Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Slemrod, Marshall"'
A vector field similar to those separately introduced by Artstein and Dafermos is constructed from the tangent to a monotone increasing one-parameter family of non-concentric circles that touch at the common point of intersection taken as the origin.
Externí odkaz:
http://arxiv.org/abs/2409.07954
This paper provides a new admissibility criterion for choosing physically relevant weak solutions of the equations of Lagrangian and continuum mechanics when non-uniqueness of solutions to the initial value problem occurs. The criterion is motivated
Externí odkaz:
http://arxiv.org/abs/2409.07191
Publikováno v:
Quarterly of Applied Mathematics 82 (2024), 535-561
Examples of dynamical systems proposed by Z. Artstein and C. M. Dafermos admit non-unique solutions that track a one parameter family of closed circular orbits contiguous at a single point. Switching between orbits at this single point produces an in
Externí odkaz:
http://arxiv.org/abs/2301.09122
Autor:
Acharya, Amit, Slemrod, Marshall
This paper examines a system of partial differential equations describing dislocation dynamics in a crystalline solid. In particular we consider dynamics linearized about a state of zero stress and use linear semigroup theory to establish existence,
Externí odkaz:
http://arxiv.org/abs/2208.09681
Intrinsic nonlinear elasticity deals with the deformations of elastic bodies as isometric immersions of Riemannian manifolds into the Euclidean spaces (see Ciarlet [9,10]). In this paper, we study the rigidity and continuity properties of elastic bod
Externí odkaz:
http://arxiv.org/abs/2104.01499
Autor:
Li, Siran, Slemrod, Marshall
Direct linkages between regular or irregular isometric embeddings of surfaces and steady compressible or incompressible fluid dynamics are investigated in this paper. For a surface $(M,g)$ isometrically embedded in $\mathbb{R}^3$, we construct a mapp
Externí odkaz:
http://arxiv.org/abs/1811.01505
Publikováno v:
In Journal de mathématiques pures et appliquées April 2022 160:29-53
Publikováno v:
Quarterly of Applied Mathematics; Sep2024, Vol. 82 Issue 3, p535-561, 27p
A theory for the evolution of a metric $g$ driven by the equations of three-dimensional continuum mechanics is developed. This metric in turn allows for the local existence of an evolving three-dimensional Riemannian manifold immersed in the six-dime
Externí odkaz:
http://arxiv.org/abs/1612.08757
We are concerned with underlying connections between fluids, elasticity, isometric embedding of Riemannian manifolds, and the existence of wrinkled solutions of the associated nonlinear partial differential equations. In this paper, we develop such c
Externí odkaz:
http://arxiv.org/abs/1605.03058