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2025 Alcalde Zafra A. , Fantuzzi G. , Zuazua Iriondo E. :Exact Sequence Classification with Hardmax Transformers https://arxiv.org/abs/2502.02270 Download Biccari U. , Warma M. , Zuazua Iriondo E. :Boundary observation and control for fractional heat and wave equations 2025 )https://doi.org/10.48550/arXiv.2504.17413 Download Biccari U. , Zuazua Iriondo E. :Gaussian Beam ansatz for finite difference wave equations Foundations of Computational Mathematics 25 2025 ), p. 1-54 ISSN: 1615-3375 10.1007/s10208-023-09632-9 https://dcn.nat.fau.eu/wp-content/uploads/WaveAnsatz.pdf Download Bárcena-Petisco JA. , Cavalcante M. , Coclite GM. , De Nitti N. , Zuazua Iriondo E. :Control of Hyperbolic and Parabolic Equations on Networks and Singular limits In: Vol 15, No. 1 Mathematical Control and Related Fields 2025 , p. 348-389 10.3934/mcrf.2024015 https://hal.science/hal-03233211 Download Crin-Barat T, Shou L-Y, Zhang J:Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the 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:Cluster-based classification with neural ODEs via control 2025 )https://dcn.nat.fau.eu/wp-content/uploads/clusterBased_NODES_final.pdf Download 2024 Alcalde Zafra A. , Fantuzzi G. , Zuazua Iriondo E. :Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis 2024 )10.48550/arXiv.2407.01602 https://arxiv.org/abs/2407.01602 Download Alvarez-Lopez A. , Rafael OI. , Zuazua Iriondo E. :Optimized classification with neural ODEs via separability 2024 )10.48550/arXiv.2312.13807 Download Arslan A. , Fantuzzi G. , Craske J. , Wynn A. :Internal heating profiles for which downward conduction is impossible Journal of Fluid Mechanics 993 2024 )ISSN: 0022-1120 10.1017/jfm.2024.590 Download Barcena Petisco JA. , Zuazua Iriondo E. :Tracking Controllability for the Heat Equation IEEETransactions on Automatic Control 2024 )ISSN: 0018-9286 10.1109/TAC.2024.3476174 Download Bianchini R. , Crin-Barat T. , Paicu M. :Relaxation Approximation and Asymptotic Stability of Stratified 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damped dynamical system modeling adhesive strings Mathematical Models & Methods in Applied Sciences 2024 )ISSN: 0218-2025 10.1142/S021820252450026X Download Coclite GM. , De Nitti N. , Maddalena F. , Orlando G. , Zuazua Iriondo E. :Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings Mathematical Models & Methods in Applied Sciences 2024 )ISSN: 0218-2025 https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf Download Crin-Barat T. , Kawashima S. , Xu J. :The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids 2024 )Download Crin-Barat T. , Shou LY. , Tan J. :Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems Nonlinearity 37 2024 ), Article No.: 075002 ISSN: 0951-7715 10.1088/1361-6544/ad3f66 Download Crin-Barat T. , Skondrić S. , Violini A. :Relative energy method for weak-strong uniqueness of the inhomogeneous Navier-Stokes 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PROPERTIES FOR A NONLOCAL THIN-FILM EQUATION SIAM Journal on Mathematical Analysis 56 2024 ), p. 173-196 ISSN: 0036-1410 10.1137/22M1510297 Download Dehman B. , Zuazua Iriondo E. :Boundary sidewise observability of the wave equation Journal of the European Mathematical Society 2024 )ISSN: 1435-9855 https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf Download Della Pietra F. , Fantuzzi G. , Ignat LI. , Masiello AL. , Paoli G. , Zuazua Iriondo E. :Finite Element Approximation of the Hardy Constant Journal of Convex Analysis 31 2024 ), p. 497-523 ISSN: 0944-6532 Download Della Pietra F. , Fantuzzi G. , Ignat LI. , Masiello AL. , Paoli G. , Zuazua Iriondo E. :Finite element approximation of the Hardy constant 2024 )10.48550/arXiv.2308.01580 Download Dominguez Corella A. , Jork N. , Nečasová Š. , Simon JSH. :Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls Journal of Optimization 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Synergetic Engineering, Volume 2 , Cham 2024 10.1007/978-3-031-60549-9_2 Download Filipkovska M. :Combined numerical methods for solving time-varying semilinear