2024
Alves, N. J., & Tzavaras, A. E. (2024). Zero-electron-mass and quasi-neutral limits for bipolar Euler–Poisson systems. Zeitschrift für angewandte Mathematik und Physik, 75, 17. doi:10.1007/s00033-023-02162-y
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2023
Georgiadis, S., Kim, H., & Tzavaras, A. E. (2023). Uniqueness of renormalized solutions for the Maxwell-Stefan system.
arxiv
2311.10465Handle
Georgiadis, S., & Tzavaras, A. E. (2023). Alignment via friction for nonisothermal multicomponent fluid systems.
arxiv
2311.10546Handle
Katsaounis, T., Mousikou, I., & Tzavaras, A. E. (2023). Axisymmetric flows with swirl for Euler and Navier-Stokes equations.
arxiv
2311.10575Handle
Brudvik-Lindner, L., Mitsotakis, D., & Tzavaras, A. E. (2023). Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system. IMA Journal of Applied Mathematics, 88(4), 602–631. doi:10.1093/imamat/hxad030
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Alves, N. J., & Tzavaras, A. E. (2023). The relative energy for electromagnetic fluids.
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Koumatos, K., Lattanzio, C., Spirito, S., & Tzavaras, A. E. (2023). Existence and uniqueness for a viscoelastic Kelvin–Voigt model with nonconvex stored energy. Journal of Hyperbolic Differential Equations, 20(02), 433–474. doi:10.1142/s0219891623500133
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Berselli, L. C., & Georgiadis, S. (2023). Three results on the Energy conservation for the 3D Euler equations.
arxiv
2307.04410Handle
Alves, N. J. (2023). The role of Riesz potentials in the weak–strong uniqueness for Euler–Poisson systems. Applicable Analysis, 1–16. doi:10.1080/00036811.2023.2230996
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Huo, X., Jüngel, A., & Tzavaras, A. E. (2023). Existence and weak–strong uniqueness for Maxwell–Stefan–Cahn–Hilliard systems. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. doi:10.4171/aihpc/89
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DOI
10.4171/aihpc/89Georgiadis, S., & Jüngel, A. (2023). Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems.
arxiv
2303.17693Handle
Menon, G., Slemrod, M., & Tzavaras, A. (2023). Preface for the special issue in honor of C. M. Dafermos. Quarterly of Applied Mathematics, 81(2), 245–246. doi:10.1090/qam/1653
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DOI
10.1090/qam/1653Alves, N. J., & Paulos, J. (2023). A mode of convergence arising in diffusive relaxation.
arxiv
2302.13868Handle
Bolbot, D., Mitsotakis, D., & Tzavaras, A. (2023). Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics. Quarterly of Applied Mathematics, 81(3), 455–481. doi:10.1090/qam/1658
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DOI
10.1090/qam/1658Katsaounis, T., Mousikou, I., & Tzavaras, A. E. (2023). Self-similar axisymmetric flows with swirl.
arxiv
2301.11090Handle
Georgiadis, S., Jüngel, A., & Tzavaras, A. E. (2023). Non-isothermal multicomponent flows with mass diffusion and heat conduction.
arxiv
2301.08928Handle
Georgiadis, S., & Tzavaras, A. E. (2023). Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion. ESAIM: Mathematical Modelling and Numerical Analysis, 57(1), 69–106. doi:10.1051/m2an/2022065
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2022
Kamarianakis, Y., Pantazis, Y., Kalligiannaki, E., Katsaounis, T. D., Kotsovos, K., Gereige, I., Abdullah, M., Jamal, A., & Tzavaras, A. (2022). Day-Ahead Forecasting of Solar Irradiance & PV Power Output Through Statistical Machine Learning Methods. 2022 Saudi Arabia Smart Grid (SASG). doi:10.1109/sasg57022.2022.10199879
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Katsaounis, T., Kounadis, G., Mousikou, I., & Tzavaras, A. E. (2022). Optimization Methods for One Dimensional Elastodynamics.
