NONLINEAR PDE & CALCULUS OF VARIATIONS
All preprints are available on the ArXiv too. For some of the papers, talk slides are attached for a quick overview.
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On Hibler's sea ice model in the singular limit. w/ R Denk & M Hieber
Preprint (Nov 2025, 54 pp.) available here.
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Curl-measure fields, the generalized Stokes theorem and vorticity fluxes. w/ G-Q Chen & M Torres
Preprint (Sep 2025, 78 pp.) available here.
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Action-Driven Flows for Causal Variational Principles. w/ F Finster
Preprint (Mar 2024, 27 pp.) available here.
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Rate-Form Equilibrium for an Isotropic Cauchy-Elastic Formulation. Part I: Modeling. w/ Th. Blesgen, S. Holthausen, N. Husemann & P Neff
(J. Nonlinear Science, link to published version), Preprint (Apr 2025, 32 pp.) available here.
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On a Nitsche method for incompressible fluids with dynamic boundary conditions. w/ P Gazca, E Maringová & T
Tscherpel
Preprint (Feb 2025, 58 pp.) available here.
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Gradient integrability for bounded BD-minimizers. w/ L Beck & F Eitler
(Arch. Ration. Mech. Anal., to appear), Preprint (Dec 2024, 32 pp.) available here.
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𝔸-harmonic approximation and partial regularity, revisited. w/ M Bärlin, C Irving & J Kristensen
(U Parma Rev Mat), Preprint (Dec 2022, 18 pp.) available here.
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Quasiconvex functionals of (p,q)-growth and the partial regularity of relaxed minimizers. w/ J Kristensen
(Arch. Ration. Mech. Anal., link to published version, Sep 2022, 90 pp.) available here.
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On symmetric div-quasiconvex hulls and divsym-free L^∞-truncations. w/ L Behn & S Schiffer
(Ann. Inst. Henri Poincaré (C), link to published version), Preprint (Aug 2021, 40 pp.) available here.
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Sharp trace and Korn inequalities for differential operators. w/ L Diening
(Potential Analysis, link to published version), Preprint (May 2021, 48 pp.) available here. For an overview talk, click here.
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𝒜-quasiconvexity and partial regularity. w/ S Conti
(Calc. Var. PDE, link to published version). Preprint (Sep 2020, 24 pp.) available here.
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The regularity of minima for the Dirichlet problem on BD.
(Arch. Ration. Mech. Anal., link to published version). Preprint (Aug 2019, v2, 54 pp.) available here.
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Partial regularity for symmetric quasiconvex functionals on BD.
(J. Math. Pures Appl., link to published version) Preprint (Mar 2019, v1, Oct 2019, v2, 40 pp.) available here.
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Regularity for higher order quasiconvex problems with linear growth from below. w/ J Kristensen
Preprint (Mar 2019, 5 pp.) available here.
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Partial Regularity for BV minimizers. w/ J Kristensen
(Arch. Ration. Mech. Anal., link to published version). Preprint (Mar 2018) available here. For an overview talk, click here.
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Electrorheological fluids under random influences w/ D Breit
(Stochastics and PDEs: Analysis and Computations, link to published version). Preprint (Mar 2018) available here.
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On a Neumann problem for functionals with linear growth. w/ M Bulicek & L Beck
(Annali della Scuola Normale Superiore (Pisa)). Preprint (Jan 2018) available here. For an overview talk, click here.
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On traces for functions of bounded 𝔸-variation. w/ D Breit & L Diening
(Analysis & PDE, link to published version). Preprint (Jul 2017) available here. For an overview talk, click here.
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Sobolev regularity for convex functionals on BD. w/ J Kristensen
(Calc. Var. PDE, link to published version). Preprint (Mar 2018) available here.
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On the singular set of generalised minimisers.
(OxPDE technical report 16.03). Preprint (Oct 2016) available here.
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Symmetric-convex functionals of linear growth
(J. Ell. Parab. Equations, 2016). Preprint (Sep 2016) available here.