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pro vyhledávání: '"Rodriguez, Casey"'
Autor:
Rodriguez, Casey
Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded stresses and strains at the c
Externí odkaz:
http://arxiv.org/abs/2301.13744
Autor:
Rajagopal, K. R., Rodriguez, Casey
Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exact strains and the components of the contact force and contact couple,
Externí odkaz:
http://arxiv.org/abs/2205.10875
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 general objective derivative. The studied system generalizes the incompress
Externí odkaz:
http://arxiv.org/abs/2204.00378
Autor:
Rajagopal, K. R., Rodriguez, Casey
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 describing quasistatic motion of an Eulerian strut, an infinite dimen
Externí odkaz:
http://arxiv.org/abs/2201.10046
Autor:
Rodriguez, Casey
In this paper, we initiate the study of wave propagation in a recently proposed mathematical model for stretch-limited elastic strings. We consider the longitudinal motion of a simple class of uniform, semi-infinite, stretch-limited strings under no
Externí odkaz:
http://arxiv.org/abs/2102.07600
Autor:
Rodriguez, Casey
Motivated by the increased interest in modeling nondissipative materials by constitutive relations more general than those from Cauchy elasticity, we initiate the study of a class of stretch-limited elastic strings: the string cannot be compressed sm
Externí odkaz:
http://arxiv.org/abs/2012.00602
In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in arXiv:1708.06255, which provided a causal and stable first-order theory of relativistic fluids with viscosity. The local well-posedness of its equat
Externí odkaz:
http://arxiv.org/abs/1911.02504
We study energy critical one-equivariant wave maps taking values in the two-sphere. It is known that any finite energy wave map that develops a singularity does so by concentrating the energy of (possibly) several copies of the ground state harmonic
Externí odkaz:
http://arxiv.org/abs/1908.08512
Autor:
Rodriguez, Casey
Publikováno v:
Analysis & PDE 14 (2021) 2123-2161
We study the dynamics of corotational wave maps from $\mathbb R^{1+2} \rightarrow \mathbb S^2$ at threshold energy. It is known that topologically trivial wave maps with energy $< 8\pi$ are global and scatter to a constant map. In this work, we prove
Externí odkaz:
http://arxiv.org/abs/1809.01745
Autor:
Lawrie, Andrew, Rodriguez, Casey
We study a semi-linear version of the Skyrme system due to Adkins and Nappi. The objects in this system are maps from $(1+3)$-dimensional Minkowski space into the $3$-sphere and 1-forms on $\mathbb{R}^{1+3}$, coupled via a Lagrangian action. Under a
Externí odkaz:
http://arxiv.org/abs/1703.07900