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math.AP2026
Some Preliminary Considerations on Energy Behavior in Fluid Dynamics
Thomas Ruf
This work presents a tentative discussion of certain aspects of energy behavior in the context of mathematical fluid dynamics. While some observations are made regarding certain pa…
math.AP2025
A Rough Divergence Theorem
Thomas Ruf
A generalized divergence theorem is established allowing for domains with inner boundaries. The normal trace of a rough integrand is not a Radon measure; rather, the boundary integ…
math.AP2024★ 1 cited
Orlicz-type Function Spaces and Generalized Gradient Flows with Degenerate Dissipation Potentials in Non-Reflexive Banach Spaces: Theory and Application
Thomas Ruf
This thesis explores two important areas in the mathematical analysis of nonlinear partial differential equations: Generalized gradient flows and vector valued Orlicz spaces. The f…