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61 Publications
2025 | Published | Journal Article | IST-REx-ID: 19027 | 
Cornalba, Federico, and Julian L. Fischer. “Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics.” SIAM Journal on Numerical Analysis, vol. 63, no. 1, Society for Industrial and Applied Mathematics, 2025, pp. 262–87, doi:10.1137/23M1617345.
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2024 | Published | Journal Article | IST-REx-ID: 13129 |
Clozeau, Nicolas, et al. “Bias in the Representative Volume Element Method: Periodize the Ensemble Instead of Its Realizations.” Foundations of Computational Mathematics, vol. 24, Springer Nature, 2024, pp. 1305–87, doi:10.1007/s10208-023-09613-y.
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2024 | Published | Journal Article | IST-REx-ID: 12486 |
Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12, Springer Nature, 2024, pp. 1907–81, doi:10.1007/s40072-023-00319-4.
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2024 | Published | Journal Article | IST-REx-ID: 14797 |
Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields, vol. 190, Springer Nature, 2024, pp. 485–541, doi:10.1007/s00440-023-01254-0.
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2024 | Published | Journal Article | IST-REx-ID: 15098 |
Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen, vol. 390, Springer Nature, 2024, pp. 2727–66, doi:10.1007/s00208-024-02812-0.
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2024 | Published | Journal Article | IST-REx-ID: 17462 |
Clozeau, Nicolas, and Lihan Wang. “Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field.” Multiscale Modeling and Simulation, vol. 22, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 973–1029, doi:10.1137/23M1603819.
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2024 | Published | Journal Article | IST-REx-ID: 17481 |
Fischer, Julian L., and Alice Marveggio. “Quantitative Convergence of the Vectorial Allen–Cahn Equation towards Multiphase Mean Curvature Flow.” Annales de l’Institut Henri Poincare C, vol. 41, no. 5, EMS Press, 2024, pp. 1117–78, doi:10.4171/AIHPC/109.
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2024 | Published | Journal Article | IST-REx-ID: 18926 |
Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” Indiana University Mathematics Journal, vol. 73, no. 1, Indiana University Mathematics Journal, 2024, pp. 111–48, doi:10.1512/iumj.2024.73.9701.
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2024 | Published | Journal Article | IST-REx-ID: 14451 |
Cornalba, Federico, et al. “Multi-Objective Reward Generalization: Improving Performance of Deep Reinforcement Learning for Applications in Single-Asset Trading.” Neural Computing and Applications, vol. 36, no. 2, Springer Nature, 2024, pp. 617–37, doi:10.1007/s00521-023-09033-7.
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2024 | Published | Journal Article | IST-REx-ID: 17372 |
Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems.” SIAM Journal on Mathematical Analysis, vol. 56, no. 4, Society for Industrial and Applied Mathematics, 2024, pp. 4870–927, doi:10.1137/23M1562482.
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2024 | Published | Journal Article | IST-REx-ID: 17887 |
Abels, Helmut, et al. “Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System.” Archive for Rational Mechanics and Analysis, vol. 248, no. 5, 77, Springer Nature, 2024, doi:10.1007/s00205-024-02020-9.
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2024 | Published | Journal Article | IST-REx-ID: 12178 |
Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12, Springer Nature, 2024, pp. 53–133, doi:10.1007/s40072-022-00277-3.
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2024 | Published | Journal Article | IST-REx-ID: 12485 |
Agresti, Antonio, and Mark Veraar. “The Critical Variational Setting for Stochastic Evolution Equations.” Probability Theory and Related Fields, vol. 188, Springer Nature, 2024, pp. 957–1015, doi:10.1007/s00440-023-01249-x.
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2024 | Published | Journal Article | IST-REx-ID: 14884 |
Davoli, Elisa, et al. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science, vol. 34, no. 2, 30, Springer Nature, 2024, doi:10.1007/s00332-023-10005-3.
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2024 | Published | Journal Article | IST-REx-ID: 15119 |
Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’institut Henri Poincare Probability and Statistics, vol. 60, no. 1, Institute of Mathematical Statistics, 2024, pp. 413–30, doi:10.1214/22-AIHP1333.
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2024 | Published | Journal Article | IST-REx-ID: 15334 |
Abels, Helmut, et al. “Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System in the Case of a Vanishing Mobility.” Calculus of Variations and Partial Differential Equations, vol. 63, no. 4, 94, Springer Nature, 2024, doi:10.1007/s00526-024-02715-7.
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2023 | Published | Journal Article | IST-REx-ID: 10173 |
Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic Homogenization for Correlated Coefficient Fields.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 11, Springer Nature, 2023, pp. 1254–1378, doi:10.1007/s40072-022-00254-w.
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2023 | Published | Journal Article | IST-REx-ID: 10550 |
Fellner, Klemens, et al. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.” Journal of Nonlinear Science, vol. 33, 66, Springer Nature, 2023, doi:10.1007/s00332-023-09926-w.
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2023 | Published | Journal Article | IST-REx-ID: 10551 |
Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature, 2023, doi:10.1007/s00205-023-01903-7.
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2023 | Published | Journal Article | IST-REx-ID: 13043 |
Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” Interfaces and Free Boundaries, vol. 25, no. 1, EMS Press, 2023, pp. 37–107, doi:10.4171/IFB/484.
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