Wellbore curvature and torsion greatly influence the forces applied on the downhole pipe string and its consequent deformation. They serve as the bases for calculating the drag and torque of a pipe ...
The study of Lagrangian equations and gradient estimates occupies a critical niche at the intersection of partial differential equations, differential geometry, and variational calculus. Lagrangian ...
Riemannian geometry provides a foundational framework in which the intrinsic properties of smooth manifolds are studied through the lens of metric structures. At its core, this field is dedicated to ...
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