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

2023

Georgiadis, S., Kim, H., & Tzavaras, A. E. (2023). Uniqueness of renormalized solutions for the Maxwell-Stefan system.
Georgiadis, S., & Tzavaras, A. E. (2023). Alignment via friction for nonisothermal multicomponent fluid systems.
Katsaounis, T., Mousikou, I., & Tzavaras, A. E. (2023). Axisymmetric flows with swirl for Euler and Navier-Stokes equations.
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
Alves, N. J., & Tzavaras, A. E. (2023). The relative energy for electromagnetic fluids.
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
Berselli, L. C., & Georgiadis, S. (2023). Three results on the Energy conservation for the 3D Euler equations.
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
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
Georgiadis, S., & Jüngel, A. (2023). Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems.
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
Alves, N. J., & Paulos, J. (2023). A mode of convergence arising in diffusive relaxation.
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
Katsaounis, T., Mousikou, I., & Tzavaras, A. E. (2023). Self-similar axisymmetric flows with swirl.
Georgiadis, S., Jüngel, A., & Tzavaras, A. E. (2023). Non-isothermal multicomponent flows with mass diffusion and heat conduction.
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

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
Katsaounis, T., Kounadis, G., Mousikou, I., & Tzavaras, A. E. (2022). Optimization Methods for One Dimensional Elastodynamics.
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
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

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
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

2020

Ghattassi, M., Huo, X., & Masmoudi, N. (2020). On the diffusive limits of radiative heat transfer system I: well prepared initial and boundary conditions.
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
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

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
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
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
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
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

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.
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
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
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.
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

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
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
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
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
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
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
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

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
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
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
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
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

2014

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