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61 Publications
2023 | Published | Thesis | IST-REx-ID: 14587 |

Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences
A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science and Technology Austria, 2023.
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A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science and Technology Austria, 2023.
2023 | Published | Journal Article | IST-REx-ID: 13135 |

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity
A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
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A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
2023 | Published | Journal Article | IST-REx-ID: 14042 |

On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary
M. Bulíček, J. Málek, E. Maringová, Journal of Mathematical Fluid Mechanics 25 (2023).
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M. Bulíček, J. Málek, E. Maringová, Journal of Mathematical Fluid Mechanics 25 (2023).
2023 | Published | Journal Article | IST-REx-ID: 14554 |

The regularised inertial Dean' Kawasaki equation: Discontinuous Galerkin approximation and modelling for low-density regime
F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
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F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
2023 | Published | Journal Article | IST-REx-ID: 12429 |

On the trace embedding and its applications to evolution equations
A. Agresti, N. Lindemulder, M. Veraar, Mathematische Nachrichten 296 (2023) 1319–1350.
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A. Agresti, N. Lindemulder, M. Veraar, Mathematische Nachrichten 296 (2023) 1319–1350.
2023 | Published | Journal Article | IST-REx-ID: 14661 |

External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a Γ-development
M. Carioni, J.L. Fischer, A. Schlömerkemper, Journal of Convex Analysis 30 (2023) 217–247.
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M. Carioni, J.L. Fischer, A. Schlömerkemper, Journal of Convex Analysis 30 (2023) 217–247.
2023 | Published | Journal Article | IST-REx-ID: 14755 |

Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result
M. Moser, Asymptotic Analysis 131 (2023) 297–383.
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M. Moser, Asymptotic Analysis 131 (2023) 297–383.
2023 | Published | Journal Article | IST-REx-ID: 14772 |

Maximal Lp-regularity and H∞-calculus for block operator matrices and applications
A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
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A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
2022 | Published | Journal Article | IST-REx-ID: 10547 |

Global existence analysis of energy-reaction-diffusion systems
J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, SIAM Journal on Mathematical Analysis 54 (2022) 220–267.
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J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, SIAM Journal on Mathematical Analysis 54 (2022) 220–267.
2022 | Published | Journal Article | IST-REx-ID: 10548 |

Scaling limit of the homogenization commutator for Gaussian coefficient fields
M. Duerinckx, J.L. Fischer, A. Gloria, Annals of Applied Probability 32 (2022) 1179–1209.
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M. Duerinckx, J.L. Fischer, A. Gloria, Annals of Applied Probability 32 (2022) 1179–1209.
2022 | Draft | Preprint | IST-REx-ID: 14597 |

Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, ArXiv (n.d.).
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J.L. Fischer, A. Marveggio, ArXiv (n.d.).
2022 | Published | Journal Article | IST-REx-ID: 11701 |

Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence
A. Agresti, M. Veraar, Nonlinearity 35 (2022) 4100–4210.
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A. Agresti, M. Veraar, Nonlinearity 35 (2022) 4100–4210.
2022 | Published | Journal Article | IST-REx-ID: 11842 |

Weak-strong uniqueness for the Navier–Stokes equation for two fluids with ninety degree contact angle and same viscosities
S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
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S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11858 |

Nonlinear parabolic stochastic evolution equations in critical spaces part II
A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).
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A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12079 |

Convergence rates for the Allen–Cahn equation with boundary contact energy: The non-perturbative regime
S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
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S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12304 |

Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation
N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.
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N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.
2022 | Published | Journal Article | IST-REx-ID: 12305 |

Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°
H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.
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H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.
2021 | Published | Journal Article | IST-REx-ID: 10005 |

On nonlinear problems of parabolic type with implicit constitutive equations involving flux
M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).
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M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).
2021 | Submitted | Preprint | IST-REx-ID: 10011 |

A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
S. Hensel, T. Laux, ArXiv (n.d.).
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S. Hensel, T. Laux, ArXiv (n.d.).
2021 | Published | Journal Article | IST-REx-ID: 10549 |

Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242 (2021) 343–452.
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J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242 (2021) 343–452.