Results 91 to 100 of about 1,716 (212)
Electronic Journal of Differential Equations, 2009 We investigate the asymptotic properties as $to infty$ of the differential equation $$ ddot{x}(t)+a(t)dot{x}(t)+ abla G(x(t))=0, quad tgeq 0 $$ where $x(cdot)$ is $mathbb{R}$-valued, the map $a:mathbb{R}_+o mathbb{R}_+$ is non increasing, and $G ...
Alexandre Cabot +2 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley +1 more source
Extremal solutions of a class of dynamic boundary hemivariational inequalities
Journal of Inequalities and Applications, 2002 In this paper we consider a semilinear initial boundary value problem in a bounded cylindrical domain under flux conditions described by Clarke's generalized gradient of some locally Lipschitz function .
Gilbert RP, Carl Siegfried
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Set-Point Control and Local Stability for Flat Nonlinear Systems Using Model-Following Control
IEEE Open Journal of Control SystemsWe consider the set-point control problem for nonlinear systems with flat output that are subject to perturbations. The nonlinear dynamics as well as the perturbations are locally Lipschitz.
Julian Willkomm, Kai Wulff, Johann Reger
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
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Instantaneous blow-up of semilinear non-autonomous equations with fractional diffusion
Electronic Journal of Differential Equations, 2017 We consider the Cauchy initial value problem $$\displaylines{ \frac{\partial }{\partial t}u(t,x) =k(t)\Delta _{\alpha}u(t,x)+h(t)f(u(t,x)), \cr u(0,x) = u_0(x), }$$ where $\Delta _{\alpha }$ is the fractional Laplacian for ...
Jose Villa-Morales
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Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
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On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb +3 more
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Attention-Based Multi-Objective Control for Morphing Aircraft
BiomimeticsThis paper proposes a learning-based joint morphing and flight control framework for avian-inspired morphing aircraft. Firstly, a novel multi-objective multi-phase optimal control problem is formulated to synthesize the comprehensive flight missions ...
Qien Fu, Changyin Sun
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We present a numerical study of a weakly symmetric dual‐mixed finite element method for the Stokes source problem, in which the Cauchy stress is the primary unknown and its symmetry is imposed weakly through a vorticity Lagrange multiplier. Viewing the scheme as the incompressible limit of the reduced‐symmetry mixed elasticity framework, we ...
Fleurianne Bertrand, Tugay Dağlı
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