differential-algebraic equations with the use of spectral projectors and recalculation 2024 )10.48550/arXiv.2212.00012 Download Filipkovska M. :Criterion of the global solvability of regular and singular differential-algebraic equations Journal of Mathematical Sciences 2024 )ISSN: 1072-3374 10.1007/s10958-024-07152-7 Download Francisco A. , Biccari U. , Zuazua Iriondo E. :Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation 2024 )https://arxiv.org/abs/2210.03798 Download Ftouhi I. , Masiello AL. , Paoli G. :Sharp inequalities involving the Cheeger constant of planar convex sets Esaim-Control Optimisation and Calculus of Variations 30 2024 ), Article No.: 23 ISSN: 1262-3377 10.1051/cocv/2024015 Download Ftouhi I. , Zuazua Iriondo E. :Optimal Placement and Shape Design of Sensors via Geometric Criteria 2024 European Control Conference, ECC 2024 (Stockholm, SWE June 25, 2024 - June 28, 2024 )In: 2024 European Control Conference, ECC 2024 2024 10.23919/ECC64448.2024.10591236 Download Gazca Orozco PA. , Patel V. :Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids 2024 )10.1016/j.nonrwa.2022.103664 Download Gazca Orozco PA. , Süli E. , Farrell P. :Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow 2024 )https://arxiv.org/abs/2011.03024 Download Geshkovski B. , Zuazua Iriondo E. :Turnpike in Control of PDEs, RESNETs and beyond 2024 )https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf Download Gugat M. :New Lyapunov functions for systems with source terms Control and Cybernetics 53 2024 ), p. 163-187 ISSN: 0324-8569 10.2478/candc-2024-008 https://sciendo.com/de/article/10.2478/candc-2024-0008 Download Gugat M. :The Finite-Time Turnpike Property in Machine Learning MDPI Machines 12 2024 ), Article No.: 705 ISSN: 2075-1702 10.3390/machines12100705 https://www.mdpi.com/2075-1702/12/10/705 Download Gugat M. , Giesselmann J. :An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization SIAM Journal on Control and Optimization 62 2024 ), p. 2273-2296 ISSN: 0363-0129 10.1137/23M1563840 https://epubs.siam.org/doi/10.1137/23M1563840 Download Gugat M. , Giesselmann J. , Kunkel T. :Observer-based data assimilation for barotropic gas transport using distributed measurements Communications in Mathematical Sciences 22 2024 ), p. 2271-2309 ISSN: 1539-6746 10.4310/CMS.240918203214 Download Gugat M. , Giesselmann J. , Kunkel T. :System State Estimation for Gas Flows Using Observers Based on Density Measurements In: Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz (ed.): Hyperbolic Problems: Theory, Numerics, Applications. 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French-German-Spanish Conference on Optimization (Gijon, Spain June 18, 2024 - June 21, 2024 )In: Proceedings FGS 20204 2024 https://digibuo.uniovi.es/dspace/handle/10651/74691 Download Álvarez-López A. , Slimane AH. , Zuazua Iriondo E. :Interplay between depth and width for interpolation in neural ODEs Neural Networks 180 2024 ), Article No.: 106640 ISSN: 0893-6080 10.1016/j.neunet.2024.106640 Download 2023 Arslan A. , Fantuzzi G. , John C. , Wynn A. :Rigorous scaling laws for internally heated convection at infinite Prandtl number Journal of Mathematical Physics 64 2023 ), Article No.: 023101 ISSN: 0022-2488 10.1063/5.0098250 Download Biccari U. , Song Y. , Yuan X. , Zuazua Iriondo E. :A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation Inverse Problems 2023 )ISSN: 0266-5611 10.48550/arXiv.2202.01589 https://arxiv.org/abs/2202.01589 Download Biccari U. , Zuazua Iriondo E. :Multilevel control by duality Systems & Control 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:Uncertainty propagation for nonlinear dynamics: A polynomial optimization approach American Control Conference (ACC) (San Diego, CA May 31, 2023 - June 2, 2023 )In: IEEE (ed.): 2023 American Control Conference (ACC) 2023 10.23919/ACC55779.2023.10156169 https://arxiv.org/abs/2209.07432 Download Crin-Barat T. , Shou LY. :Diffusive relaxation limit of the multi-dimensional Jin-Xin system Journal of Differential Equations 357 2023 ), p. 302-331 ISSN: 0022-0396 10.1016/j.jde.2023.02.015 Download Das