Peter Lewintan

Research interests

PDE
Korn inequalities
nonlinear elasticity theory
minimizing cones

Publications

P. Lewintan, L. Theisen, M. Torrilhon: Well-Posedness of the R13 equations using tensor-valued Korn inequalities. arXiv Preprint 2501.14108
A. Sky, M. Neunteufel, P. Lewintan, P. Gourgiotis, A. Zilian, P. Neff: Novel H^dev (Curl)-conforming elements on regular triangulations and Clough-Tocher splits for the planar relaxed micromorphic model, (2025).
M.V. d’Agostino, R. J. Martin, P. Lewintan, D. Bernardini, A. Danescu, P. Neff: On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models, Math. Mech. Solids (2025). doi:10.1177/10812865241288797
P. Lewintan, P. Stephan: Constant rank operators in Korn-Maxwell-Sobolev inequalities. arXiv Preprint: 2412.14866 [math.AP]
F. Gmeineder, P. Lewintan, J. Van Schaftingen: Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities. arXiv Preprint: 2405.10349. [math.AP]
J. Voss, P. Gourgiotis, P. Lewintan, A. Sky, P. Neff: Yet another best approximation isotropic elasticity tensor in plane strain, Math. Mech. Complex Syst. 12 (2024), no. 4, pp. 547-571. doi: 10.2140/memocs.2024.12.547
M. Sarhil, L. Scheunemann, P. Lewintan, J. Schröder, P. Neff: A computational approach to identify the material parameters of the relaxed micromorphic mode, Comput. Methods Appl. Mech. Engrg. 425 (2024), 116944. doi: 10.1016/j.cma.2024.116944
F. Gmeineder, P. Lewintan, P. Neff: Korn-Maxwell-Sobolev inequalities for general incompatibilities, Math. Models Methods Appl. Sci. (M³AS) 34, 03 (2024), 523-570, doi: 10.1142/S0218202524500088, arXiv:2212.13227 [math.AP]
P. Gourgiotis, G. Rizzi, P. Lewintan, D. Bernardini, A. Sky, A. Madeo, P. Neff: Green’s functions for the isotropic planar relaxed micromorphic model – concentrated force and concentrated couple, International Journal of Solids and Structures 292 (2024), 112700. doi: 10.1016/j.ijsolstr.2024.112700
A. Sky, M. Neunteufel, P. Lewintan, A. Zilian, P. Neff: Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence, Comput. Methods Appl. Mech. Engrg. 418 Part A (2024), 116494. doi: 10.1016/j.cma.2023.116494
I.-D. Ghiba, P. Lewintan, A. Sky, P. Neff: An essay on deformation measures in isotropic thin shell theories. Bending versus curvature, Math. Mech. Solids (2024). doi:10.1177/10812865241269725
F. Gmeineder, P. Lewintan, P. Neff: Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions, Calc. Var. PDE 62, 182 (2023). pdf, doi: 10.1007/s00526-023-02522-6 , arXiv:2206.10373 [math.AP]
M.V. d’Agostino, G. Rizzi, H. Khan, P. Lewintan, A. Madeo, P. Neff: The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters, Continuum Mech. Thermodyn. 34 (2022), 1393–1431. pdf, doi: 10.1007/s00161-022-01126-3, arXiv:2112.12050 [math.AP]
P. Lewintan, P. Neff: L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), 1477-1508. pdf, doi: 10.1017/prm.2021.62, arXiv:2004.05981[math.AP]
P. Lewintan, S. Müller, P. Neff: Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy, Calc. Var. PDE 60, 150 (2021). pdf, doi: 10.1007/s00526-021-02000-x, arXiv:2011.10573 [math.AP]
P. Lewintan: Matrix representation of a cross product and related curl-based differential operators in all space dimensions, Open Mathematics 19 (2021), No. 1, 1330–1348. pdf, doi: 10.1515/math-2021-0115, hal-03233545
F. Bozorgnia, P. Lewintan: Decay estimates for solutions of evolutionary damped p-Laplace equations, Electron. J. Differential Equations (2021), No. 73, 1–9. pdf, url, arXiv:1905.03597 [math.AP]
P. Lewintan, P. Neff: L^p -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions, Z. Angew. Math. Phys. (ZAMP) 72, 127 (2021). pdf, doi: 10.1007/s00033-021-01550-6, hal-02967603
I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: A constrained Cosserat shell model up to order O(h⁵): Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor, J Elast 146 (2021), 83–141, doi: 10.1007/s10659-021-09851-7, arXiv:2010.1430[math.AP]
P. Lewintan, P. Neff: L^p -versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivative, C.R., Math. 359, 6 (2021); 749-755. pdf, doi: 10.5802/crmath.216, arXiv:1912.11551[math.AP]
P. Lewintan, P. Neff: Nečas-Lions lemma revisited: An L^p -version of the generalized Korn inequality for incompatible tensor fields, Math. Meth. Appl. Sci. 44 (2021); 11392-11403. pdf, doi:10.1002/mma.7498, arXiv:1912.08447[math.AP]
M. M. Saem, P. Lewintan, P. Neff: On in-plane drill rotations for Cosserat surfaces, Proc. R. Soc. A 477: 20210158 (2021), doi: 10.1098/rspa.2021.0158, arXiv:2102.10356 [math.DG]
I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: The isotropic Cosserat shell model including terms up to O(h⁵). Part II: Existence of minimizers, J Elast 142 (2020), 263–290, doi: 10.1007/s10659-020-09795-4, arXiv:2003.08594[math.AP]
I.-D. Ghiba, M. Bîrsan, P. Lewintan, P. Neff: The isotropic Cosserat shell model including terms up to O(h⁵). Part I: Derivation in matrix notation, J Elast 142 (2020), 201–262, doi: 10.1007/s10659-020-09796-3, arXiv:2003.00549[math-ph]
P. Lewintan: On α-minimizing hypercones, Rend. Sem. Mat. Univ. Padova 143 (2020), 227–246. doi: 10.4171/RSMUP/45, arXiv: 1901.06872[math.DG]
S. Eberle, P. Lewintan: Ein Vorschlag zur konsistenten Einführung der Ableitung mit der Zoom-in-Methode. Math. Semesterber. 66 (2019), no. 2, 203–217. pdf, doi: 10.1007/s00591-019-00250-7
P. Lewintan: Geometric Calculus of the Gauss Map. Adv. Appl. Clifford Algebras 27 (2017), no. 1, 503–521. pdf, doi: 10.1007/s00006-016-0727-1
P. Lewintan: On Bernstein-type theorems. In: J. van der Veken et al. (eds.), Pure and Applied Differential Geometry - PADGE 2012, In memory of Franki Dillen. Shaker Verlag, 2013, 168–174. pdf
P. Lewintan: The ”Wrong Minimal Surface Equation” does not have the Bernstein property. Analysis 31 (2011), no. 4, 299–303. pdf, doi: 10.1524/anly.2011.1137