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pro vyhledávání: '"74H25"'
Autor:
Akian, Jean-Luc
In this paper we establish that the time-harmonic elasticity problem in a half-strip with non-homogeneous Dirichlet conditions on its boundary section and traction-free conditions on its upper and lower boundaries, has a unique weak solution when thi
Externí odkaz:
http://arxiv.org/abs/2206.11012
Painlev\'e showed that there can be inconsistency and indeterminacy in solutions to the equations of motion of a 2D rigid body moving on a sufficiently rough surface. The study of Painlev\'e paradoxes in 3D has received far less attention. In this pa
Externí odkaz:
http://arxiv.org/abs/2110.14324
Autor:
Yuan, Baoquan, Xiao, Yamin
In this paper, we study the Cauchy problem of the 2D incompressible magnetohydrodynamic equations in Lei-Lin space. The global well-posedness of a strong solution in the Lei-Lin space $\chi^{-1}(\mathbb{R}^2)$ with any initial data in $\chi^{-1}(\mat
Externí odkaz:
http://arxiv.org/abs/2006.15372
In this paper, we present the result of maximum regularity of the mild solution of the fractional Cauchy problem. As our main result, we investigate the uniqueness of mild solutions for time-fractional Navier-Stokes equations in class $C\left([0,\inf
Externí odkaz:
http://arxiv.org/abs/1907.06587
Autor:
Riva, Filippo, Nardini, Lorenzo
Publikováno v:
Journal of Evolution Equations (2020)
In this paper we analyse a one-dimensional debonding model for a thin film peeled from a substrate when viscosity is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffi
Externí odkaz:
http://arxiv.org/abs/1810.12006
An initial-boundary value problem for a viscoelastic wave equation subject to a strong time-localized delay in a Kelvin & Voigt-type material law is considered. Transforming the equation to an abstract Cauchy problem on the extended phase space, a gl
Externí odkaz:
http://arxiv.org/abs/1810.02931
For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable hyperbolic one in order to
Externí odkaz:
http://arxiv.org/abs/1808.08382
Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction
Autor:
Pipping, Elias
We establish existence of long-time solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate-and-state friction. The term rate-and-state friction is used here to refer to a set of functions
Externí odkaz:
http://arxiv.org/abs/1703.04289
Akademický článek
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Publikováno v:
Math. Models Methods Appl. Sci., 25 (2015) pp. 2749--2793
In this work we investigate a phase field model for damage processes in two-dimensional viscoelastic media with nonhomogeneous Neumann data describing external boundary forces. In the first part we establish global-in-time existence, uniqueness, a pr
Externí odkaz:
http://arxiv.org/abs/1502.02952