arxiv
2208.13657Handle
Huo, X., Jüngel, A., & Tzavaras, A. E. (2022). Weak-Strong Uniqueness for Maxwell--Stefan Systems. SIAM Journal on Mathematical Analysis, 54(3), 3215–3252. doi:10.1137/21m145210x
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Alves, N. J., & Tzavaras, A. E. (2022). The relaxation limit of bipolar fluid models. Discrete & Continuous Dynamical Systems, 42(1), 211-237. doi:10.3934/dcds.2021113
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2021
Huo, X., Liu, H., Tzavaras, A. E., & Wang, S. (2021). An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System. SIAM Journal on Numerical Analysis, 59(5), 2321–2345. doi:10.1137/20m1338666
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Huo, X., & Liu, H. (2021). A positivity‐preserving and energy stable scheme for a quantum diffusion equation. Numerical Methods for Partial Differential Equations, 37(6), 2973–2999. doi:10.1002/num.22809
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2020
Ghattassi, M., Huo, X., & Masmoudi, N. (2020). On the diffusive limits of radiative heat transfer system I: well prepared initial and boundary conditions.
arxiv
2007.13209Handle
Christoforou, C., Galanopoulou, M., & Tzavaras, A. E. (2020). A discrete variational scheme for isentropic processes in polyconvex thermoelasticity. Calculus of Variations and Partial Differential Equations, 59(4). doi:10.1007/s00526-020-01766-w
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Katsaounis, T., Kotsovos, K., Gereige, I., Basaheeh, A., Abdullah, M., Khayat, A., Al Habshi, E., Al-Saggaf, A., & Tzavaras, A. (2020). Seasonal Performance Assessment of Various PV Technologies in a Desert Climate through Device Simulations and Outdoor Measurements. EUPVSEC 2020 Proceedings, 1112-1116. doi:10.4229/EUPVSEC20202020-4AV.2.16
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2019
Katsaounis, T., Kotsovos, K., Gereige, I., Basaheeh, A., Abdullah, M., Khayat, A., Al Habshi, E., Al-Saggaf, A., & Tzavaras, A.E (2019). Performance Assessment of Various PV Module Types under Desert Conditions through Device Simulations and Outdoor Measurements. EUPVSEC 2019 Proceedings, 874 - 879. doi:10.4229/EUPVSEC20192019-4CO.2.1
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Christoforou, C., Galanopoulou, M., & Tzavaras A.E. (2019). Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity. Discrete & Continuous Dynamical Systems - A, 39(11), 6175-6206. doi:10.3934/dcds.2019269
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Huo, X., Jüngel, A., & Tzavaras, A.E. (2019). High-friction limits of Euler flows for multicomponent systems. Nonlinearity, 32(8), 2875–2913. doi:10.1088/1361-6544/ab12a6
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Katsaounis, T., Kotsovos, K., Gereige, I., Basaheeh, A., Abdullah, M., Khayat, A., Al Habshi, E., Al-Saggaf, A., & Tzavaras, A.E. (2019). Performance assessment of bifacial c-Si PV modules through device simulations and outdoor measurements. Renewable Energy, 143, 1285-1298. doi:10.1016/j.renene.2019.05.057
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Lee, M.-G., Katsaounis, T., & Tzavaras, A.E. (2019). Localization in Adiabatic Shear Flow Via Geometric Theory of Singular Perturbations. Journal of Nonlinear Science, 29, 2055–2101. doi:10.1007/s00332-019-09538-3
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2018
Dębiec, T., Gwiazda, P., Świerczewska-Gwiazda, A., & Tzavaras, A.E. (2018). Conservation of energy for the Euler–Korteweg equations. Calculus of Variations and Partial Differential Equations, 57, 160. doi:10.1007/s00526-018-1441-8.
