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56 Publications
2022 | 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.).
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: 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 | 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: 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: 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 | 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.
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, Institute of Science and Technology Austria, 2021.
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S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.
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.).
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: 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.
2020 | Journal Article | IST-REx-ID: 8697 |
Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model
J.L. Fischer, M. Kniely, Nonlinearity 33 (2020) 5733–5772.
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J.L. Fischer, M. Kniely, Nonlinearity 33 (2020) 5733–5772.
2020 | Journal Article | IST-REx-ID: 9039 |
Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies
J.L. Fischer, T. Laux, T.M. Simon, SIAM Journal on Mathematical Analysis 52 (2020) 6222–6233.
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J.L. Fischer, T. Laux, T.M. Simon, SIAM Journal on Mathematical Analysis 52 (2020) 6222–6233.
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 | Preprint | IST-REx-ID: 10012 |
The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions
J.L. Fischer, S. Hensel, T. Laux, T. Simon, ArXiv (n.d.).
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J.L. Fischer, S. Hensel, T. Laux, T. Simon, ArXiv (n.d.).
2020 | Journal Article | IST-REx-ID: 9196
Modelled distributions of Triebel–Lizorkin type
S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.
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S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.