OverviewPublications2025Kim, H.-Y., Kim, M.-Y., & Kim, Y.-J. (2025). Fractionation by persistent random walk and two-coefficient diffusion law. Physica A: Statistical Mechanics and Its Applications, 674, 130718. handle doiLiu, W., & Sofiani, M. (2025). Bifurcation and stability of stationary shear flows of Ericksen-Leslie model for nematic liquid crystals. arxivLiu, H., & Tzavaras, A. E. (2025). Variational structure of Fokker-Planck equations with variable mobility handle arxivAlNajjar, A., Spirito, S., & Tzavaras, A. E. (2025). Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy. Nonlinearity, 38(5), 055021. handle doiGrekas, G., Pop-Ghe, P.-L., Quandt, E., & James, R. D. (2025). Theory of Intermediate Twinning and Spontaneous Polarization in Ferroelectric Potassium Sodium Niobate. Shape Memory and Superelasticity, 11(2), 152–166. handle doiGrekas, G., & Makridakis, C. G. (2025). Deep Ritz - Finite element methods: Neural network methods trained with finite elements. Computer Methods in Applied Mechanics and Engineering, 437, 117798. handle doiBerselli, L. C., Georgiadis, S., & Tzavaras, A. E. (2025). Absence of anomalous dissipation for weak solutions of the Maxwell–Stefan system. Nonlinearity, 38(2), 025018. handle doiGrekas, G., Koumatos, K., Makridakis, C., & Vikelis, A. (2025). Convergence of Discontinuous Galerkin Methods for Quasiconvex and Relaxed Variational Problems. handle arxiv2024Alves, N. J., Markowich, P., & Tzavaras, A. E. (2024). Analytic solutions for Vlasov equations with nonlinear zero-moment dependence. handle arxivAlves, N. J., Grafakos, L., & Tzavaras, A. E. (2024). A bilinear fractional integral operator for Euler-Riesz systems. handle arxivAlves, N. J., Skrzeczkowski, J., & Tzavaras, A. E. (2024). Strong convergence of sequences with vanishing relative entropy. handle arxivTzavaras, A. E. (2024). Oscillations in compressible Navier–Stokes and homogenization in phase transition problems. Journal of Hyperbolic Differential Equations, 21(03), 827–843. handle doiKim, H., Lee, K. K., Firisa, G., Lee, J., Choi, M. C., & Kim, Y.-J. (2024). Fractionation by Spatially Heterogeneous Diffusion: Experiments and the Two-Component Random Walk Model. Journal of the American Chemical Society, 146(37), 25544–25551. handle doiGeorgiadis, S. (2024). Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non–degenerate mobility. Zeitschrift für angewandte Mathematik und Physik, 75(5). handle doiHilhorst, D., Kang, S.-M., Kim, H.-Y., & Kim, Y.-J. (2024). Fick's law selects the Neumann boundary condition. Nonlinear Analysis, 245, 113561. handle doiKatsaounis, T., Mousikou, I., & Tzavaras, A. E. (2024). Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations. Journal of Nonlinear Science, 34(5). handle doiChung, J., Kang, S., Kim, H.-Y., & Kim, Y.-J. (2024). Emergence of boundary conditions in the heat equation. Journal of Mathematical Physics, 65(7). handle doiKatsaounis, T., Mousikou, I., & Tzavaras, A. E. (2024). Self-similar axisymmetric flows with swirl. Hyperbolic Problems: Theory, Numerics, Applications. Volume II, 407–417. handle doiGeorgiadis, S., Jüngel, A., & E. Tzavaras, A. (2024). Non-isothermal Multicomponent Flows with Mass Diffusion and Heat Conduction. Hyperbolic Problems: Theory, Numerics, Applications. Volume I, 263–273. handle doiGeorgiadis, S., & Jüngel, A. (2024). Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems. Nonlinearity, 37(7), 075016. handle doiAlves, N. J., & Tzavaras, A. E. (2024). The relative energy for electromagnetic fluids. Hyperbolic Problems: Theory, Numerics, Applications. Volume I, 109–119. handle doiTzavaras, A. E. (2024). Sustained Oscillations in Hyperbolic–Parabolic Systems. Archive for Rational Mechanics and Analysis, 248(3). handle doiGeorgiadis, S., & Tzavaras, A. E. (2024). Alignment via Friction for Nonisothermal Multicomponent Fluid Systems. Acta Applicandae Mathematicae, 191(1). handle doiBolbot, D., Mitsotakis, D., & Tzavaras, A. E. (2024). Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system. Studies in Applied Mathematics, 153(1). handle doiKamarianakis, Y., Pantazis, Y., Kalligiannaki, E., Katsaounis, T. D., Kotsovos, K., Gereige, I., Abdullah, M., Jamal, A., & Tzavaras, A. (2024). Robust day-ahead solar forecasting with endogenous data and sliding windows. Journal of Renewable and Sustainable Energy, 16(2). handle doiAlves, N. J., & Paulos, J. (2024). A mode of convergence arising in diffusive relaxation. The Quarterly Journal of Mathematics, 75(1), 143–159. handle doiBerselli, L. C., & Georgiadis, S. (2024). Three results on the energy conservation for the 3D Euler equations. Nonlinear Differential Equations and Applications NoDEA, 31(3). handle doiAlves, 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. handle doi2023Giletti, T., & Kim, H.