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Lee, M.-G., Katsaounis, T., & Tzavaras, A.E (2018). Localization of Adiabatic Deformations in Thermoviscoplastic Materials. Theory, Numerics and Applications of Hyperbolic Problems II, 269-280. doi:10.1007/978-3-319-91548-7_21
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Christoforou, C., & Tzavaras A.E. (2018). On The Relative Entropy Method For Hyperbolic-Parabolic Systems. Theory, Numerics and Applications of Hyperbolic Problems I, 236, 363-374. doi:10.1007/978-3-319-91545-6_29
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Katsaounis, T., & Kyza, I. (2018). A Posteriori Error Analysis for Evolution Nonlinear Schrödinger Equations up to the Critical Exponent. SIAM Journal on Numerical Analysis, 56(1), 405–1434. doi:10.1137/16M1108029.
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Christoforou, C., Galanopoulou, M., & Tzavaras, A. E. (2018). A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Communications in Partial Differential Equations, 1–32. doi:10.1080/03605302.2018.1456551
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2017
Christoforou, C., & Tzavaras, A.E. (2017). Relative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity. Archive for Rational Mechanics and Analysis, 229, 1–52. doi:10.1007/s00205-017-1212-2
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Giesselmann, J., & Tzavaras, A. E. (2017). Stability properties of the Euler–Korteweg system with nonmonotone pressures. Applicable Analysis, 96(9), 1528–1546. doi:10.1080/00036811.2016.1276175
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Katsaounis, T., Kotsovos, K., Gereige, I., Al-Saggaf, A., & Tzavaras, A. (2017). 2D simulation and performance evaluation of bifacial rear local contact c-Si solar cells under variable illumination conditions. Solar Energy, 158, 34–41. doi:10.1016/j.solener.2017.09.023
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Katsaounis, T., Lee, M.-G., & Tzavaras, A. (2017). Localization in inelastic rate dependent shearing deformations. Journal of the Mechanics and Physics of Solids, 98, 106–125. doi:10.1016/j.jmps.2016.08.015
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Katsaounis, Th., Olivier, J., & Tzavaras A.E. (2017) Emergence of Coherent Localized Structures in Shear Deformations of Temperature Dependent Fluids, Archive Rational Mechanics and Analysis, vol. 224, no. 1, pp. 173–208. doi:10.1007/s00205-016-1071-2
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Helzel, C., & Tzavaras, A. E. (2017). A Kinetic Model for the Sedimentation of Rod--Like Particles. Multiscale Modeling & Simulation, 15(1), 500–536. doi:10.1137/15m1023907
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Lee, M.-G., & Tzavaras, A. (2017). Existence of Localizing Solutions in Plasticity via Geometric Singular Perturbation Theory. SIAM Journal on Applied Dynamical Systems, 16(1), 337–360. doi:10.1137/16m1087308
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2016
Lattanzio, C., & Tzavaras, A.E. (2016). From gas dynamics with large friction to gradient flows describing diffusion theories. Communications in Partial Differential Equations, 42:2, 261-290. doi:10.1080/03605302.2016.1269808
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Giesselmann, J., Lattanzio, C., & Tzavaras, A.E. (2017). Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics. Archive for Rational Mechanics and Analysis, 223, 1427–1484. doi:10.1007/s00205-016-1063-2
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Athanassoulis, A., Katsaounis, T., & Kyza, I. (2016). Regularized semiclassical limits: Linear flows with infinite Lyapunov exponents. Communications in Mathematical Sciences, 14(7), 1821–1858. doi:10.4310/cms.2016.v14.n7.a3
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Helzel, C., & Tzavaras, A. E. (2016). A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows. Physica D: Nonlinear Phenomena, 337, 18–29. doi:10.1016/j.physd.2016.07.004
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Katsaounis, T., & Mitsotakis, D. (2016). On the reflection of solitons of the cubic nonlinear Schrödinger equation. Mathematical Methods in the Applied Sciences, 41(3), 1013–1018. doi:10.1002/mma.4070
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DOI
10.1002/mma.40702014
Miroshnikov A., & Tzavaras A. E. (2014). On the Construction and Properties of Weak Solutions Describing Dynamic Cavitation. Journal of Elasticity, 118(2), 141–185. doi: 10.1007/s10659-014-9488-z