Automated shape and thickness optimization for non-matching isogeometric shells using free-form deformation [PDF]
Engineering computations, 2023 Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing non-uniform rational B ...
H. Zhao +6 more
semanticscholar +1 more source
Global and local reduced models for interacting, heterogeneous agents. [PDF]
Chaos, 2021 Large collections of coupled, heterogeneous agents can manifest complex dynamical behavior presenting difficulties for simulation and analysis. However, if the collective dynamics lie on a low-dimensional manifold, then the original agent-based model may
Thomas Thiem +19 more
semanticscholar +1 more source
Analysis of dynamical behaviour of full-floating disk thrust bearings
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 . Full-floating ring bearings are state of the art at high speed turbomachinery shafts like in turbochargers. Their main feature is an additional ring between shaft and housing leading to two fluid films in serial arrangement.
Otto-von-Guericke Institute of Mechanics Otto-von-Guericke Steffen NITZSCHKE Institute of Mechanics +2 more
semanticscholar +1 more source
A First-order Two-scale Analysis for Contact Problems with Small Periodic Configurations [PDF]
, 2019 This paper is devoted to studying a type of contact problems modeled by hemivariational inequalities with small periodic coefficients appearing in PDEs, and the PDEs we considered are linear, second order and uniformly elliptic. Under the assumptions, it
Changqing Ye +8 more
semanticscholar +1 more source
On the one-dimensional cubic nonlinear Schrodinger equation below L^2 [PDF]
, 2010 In this paper, we review several recent results concerning well-posedness of the one-dimensional, cubic Nonlinear Schrodinger equation (NLS) on the real line R and on the circle T for solutions below the L^2-threshold. We point out common results for NLS
Oh, Tadahiro, Sulem, Catherine
core +2 more sources
Comparing the stochastic nonlinear wave and heat equations: a case study [PDF]
, 2020 We study the two-dimensional stochastic nonlinear wave equation (SNLW) and stochastic nonlinear heat equation (SNLH) with a quadratic nonlinearity, forced by a fractional derivative (of order $\alpha > 0$) of a space-time white noise.
Oh, Tadahiro, Okamoto, Mamoru
core +2 more sources
The Painleve Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients [PDF]
, 2006 The general KdV equation (gKdV) derived by T. Chou is one of the famous (1+1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable.
Kobayashi, Tadashi, Toda, Kouichi
core +1 more source
On a Whitham-Type Equation [PDF]
, 2009 The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained ...
Sakovich, Sergei
core +5 more sources
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials [PDF]
, 2018 The paper arXiv:1804.11290 contains well-posedness and regularity results for a system of evolutionary operator equations having the structure of a Cahn-Hilliard system.
Colli, Pierluigi +2 more
core +3 more sources
Lie symmetries of a third order PDE system [PDF]
arXiv, 2021 In this paper we show that a third order PDE system that is a general form of a CR-geometry PDE system has at most a ten-dimensional Lie symmetry algebra. We also show that this estimate is precise.
arxiv