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62 Publications
2021 | Published | 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 | Published | Journal Article | IST-REx-ID: 8792 |
On a non-isothermal Cahn-Hilliard model based on a microforce balance
Marveggio, Alice, On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations 274 (2). 2021
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Marveggio, Alice, On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations 274 (2). 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 | Draft | 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 | Published | 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 | Published | 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 | Published | 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 | Published | Journal Article | IST-REx-ID: 10005 |
On nonlinear problems of parabolic type with implicit constitutive equations involving flux
Bulíček, Miroslav, On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences 31 (09). 2021
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Bulíček, Miroslav, On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences 31 (09). 2021
2021 | Published | 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 | Published | 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 | Published | 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 | Published | 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.
2020 | Published | 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
Fellner, Klemens, Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model. Journal of Elliptic and Parabolic Equations 6. 2020
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Fellner, Klemens, Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model. Journal of Elliptic and Parabolic Equations 6. 2020
2020 | Draft | 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 | Published | Journal Article | IST-REx-ID: 9039 |
Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies
Fischer, Julian L, Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis 52 (6). 2020
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Fischer, Julian L, Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis 52 (6). 2020
2020 | Published | Journal Article | IST-REx-ID: 7489 |
Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension
Fischer, Julian L, Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. Archive for Rational Mechanics and Analysis 236. 2020
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Fischer, Julian L, Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. Archive for Rational Mechanics and Analysis 236. 2020
2019 | Published | Journal Article | IST-REx-ID: 151 |
Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity
J.L. Fischer, O. Kneuss, Journal of Differential Equations 266 (2019) 257–311.
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J.L. Fischer, O. Kneuss, Journal of Differential Equations 266 (2019) 257–311.
2019 | Published | Journal Article | IST-REx-ID: 6762 |
New optimal control problems in density functional theory motivated by photovoltaics
Friesecke, Gero, New optimal control problems in density functional theory motivated by photovoltaics. Multiscale Modeling and Simulation 17 (3). 2019
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Friesecke, Gero, New optimal control problems in density functional theory motivated by photovoltaics. Multiscale Modeling and Simulation 17 (3). 2019
2019 | Published | Journal Article | IST-REx-ID: 6617 |
The choice of representative volumes in the approximation of effective properties of random materials
J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.
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J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.
2018 | Published | Journal Article | IST-REx-ID: 606 |
Well-posedness for mean-field evolutions arising in superconductivity
M. Duerinckx, J.L. Fischer, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 35 (2018) 1267–1319.
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M. Duerinckx, J.L. Fischer, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 35 (2018) 1267–1319.