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math.AP2026
Well-Posedness of the Linear Regularized 13-Moment Equations Using Tensor-Valued Korn Inequalities
Peter Lewintan, Lambert Theisen, Manuel Torrilhon
In this paper, we finally prove the well-posedness of the linearized R13 moment model, which describes, e.g., rarefied gas flows. As an extension of the classical fluid equations,…
math.AP2025
On -Minimisers in two Dimensions
Ferdinand Eitler, Peter Lewintan
We investigate into the regularity of -minimisers for -elliptic differential operators in dimensions. Our studies strongly re…
math.AP2024
Constant rank operators in Korn-Maxwell-Sobolev inequalities
Peter Lewintan, Paul Stephan
We focus on Korn-Maxwell-Sobolev inequalities for operators of reduced constant rank. These inequalities take the form \[ \|P - Î _{\mathbb{B}} Î _{\ker\mathscr{A}} P\|_{\dot{\math…