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56 Publications
2021 | Journal Article | IST-REx-ID: 10005 | 
Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” Mathematical Models and Methods in Applied Sciences. World Scientific, 2021. https://doi.org/10.1142/S0218202521500457.
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2021 | Thesis | IST-REx-ID: 10007 |
Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10007.
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2021 | Preprint | IST-REx-ID: 10013 |
Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2108.01733.
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2020 | Journal Article | IST-REx-ID: 7866 |
Fellner, Klemens, and Michael Kniely. “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. Springer Nature, 2020. https://doi.org/10.1007/s41808-020-00068-8.
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2020 | Journal Article | IST-REx-ID: 7637 |
Cornalba, Federico, Tony Shardlow, and Johannes Zimmer. “From Weakly Interacting Particles to a Regularised Dean-Kawasaki Model.” Nonlinearity. IOP Publishing, 2020. https://doi.org/10.1088/1361-6544/ab5174.
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2020 | Journal Article | IST-REx-ID: 8697 |
Fischer, Julian L, and Michael Kniely. “Variance Reduction for Effective Energies of Random Lattices in the Thomas-Fermi-von Weizsäcker Model.” Nonlinearity. IOP Publishing, 2020. https://doi.org/10.1088/1361-6544/ab9728.
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2020 | Journal Article | IST-REx-ID: 9039 |
Fischer, Julian L, Tim Laux, and Theresa M. Simon. “Convergence Rates of the Allen-Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020. https://doi.org/10.1137/20M1322182.
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2020 | Journal Article | IST-REx-ID: 7489 |
Fischer, Julian L, and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Surface Tension.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-019-01486-2.
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2020 | Preprint | IST-REx-ID: 10012 |
Fischer, Julian L, Sebastian Hensel, Tim Laux, and Thilo Simon. “The Local Structure of the Energy Landscape in Multiphase Mean Curvature Flow: Weak-Strong Uniqueness and Stability of Evolutions.” ArXiv, n.d.
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2020 | Journal Article | IST-REx-ID: 9196
Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin Type.” Studia Mathematica. Instytut Matematyczny, 2020. https://doi.org/10.4064/sm180411-11-2.
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2019 | Journal Article | IST-REx-ID: 6617 |
Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.” Archive for Rational Mechanics and Analysis. Springer, 2019. https://doi.org/10.1007/s00205-019-01400-w.
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2019 | Journal Article | IST-REx-ID: 6762 |
Friesecke, Gero, and Michael Kniely. “New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics.” Multiscale Modeling and Simulation. SIAM, 2019. https://doi.org/10.1137/18M1207272.
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2019 | Journal Article | IST-REx-ID: 151 |
Fischer, Julian L, and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.” Journal of Differential Equations. Elsevier, 2019. https://doi.org/10.1016/j.jde.2018.07.045.
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2018 | Journal Article | IST-REx-ID: 404 |
Fischer, Julian L, and Günther Grün. “Existence of Positive Solutions to Stochastic Thin-Film Equations.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018. https://doi.org/10.1137/16M1098796.
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2018 | Journal Article | IST-REx-ID: 606 |
Duerinckx, Mitia, and Julian L Fischer. “Well-Posedness for Mean-Field Evolutions Arising in Superconductivity.” Annales de l’Institut Henri Poincare (C) Non Linear Analysis. Elsevier, 2018. https://doi.org/10.1016/j.anihpc.2017.11.004.
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2017 | Journal Article | IST-REx-ID: 712 |
Fischer, Julian L. “Weak–Strong Uniqueness of Solutions to Entropy Dissipating Reaction–Diffusion Equations.” Nonlinear Analysis: Theory, Methods and Applications. Elsevier, 2017. https://doi.org/10.1016/j.na.2017.03.001.
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