A. , Saha J. :Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing Proceedings of the Royal Society of Edinburgh Section A-Mathematics 2023 )ISSN: 0308-2105 10.1017/prm.2023.116 Download De Nitti N. , Konig T. :Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension Calculus of Variations and Partial Differential Equations 62 2023 )ISSN: 0944-2669 10.1007/s00526-023-02446-1 Download De Nitti N. , König T. :Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion Journal of Functional Analysis 285 2023 ), Article No.: 110093 ISSN: 0022-1236 10.1016/j.jfa.2023.110093 Download De Nitti N. , Zuazua Iriondo E. :On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods Vietnam Journal of Mathematics 2023 )ISSN: 0866-7179 10.1007/s10013-022-00598-9 Download Dominguez Corella A. , Casas E. , Jork N. :New Assumptions for Stability Analysis in Elliptic Optimal Control Problems SIAM Journal on Control and Optimization 61 2023 ), p. 1394-1414 ISSN: 0363-0129 10.1137/22M149199X Download Dominguez Corella A. , Veliov VM. , Jork N. :On the solution stability of parabolic optimal control problems Computational Optimization and Applications 2023 )ISSN: 0926-6003 10.1007/s10589-023-00473-4 Download Esteve-Yague C. , Zuazua Iriondo E. :Reachable set for Hamilton-Jacobi 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:Turnpike properties of optimal boundary control problems with random linear hyperbolic systems Esaim-Control Optimisation and Calculus of Variations 29 2023 ), Article No.: 55 ISSN: 1292-8119 10.1051/cocv/2023051 https://www.esaim-cocv.org/articles/cocv/abs/2023/01/cocv220028/cocv220028.html Download Gugat M. , Huang X. , Wang Z. :Limits of stabilization of a networked hyperbolic system with a circle Control and Cybernetics 52 2023 ), p. 79-121 ISSN: 0324-8569 10.2478/candc-2023-0033 http://control.ibspan.waw.pl:3000/contents/list?year=2023 Download Gugat M. , Lazar M. :Turnpike properties for partially uncontrollable systems Automatica 149 2023 )ISSN: 0005-1098 10.1016/j.automatica.2022.110844 Download Gugat M. , Lazar M. :Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay International Journal of Applied Mathematics and Computer Science 33 2023 ), p. 429–438 ISSN: 1641-876X 10.34768/amcs-2023-0031 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Long time horizon behavior Serdica Mathematical Journal 49 2023 ), p. 127-154 ISSN: 1310-6600 10.55630/serdica.2023.49.127-154 https://serdica.math.bas.bg/index.php/serdica/article/view/39 Download Kharchandy FWV. , Das A. , Thota V. , Saha J. , Singh M. :A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation Axioms 2023 )ISSN: 2075-1680 10.3390/axioms12020181 Download Lazar M. , Zuazua Iriondo E. :Greedy search of optimal approximate solutions Pure and Applied Functional Analysis 8 2023 ), p. 547-564 ISSN: 2189-3764 http://yokohamapublishers.jp/online2/oppafa/vol8/p547.html https://dcn.nat.fau.eu/wp-content/uploads/greedy-solving-systems.pdf Download Liard T. , Zuazua Iriondo E. :ANALYSIS AND NUMERICAL SOLVABILITY OF BACKWARD-FORWARD CONSERVATION LAWS SIAM Journal on Mathematical Analysis 55 2023 ), p. 1949-1968 ISSN: 0036-1410 10.1137/22M1478720 Download Liverani L., Mammeri Y., Pata V., Quintanilla R.:On the linearized Whitham-Broer-Kaup system on bounded domains Proceedings of the Royal Society of Edinburgh Section A-Mathematics 2023 )ISSN: 0308-2105 10.1017/prm.2023.85 Download Conti M., Liverani L., Pata V.:On the Moore-Gibson-Thompson Equation with Memory with Nonconvex Kernels Indiana University Mathematics Journal 72 2023 ), p. 1-27 ISSN: 0022-2518 10.1512/iumj.2023.72.9330 Download Dell’Oro F., Liverani L., Pata V.:On the Regularized Moore-Gibson-Thompson Equation Discrete and Continuous Dynamical Systems. 