Results 101 to 110 of about 3,059 (201)
On para-Euler–Lagrange and para-Hamiltonian equations
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On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
wiley +1 more source
Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
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Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
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Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives
This paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
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ABSTRACT In undergraduate engineering education, foundational courses in engineering mechanics pose considerable challenges for students due to the abstract and analytical nature of the subject matter. To enhance learning outcomes and provide immediate, formative feedback, automated STACK assignments incorporating the MECLIB library for parameterized ...
Ulrich Zwiers +2 more
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Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice
ABSTRACT We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Risk‐averse investors (relative risk aversion γ>1$\gamma > 1$) fear return persistence, while risk‐tolerant investors (0<γ<1$0<\gamma <1$) fear mean reversion, when confronting model misspecification concerns of identically and independently distributed (IID)
PASCAL J. MAENHOUT +2 more
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Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
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Parametric Model Order Reduction by Box Clustering With Applications in Mechatronic Systems
ABSTRACT High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high‐fidelity simulations (HFS) are employed during the design process, as they enable a detailed analysis of the thermal and structural behavior of the system.
Juan Angelo Vargas‐Fajardo +4 more
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ON THE STABILITY OF THE GENERAL EULER-LAGRANGE FUNCTIONAL EQUATION
The author solves a stability problem for the general 2-dimensional Euler-Lagrange functional inequality \[ |f(a_1x_1+a_2x_2)+f(a_1x_1-a_2x_2)-(a_1^2+a_2^2)[f(x_1)+f(x_2)]|\leq c \] for all 2-dimensional vectors \((x_1,x_2)\in X^2\), with normed linear space \(X\), a nonnegative constant \(c\) (independent of \(x_1,x_2\)), mapping \(f:X\to Y\), where \(
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