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22 Publications


2021 | Journal Article | IST-REx-ID: 8792 | OA
Marveggio A, Schimperna G. On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations. 2021;274(2):924-970. doi:10.1016/j.jde.2020.10.030
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2021 | Journal Article | IST-REx-ID: 9307 | OA
Hensel S. Finite time extinction for the 1D stochastic porous medium equation with transport noise. Stochastics and Partial Differential Equations: Analysis and Computations. 2021. doi:10.1007/s40072-021-00188-9
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2021 | Journal Article | IST-REx-ID: 9335 | OA
Fischer JL, Matthes D. The waiting time phenomenon in spatially discretized porous medium and thin film equations. SIAM Journal on Numerical Analysis. 2021;59(1):60-87. doi:10.1137/19M1300017
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2021 | Journal Article | IST-REx-ID: 9352 | OA
Fischer JL, Gallistl D, Peterseim D. A priori error analysis of a numerical stochastic homogenization method. SIAM Journal on Numerical Analysis. 2021;59(2):660-674. doi:10.1137/19M1308992
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2021 | Journal Article | IST-REx-ID: 9240 | OA
Cornalba F, Shardlow T, Zimmer J. Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions. Journal of Differential Equations. 2021;284(5):253-283. doi:10.1016/j.jde.2021.02.048
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2021 | Preprint | IST-REx-ID: 10011 | OA
Hensel S, Laux T. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. arXiv.
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2021 | Journal Article | IST-REx-ID: 10005 | OA
Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 2021;31(09). doi:10.1142/S0218202521500457
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2021 | Thesis | IST-REx-ID: 10007 | OA
Hensel S. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. 2021. doi:10.15479/at:ista:10007
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2021 | Preprint | IST-REx-ID: 10013 | OA
Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv.
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2020 | Journal Article | IST-REx-ID: 8697 | OA
Fischer JL, Kniely M. Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model. Nonlinearity. 2020;33(11):5733-5772. doi:10.1088/1361-6544/ab9728
View | Files available | DOI | arXiv
 

2020 | Journal Article | IST-REx-ID: 7637 | OA
Cornalba F, Shardlow T, Zimmer J. From weakly interacting particles to a regularised Dean-Kawasaki model. Nonlinearity. 2020;33(2):864-891. doi:10.1088/1361-6544/ab5174
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2020 | Journal Article | IST-REx-ID: 7866 | OA
Fellner K, Kniely M. 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. 2020;6:529-598. doi:10.1007/s41808-020-00068-8
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2020 | Journal Article | IST-REx-ID: 9039 | OA
Fischer JL, Laux T, Simon TM. Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis. 2020;52(6):6222-6233. doi:10.1137/20M1322182
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2020 | Journal Article | IST-REx-ID: 9196
Hensel S, Rosati T. Modelled distributions of Triebel–Lizorkin type. Studia Mathematica. 2020;252(3):251-297. doi:10.4064/sm180411-11-2
View | DOI | arXiv
 

2020 | Journal Article | IST-REx-ID: 7489 | OA
Fischer JL, Hensel S. Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension. Archive for Rational Mechanics and Analysis. 2020;236:967-1087. doi:10.1007/s00205-019-01486-2
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2020 | Preprint | IST-REx-ID: 10012 | OA
Fischer JL, Hensel S, Laux T, Simon T. The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions. arXiv.
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2019 | Journal Article | IST-REx-ID: 6617 | OA
Fischer JL. The choice of representative volumes in the approximation of effective properties of random materials. Archive for Rational Mechanics and Analysis. 2019;234(2):635–726. doi:10.1007/s00205-019-01400-w
View | Files available | DOI | arXiv
 

2019 | Journal Article | IST-REx-ID: 6762 | OA
Friesecke G, Kniely M. New optimal control problems in density functional theory motivated by photovoltaics. Multiscale Modeling and Simulation. 2019;17(3):926-947. doi:10.1137/18M1207272
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2019 | Journal Article | IST-REx-ID: 151 | OA
Fischer JL, Kneuss O. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. 2019;266(1):257-311. doi:10.1016/j.jde.2018.07.045
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2018 | Journal Article | IST-REx-ID: 606 | OA
Duerinckx M, Fischer JL. Well-posedness for mean-field evolutions arising in superconductivity. Annales de l’Institut Henri Poincare (C) Non Linear Analysis. 2018;35(5):1267-1319. doi:10.1016/j.anihpc.2017.11.004
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