Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields

DOI10.7153/mia-2022-25-48zbMath1495.35007arXiv2007.15052OpenAlexW4289209322MaRDI QIDQ5094445

Michal Bathory

Publication date: 3 August 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15052

zbMATH Keywords

symmetric positive definitenonlinear gradient estimatetensor fieldlogarithmic convexitymatrix calculus

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Multilinear algebra, tensor calculus (15A69) Matrix exponential and similar functions of matrices (15A16) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Uses Software

• mftoolbox

Cites Work

• A model for viscoelastic fluid behavior which allows non-affine deformation
• Integral representation of the logarithm of matrices and operators
• On the formulation of rheological equations of state
• Functions of Matrices
• Exponential Operators and Parameter Differentiation in Quantum Physics
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