: DOI arXiv
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable. (English) Zbl 1408.35101 Trans. Am. Math. Soc. 364, No. 11, 5693-5713 (2012). MSC: 35L72 35L20 93B07 93D15 35L05 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Trans. Am. Math. Soc. 364, No. 11, 5693--5713 (2012; Zbl 1408.35101) Full Text: DOI
Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K. Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. (English) Zbl 1257.35131 Math. Models Methods Appl. Sci. 22, No. 11, Article ID 1250035, 34 p. (2012). Reviewer: Stephan Fackler (Ulm) MSC: 35L77 35B40 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Math. Models Methods Appl. Sci. 22, No. 11, Article ID 1250035, 34 p. (2012; Zbl 1257.35131) Full Text: DOI
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. (English) Zbl 1259.35135 Appl. Anal. 91, No. 8, 1427-1452 (2012). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35L53 93B07 93D15 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Appl. Anal. 91, No. 8, 1427--1452 (2012; Zbl 1259.35135) Full Text: DOI
Kaltenbacher, Barbara; Lasiecka, Irena An analysis of nonhomogeneous Kuznetsov’s equation: Local and global well-posedness; exponential decay. (English) Zbl 1235.35040 Math. Nachr. 285, No. 2-3, 295-321 (2012). MSC: 35B40 35A01 35A02 76Q05 35L77 PDFBibTeX XMLCite \textit{B. Kaltenbacher} and \textit{I. Lasiecka}, Math. Nachr. 285, No. 2--3, 295--321 (2012; Zbl 1235.35040) Full Text: DOI
Kaltenbacher, Barbara; Lasiecka, Irena; Veljović, Slobodan Well-posedness and exponential decay for the Westervelt equation with inhomogeneous Dirichlet boundary data. (English) Zbl 1250.35145 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 357-387 (2011). MSC: 35L76 35B40 35L35 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Prog. Nonlinear Differ. Equ. Appl. 80, 357--387 (2011; Zbl 1250.35145) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto; Zhang, Jing The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach. (English) Zbl 1225.35038 Appl. Anal. 90, No. 5-6, 971-1009 (2011). Reviewer: M. Marin (Brasov) MSC: 35B45 35K20 35L20 49J20 76B03 93B36 93C20 35Q93 35Q30 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Appl. Anal. 90, No. 5--6, 971--1009 (2011; Zbl 1225.35038) Full Text: DOI
Lasiecka, Irena; Lu, Yongjin Strong stability of nonlinear semigroups with weak dissipation and non-compact resolvent-applications to structural acoustics. (English) Zbl 1200.35230 Appl. Anal. 89, No. 1, 87-107 (2010). Reviewer: F. M. Mahomed (Johannesburg) MSC: 35Q35 35Q30 47H20 76Q05 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{Y. Lu}, Appl. Anal. 89, No. 1, 87--107 (2010; Zbl 1200.35230) Full Text: DOI
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. (English) Zbl 1173.35025 J. Dyn. Differ. Equations 21, No. 2, 269-314 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35B41 35B33 35B40 35L20 35L70 PDFBibTeX XMLCite \textit{I. Chueshov} et al., J. Dyn. Differ. Equations 21, No. 2, 269--314 (2009; Zbl 1173.35025) Full Text: DOI