On uniqueness in linear viscoelasticity: a family of counterexamples
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولOn Spatial Behavior in Linear Viscoelasticity
Within the framework of linear viscoelasticity this paper deals with the study of spatial behavior of solutions describing harmonic vibrations in a right cylinder of finite extent. Some exponential decay estimates of Saint–Venant type, in terms of the distance from the excited end of the cylinder are obtained from a first-order differential inequality concerning an appropriate measure associate...
متن کاملA thermodynamic theory of solid viscoelasticity. Part I: Linear viscoelasticity
The present series of three consecutive papers develops a general theory for linear and fmite solid viscoelasticity. Because the most important object for nonlinear studies are rubber-like materials, the general approach is specified in a form convenient for solving problems important for many industries that involve rubber-like materials. General linear and nonlinear theories for non-isotherma...
متن کاملSingular Perturbations in a Non-linear Viscoelasticity
A non-linear equation in viscoelasticity of the form ρuρtt(t, x) = φ(u ρ x(t, x))x + ∫ t −∞ F (t− s)φ(ux(s, x))xds+ ρg(t, x) + f(x), t ≥ 0, x ∈ [0, 1], (0.1) u(t, 0) = u(t, 1) = 0, t ≥ 0, (0.2) u(s, x) = v(s, x), s ≤ 0, x ∈ [0, 1], (0.3) (where φ is non-linear) is studied when the density ρ of the material goes to zero. It will be shown that when ρ ↓ 0, solutions u of the dynamical system (0.1)...
متن کاملOn ACTL Formulas Having Linear Counterexamples
In case an ACTL formula fails over a transition graph M , it is most useful to provide a counterexample, i.e., a computation tree of M witnessing the failure. If there exists a single path in M which by itself witnesses the failure of , then has a linear counterexample. We show that, given M and , where M 6j= , it is NP-hard to determine whether there exists a linear counterexample. Moreover, i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1987
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/895102