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30 Publications
2021 | Journal Article | IST-REx-ID: 8792 |

On a non-isothermal Cahn-Hilliard model based on a microforce balance
A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970.
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A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970.
2021 | Journal Article | IST-REx-ID: 9240 |

Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions
F. Cornalba, T. Shardlow, J. Zimmer, Journal of Differential Equations 284 (2021) 253–283.
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F. Cornalba, T. Shardlow, J. Zimmer, Journal of Differential Equations 284 (2021) 253–283.
2021 | 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 | Thesis | IST-REx-ID: 10007 |

Curvature driven interface evolution: Uniqueness properties of weak solution concepts
S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, IST Austria, 2021.
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S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, IST Austria, 2021.
2021 | 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 | Preprint | IST-REx-ID: 10013 |

Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, ArXiv (n.d.).
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S. Hensel, T. Laux, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 10173 |

Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields
N. Clozeau, ArXiv (n.d.).
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N. Clozeau, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 10174 |

Quantitative nonlinear homogenization: control of oscillations
N. Clozeau, A. Gloria, ArXiv (n.d.).
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N. Clozeau, A. Gloria, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 10547 |

Global existence analysis of energy-reaction-diffusion systems
J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, ArXiv (n.d.).
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J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 10548 |

Scaling limit of the homogenization commutator for Gaussian coefficient fields
M. Duerinckx, J.L. Fischer, A. Gloria, ArXiv (n.d.).
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M. Duerinckx, J.L. Fischer, A. Gloria, ArXiv (n.d.).
2021 | 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.
2021 | Preprint | IST-REx-ID: 10550 |

Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, ArXiv (n.d.).
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K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 10551 |

The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
F. Cornalba, J.L. Fischer, ArXiv (n.d.).
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F. Cornalba, J.L. Fischer, ArXiv (n.d.).
2021 | Journal Article | IST-REx-ID: 9307 |

Finite time extinction for the 1D stochastic porous medium equation with transport noise
S. Hensel, Stochastics and Partial Differential Equations: Analysis and Computations 9 (2021) 892–939.
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S. Hensel, Stochastics and Partial Differential Equations: Analysis and Computations 9 (2021) 892–939.
2021 | Journal Article | IST-REx-ID: 9335 |

The waiting time phenomenon in spatially discretized porous medium and thin film equations
J.L. Fischer, D. Matthes, SIAM Journal on Numerical Analysis 59 (2021) 60–87.
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J.L. Fischer, D. Matthes, SIAM Journal on Numerical Analysis 59 (2021) 60–87.
2021 | Journal Article | IST-REx-ID: 9352 |

A priori error analysis of a numerical stochastic homogenization method
J.L. Fischer, D. Gallistl, D. Peterseim, SIAM Journal on Numerical Analysis 59 (2021) 660–674.
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J.L. Fischer, D. Gallistl, D. Peterseim, SIAM Journal on Numerical Analysis 59 (2021) 660–674.
2021 | Journal Article | IST-REx-ID: 10575 |

On the dynamic slip boundary condition for Navier-Stokes-like problems
A. Abbatiello, M. Bulíček, E. Maringová, Mathematical Models and Methods in Applied Sciences 31 (2021) 2165–2212.
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A. Abbatiello, M. Bulíček, E. Maringová, Mathematical Models and Methods in Applied Sciences 31 (2021) 2165–2212.
2020 | Journal Article | IST-REx-ID: 7866 |

Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model
K. Fellner, M. Kniely, Journal of Elliptic and Parabolic Equations 6 (2020) 529–598.
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K. Fellner, M. Kniely, Journal of Elliptic and Parabolic Equations 6 (2020) 529–598.
2020 | Journal Article | IST-REx-ID: 7489 |

Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension
J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236 (2020) 967–1087.
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J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236 (2020) 967–1087.
2020 | Journal Article | IST-REx-ID: 7637 |

From weakly interacting particles to a regularised Dean-Kawasaki model
F. Cornalba, T. Shardlow, J. Zimmer, Nonlinearity 33 (2020) 864–891.
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F. Cornalba, T. Shardlow, J. Zimmer, Nonlinearity 33 (2020) 864–891.