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Raja Sekhar, Suchandan Kayal (ed.): Applied Analysis, Computation and Mathematical Modelling in Engineering Springer 2022 (Lecture Notes in Electrical Engineering, Vol.897) 10.1007/978-981-19-1824-7_22 Download Das A. , Saha J. :On the mass conserving solutions to the singular kernel coagulation with multi fragmentation Japan Journal of Industrial and Applied Mathematics 40 2022 ), p. 563-588 ISSN: 0916-7005 10.1007/s13160-022-00544-9 Download Das A. , Saha J. :The discrete Safronov-Dubovskiı̌ aggregation equation: Instantaneous gelation and nonexistence theorem Journal of Mathematical Analysis and Applications 514 2022 ), Article No.: 126310 ISSN: 0022-247X 10.1016/j.jmaa.2022.126310 Download De Nitti N. , Fischer J. :Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation Communications in Partial Differential Equations 2022 )ISSN: 0360-5302 10.1080/03605302.2022.2056702 Download De Nitti N. , Hounkpe F. , Schulz S. :On Liouville-type theorems for the 2D stationary MHD equations Nonlinearity 35 2022 ), p. 870-888 ISSN: 0951-7715 10.1088/1361-6544/ac3f8b Download Dominguez Corella A. , Veliov VM. :Hölder regularity in bang-bang type affine optimal control problems In: Large-scale scientific computing 2022 Download Dominguez Corella A. , Veliov VM. , Angelov G. :On the accuracy of the model predictive control method SIAM Journal on Control and Optimization 60 2022 ), p. 2469--2487 ISSN: 0363-0129 10.1137/21M1460430 Download Dominguez Corella A. , Veliov VM. , Jork N. :Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations Esaim-Control Optimisation and Calculus of Variations 28 2022 ), p. 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Zuazua (ed.): Handbook of Numerical Analysis Elsevier 2022 (Handbook of Numerical Analysis) 10.1016/bs.hna.2021.12.002 Download Gugat M. , Schuster M. , Lang J. , Strauch E. :Probabilistic constrained optimization on flow networks Optimization and Engineering 23 2022 ), p. 1--50 ISSN: 1389-4420 10.1007/s11081-021-09619-x Download Gugat M. , Sokolowski J. :On problems of dynamic optimal nodal control for gas networks Pure and Applied Functional Analysis 5 2022 ), p. 1699-1715 ISSN: 2189-3764 http://yokohamapublishers.jp/online2/oppafa/vol7/p1699.html Download Gugat M. , Zuazua Iriondo E. , Schuster M. :Optimal Control for ODEs and PDEs: The Turnpike Phenomenon 65th Joint Conference on Automatic Control (Utsunomiya November 12, 2022 - November 13, 2022 )In: Extended Abstracts of the 65th Joint Conference on Automatic Control 2022 Download Hernández Salinas M. , Lecaros R. , Zamorano S. :AVERAGED TURNPIKE PROPERTY FOR DIFFERENTIAL EQUATIONS WITH RANDOM CONSTANT COEFFICIENTS Mathematical Control and Related Fields 2022 )ISSN: 2156-8472 10.3934/mcrf.2022016 Download Huang S. , Zhang H. , Chen P. , Zhu Y. , Zuazua Iriondo E. :An energy-based vibration model for beam bridges with multiple constraints Structural Engineering and Mechanics 82 2022 ), p. 41-53 ISSN: 1225-4568 10.12989/sem.2022.82.1.041 Download Jin S. , Zhu Y. , Zuazua Iriondo E. :The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term Numerische Mathematik 2022 )ISSN: 0029-599X 10.1007/s00211-021-01257-w Download Jin S. , Zhu Y. , Zuazua Iriondo E. :The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term Numerische Mathematik 2022 )ISSN: 0029-599X 10.1007/s00211-021-01257-w Download Liard T. , Zuazua Iriondo E. :Initial data identification for the one-dimensional Burgers equation IEEE Transactions on Automatic Control 67 2022 ), p. 3098-3104 ISSN: 1558-2523 10.1109/TAC.2021.3096921 https://ieeexplore.ieee.org/document/9484713 Download Conti M., Liverani L., Pata V.:Erratum: THERMOELASTICITY WITH ANTIDISSIPATION (Discrete and Continuous Dynamical Systems - Series S (2022) 15:8 (2173-2188)) Discrete and Continuous Dynamical Systems. 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Arkadi Berezovski, Tarmo Soomere (ed.): Applied Wave Mathematics II Springer 2019 , p. 343-363 (Mathematics of Planet Earth, Vol.6)ISBN: 978-3-030-29950-7 10.1007/978-3-030-29951-4 Download Ruiz-Balet D. , Zuazua Iriondo E. :Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations 2019 )10.1016/j.matpur.2020.08.006 Download Song YC, Yuan XM, Yue HR:AN INEXACT UZAWA ALGORITHMIC FRAMEWORK FOR NONLINEAR SADDLE POINT PROBLEMS WITH APPLICATIONS TO ELLIPTIC OPTIMAL CONTROL PROBLEM SIAM Journal on Numerical Analysis 57 2019 ), p. 2656-2684 ISSN: 0036-1429 10.1137/19M1245736 Download 2018 2017 2016
