Existence results for the higher order linear Cosserat shell model
نویسندگان
چکیده
We derive the linear elastic Cosserat shell model of order O(h5) in thickness h. To this aim, we linearise geometrically nonlinear established previously. Using Korn-type inequalities for shells, coercivity energy functional and Lax-Milgram theorem, prove existence uniqueness weak solutions to equilibrium equations.
منابع مشابه
Existence and Non Existence of Solitons for a 1d Benney-luke Model of Higher Order
We shall establish the existence and non existence of solitons (travelling waves of finite energy) for a Benney-Luke equation of higher order, which includes models for long water waves with small amplitude. Following a variational approach, solitons are characterized as critical points of the action functional. Existence of solitons follows by the ConcentrationCompactness principle by P.-L. Li...
متن کاملExistence and uniqueness results for a nonlinear differential equations of arbitrary order
This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.
متن کاملNew existence results for a coupled system of nonlinear differential equations of arbitrary order
This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established using Banach fixed point theorem. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.
متن کاملEs: A shell with higher-order functions
In the fall of 1990, one of us (Rakitzis) re-implemented the Plan 9 command interpreter, rc, for use as a UNIX shell. Experience with that shell led us to wonder whether a more general approach to the design of shells was possible, and this paper describes the result of that experimentation. We applied concepts from modern functional programming languages, such as Scheme and ML, to shells, whic...
متن کاملExistence results for higher order fractional differential inclusions with multi-strip fractional integral boundary conditions
This paper investigates the existence of solutions for higher order fractional differential inclusions with fractional integral boundary conditions involving nonintersecting finite many strips of arbitrary length. Our study includes the cases when the right-hand side of the inclusion has convex as well non-convex values. Some standard fixed point theorems for multivalued maps are applied to est...
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: Proceedings in applied mathematics & mechanics
سال: 2023
ISSN: ['1617-7061']
DOI: https://doi.org/10.1002/pamm.202200030