Results 111 to 120 of about 18,923 (199)

Euler-lagrange equation for a delay variational problem

, 2016
We establish Euler-Lagrange equations for a problem of Calculus of variations where the unknown variable contains a term of delay on a ...
Mamadou I. Koné, Koné, Mamadou Ibrahima, Blot, Joël, Blot Joël, Koné Mamadou I., Joël Blot   +5 more
core   +1 more source

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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, Robert Lasarzik, Marita Thomas   +2 more
wiley   +1 more source

Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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
wiley   +1 more source

Lagrangian formulation of electromagnetic fields in nondispersive medium by means of the extended Euler-Lagrange differential equation

, 2008
This work is concerned with the Lagrangian formulation of electromagnetic fields. Here, the extended Euler-Lagrange differential equation for continuous, nondispersive media is employed.
Civelek, C., Civelek, Cem, Bechteler, T.F., Bechteler, Thomas Franz   +3 more
core   +1 more source

Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives

Fractal and Fractional
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
doaj   +1 more source

Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober‐Blöbaum, Rodrigo T. Sato Martin de Almagro   +4 more
wiley   +1 more source

Addressing Common Learning Obstacles in Mechanics Through Automated STACK Assignments: An Experience Report

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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, Mirko Siegert, Patrick Kogelheide   +2 more
wiley   +1 more source

Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice

The Journal of Finance, Volume 81, Issue 3, Page 1741-1795, June 2026.
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, HAO XING, ANNE G. BALTER   +2 more
wiley   +1 more source

The Higher Integrability and the Validity of the Euler-Lagrange Equation for Solutions to Variational Problems

, 2012
International audienceWe prove higher integrability properties of solutions to the problem of minimizing $\int_{\Omega}L(x,u(x),\nabla u(x))\rm{ d}x,$ where $\xi\mapsto L(x,u,\xi)$ is a convex function satisfying some additional conditions.
Mazzola, Marco, Bonfanti, Giovanni, Cellina, Arrigo   +2 more
core   +1 more source

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
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, David Krejčiřík, Gloria Paoli   +2 more
wiley   +1 more source