Results 71 to 80 of about 3,263,025 (375)
The massive Thirring system in the quarter plane [PDF]
, 2018 The unified transform method (UTM) for analyzing initial-boundary value (IBV) problems provides an important generalization of the inverse scattering transform (IST) method for analyzing initial value problems. In comparison with the IST, a major difficulty of the implementation of the UTM in general is the involvement of unknown boundary values.
arxiv +1 more source
On the initial value problem for higher dimensional Camassa-Holm equations
, 2014 This paper is concerned with the the initial value problem for higher dimensional Camassa-Holm equations. Firstly, the local well-posedness for this equations in both supercritical and critical Besov spaces are established.
Kai Yan, Z. Yin
semanticscholar +1 more source
Performance analysis of control allocation using data‐driven integral quadratic constraints
Advanced Control for Applications, Volume 4, Issue 4, December 2022., 2022 Abstract A new method is presented for evaluating the performance of a nonlinear control allocation system within a linear control loop. To that end, a worst‐case gain analysis problem is formulated that can be readily solved by means of well‐established methods from robustness analysis using integral quadratic constraints (IQCs).
Manuel Pusch +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView., 2023 This study aims to explore the feasibility of using a structure inspired by the features of horsetail and human spine as the potential helmet liner, targeting at mitigation of acceleration‐induced injuries. A parametric study is conducted to investigate the effect of individual geometrical variables in the design, indicating its capability to reduce ...
Bing Leng +3 more
wiley +1 more source
The Definition and Numerical Method of Final Value Problem and Arbitrary Value Problem [PDF]
Computer Systems Science and Engineering (CSSE) 2018 33(5), 2018 Many Engineering Problems could be mathematically described by Final Value Problem, which is the inverse problem of Initial Value Problem. Accordingly, the paper studies the final value problem in the field of ODE problems and analyses the differences and relations between initial and final value problems.
arxiv
A Variational Beam Model for Failure of Cellular and Truss‐Based Architected Materials
Advanced Engineering Materials, EarlyView., 2023 Herein, a versatile and efficient beam modeling framework is developed to predict the nonlinear response and failure of cellular, truss‐based, and woven architected materials. It enables the exploration of their design space and the optimization of their mechanical behavior in the nonlinear regime. A variational formulation of a beam model is presented
Konstantinos Karapiperis +3 more
wiley +1 more source
Symmetries for initial value problems
Applied Mathematics Letters, 2014 Abstract In this letter we give a less restrictive condition compared to that given by Zhang and Chen (2010), for first order initial conditions to be recoverable with a particular classical or nonclassical symmetry generator. Examples are provided for the generalised Kuramoto–Sivashinsky equation and a nonlinear diffusion equation with a sink term.
Goard, Joanna, Al-Nassar, Samar
openaire +3 more sources
Well-posedness of the initial value problem for the Korteweg-de Vries equation
, 1991 (1.1) &ItU + axu + U1xU = O, x, t E R { u(x, 0) = uo(x). The KdV equation, which was first derived as a model for unidirectional propagation of nonlinear dispersive long waves [21], has been considered in different contexts, namely in its relation with ...
C. Kenig, G. Ponce, L. Vega
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView., 2023 A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu +2 more
wiley +1 more source
The existence and unicity of numerical solution of initial value problems by Walsh polynomials approach [PDF]
arXiv, 2020 Chen and Hsiao gave the numerical solution of initial value problems of systems of linear differential equations with constant coefficients by Walsh polynomials approach. This result was improved by G\'at and Toledo for initial value problems of differential equations with variable coefficients on the interval $[0,1[$ and initial value $\xi=0$.
arxiv