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math-ph2022
On an elastic strain-limiting special Cosserat rod model
K. R. Rajagopal, Casey Rodriguez
Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exa…
math.AP2022
Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion
Miroslav Bulíček, Josef Málek, Casey Rodriguez
We consider the system of partial differential equations governing two-dimensional flows of a robust class of viscoelastic rate-type fluids with stress diffusion, involving a gener…
math-ph2022
On evolving natural curvature for an inextensible, unshearable, viscoelastic rod
K. R. Rajagopal, Casey Rodriguez
We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural configuration, moving on a plane. We prove that the dynamic equations…