-Y. (2023). Convergence to a terrace solution in multistable reaction–diffusion equation with discontinuities. Nonlinear Analysis: Real World Applications, 74, 103924. handle doiGeorgiadis, S., Kim, H., & Tzavaras, A. E. (2023). Uniqueness of renormalized solutions for the Maxwell-Stefan system. handle arxivBrudvik-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. handle doiKoumatos, 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. handle doiAlves, N. J. (2023). The role of Riesz potentials in the weak–strong uniqueness for Euler–Poisson systems. Applicable Analysis, 1–16. handle doiHuo, 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. handle doiMenon, 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. handle doiBolbot, 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. handle doiGeorgiadis, 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. handle doi2022Kamarianakis, 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). handle doiKatsaounis, T., Kounadis, G., Mousikou, I., & Tzavaras, A. E. (2022). Optimization Methods for One Dimensional Elastodynamics. handle arxivHuo, X., Jüngel, A., & Tzavaras, A. E. (2022). Weak-Strong Uniqueness for Maxwell--Stefan Systems. SIAM Journal on Mathematical Analysis, 54(3), 3215–3252. handle doiAlves, N. J., & Tzavaras, A. E. (2022). The relaxation limit of bipolar fluid models. Discrete & Continuous Dynamical Systems, 42(1), 211-237. handle doi2021Huo, 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. handle doiHuo, 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. handle doi2020Ghattassi, M., Huo, X., & Masmoudi, N. (2020). On the diffusive limits of radiative heat transfer system I: well prepared initial and boundary conditions. handle arxivChristoforou, 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). handle doiKatsaounis, 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. handle doi2019Katsaounis, 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. handle doiChristoforou, 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. handle doiHuo, X., Jüngel, A., & Tzavaras, A.E. (2019). High-friction limits of Euler flows for multicomponent systems. Nonlinearity, 32(8), 2875–2913. handle doiKatsaounis, 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. handle doiLee, 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. handle doi2018Dębiec, 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. handle doiLee, 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. handle doiChristoforou, 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. handle doiKatsaounis, 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. handle doiChristoforou, 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. handle doi2017Christoforou, 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. handle doiKatsaounis, 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. handle doiGiesselmann, J., & Tzavaras, A. E. (2017). Stability properties of the Euler–Korteweg system with nonmonotone pressures. Applicable Analysis, 96(9), 1528–1546. handle doiKatsaounis, 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. handle doiHelzel, C., & Tzavaras, A. E. (2017). A Kinetic Model for the Sedimentation of Rod--Like Particles. Multiscale Modeling & Simulation, 15(1), 500–536. handle doiLee, 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. handle doiKatsaounis, 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. handle doi2016Lattanzio, 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. handle doiGiesselmann, 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. handle doiAthanassoulis, A., Katsaounis, T., & Kyza, I. (2016). Regularized semiclassical limits: Linear flows with infinite Lyapunov exponents. Communications in Mathematical Sciences, 14(7), 1821–1858. handle doiHelzel, 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. handle doiKatsaounis, 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. handle doi2014Miroshnikov A., & Tzavaras A. E. (2014). On the Construction and Properties of Weak Solutions Describing Dynamic Cavitation. Journal of Elasticity, 118(2), 141–185. handle doi
