My Research interests are in mathematical problems inspired from physical applications, ranging from fluid dynamics to pattern formation, optimal transportation and material science, using tools from PDEs, calculus of variations and geometric measure theory.

Publications and Preprints

  1. S. Daneri and E. Runa A rigorous approach to pattern formation for isotropic isoperimetric problems with competing nonlocal interactions, ArXiv:2406.13773, bibtex
  2. S. Daneri and E. Runa Periodic striped configurations in the large volume limit, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2023), ArXiv:2110.09914, bibtex
  3. S. Daneri and E. Radici and E. Runa Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility, J. Hyperbolic Differ. Equ. 20.3 707—744 (2023), ArXiv:2209.10884, bibtex
  4. S. Bianchini and S. Daneri On the sticky particle solutions to the multi-dimensional pressureless Euler equations, J. Differ. Equations 368 173—202 (2023), ArXiv:2004.06557, bibtex
  5. S. Daneri and A. Kerschbaum and E. Runa One-dimensionality of the minimizers for a diffuse interface generalized antiferromagnetic model in general dimension, J. Funct. Anal. 283.12 53 (2022), ArXiv:2104.01676, bibtex
  6. S. Daneri and E. Radici and E. Runa Deterministic particle approximation of aggregation-diffusion equations on unbounded domains, J. Differ. Equations 312 474—517 (2022), ArXiv:2012.01966, bibtex
  7. S. Daneri and E. Runa One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension, Calc. Var. Partial Differ. Equ. 61.1 31 (2022), ArXiv:2004.06557, bibtex
  8. S. Daneri and E. Runa Exact periodic stripes for a local/nonlocal minimization problem with volume constraint, ArXiv:2106.08135, bibtex
  9. S. Daneri and E. Runa and L. Székelyhidi Non-uniqueness for the Euler equations up to Onsager's critical exponent, Ann. PDE 7.1 44 (2021), ArXiv:2004.00391, bibtex
  10. S. Daneri and E. Runa Pattern formation for a local/nonlocal interaction functional arising in colloidal systems, SIAM J. Math. Anal. 52.3 2531—2560 (2020), ArXiv:1810.11884, bibtex
  11. E. Facca and S. Daneri and F. Cardin and M. Putti Numerical solution of Monge-Kantorovich equations via a dynamic formulation, J. Sci. Comput. 82.3 26 (2020), ArXiv:1709.06765, bibtex
  12. S. Daneri and E. Runa Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension, Arch. Ration. Mech. Anal. 231.1 519—589 (2019), ArXiv:1702.07334, bibtex
  13. S. Bianchini and S. Daneri On Sudakov's type decomposition of transference plans with norm costs, ArXiv:1311.1918, bibtex
  14. S. Daneri and L. Székelyhidi Non-uniqueness and h-principle for Hölder-continuous weak solutions of the Euler equations, Arch. Ration. Mech. Anal. 224.2 471—514 (2017), ArXiv:2004.00391, bibtex
  15. S. Daneri and A. Pratelli A planar bi-Lipschitz extension theorem, Adv. Calc. Var. 8.3 221—266 (2015), ArXiv:1110.6124, bibtex
  16. S. Daneri and A. Pratelli Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31.3 567—589 (2014), ArXiv:1106.1192, bibtex
  17. S. Daneri Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations, Commun. Math. Phys. 329.2 745—786 (2014), ArXiv:1302.0988, bibtex
  18. L. Caravenna and S. Daneri The disintegration of the Lebesgue measure on the faces of a convex function, J. Funct. Anal. 258.11 3604—3661 (2010), CVGMT, bibtex
  19. S. Daneri and G. Savaré Eulerian calculus for the displacement convexity in the Wasserstein distance, SIAM J. Math. Anal. 40.3 1104—1122 (2008), ArXiv:0801.2455, bibtex

Lecture Notes and Proceedings

  1. S. Daneri and E. Runa On non-uniqueness below Onsager's critical exponent, Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25--29, 2018 164—174 (2020), bibtex
  2. S. Daneri and E. Runa On the symmetry breaking and structure of the minimizers for a family of local/nonlocal interaction functionals, Rend. Semin. Mat., Univ. Politec. Torino 77.2 33—48 (2019), bibtex
  3. S. Daneri and G. Savaré Lecture notes on gradient flows and optimal transport, Optimal transport. Theory and applications. Proceedings of the summer school `Optimal transportation: theory and applications', Fourier Institute, Grenoble, France 100—144 (2014), bibtex
  4. S. Daneri and A. Figalli Variational models for the incompressible Euler equations, AIMS Ser. Appl. Math. (2013), CVGMT, bibtex