Results 91 to 100 of about 789,164 (294)
Solving the Dym initial value problem in reproducing kernel space
, 2017 We consider two numerical solution approaches for the Dym initial value problem using the reproducing kernel Hilbert space method. For each solution approach, the solution is represented in the form of a series contained in the reproducing kernel space ...
R. A. Van Gorder +6 more
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On the initial value problem for causal variational principles [PDF]
, 2013 We formulate the initial value problem for causal variational principles in the continuous setting on a compact metric space. The existence and uniqueness of solutions is analyzed.
Grotz, Andreas +3 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation
Advances in Mathematical Physics, 2010 We study the initial value problem for the quadratic nonlinear Klein-Gordon equation ℒ𝑢=⟨𝑖𝜕𝑥⟩−1𝑢2, (𝑡,𝑥)∈𝐑×𝐑, 𝑢(0,𝑥)=𝑢0(𝑥), 𝑥∈𝐑, where ℒ=𝜕𝑡+𝑖⟨𝑖𝜕𝑥⟩ and ⟨𝑖𝜕𝑥⟩=1−𝜕2𝑥.
Nakao Hayashi, Pavel I. Naumkin
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Advanced Engineering Materials, EarlyView.The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
wiley +1 more source
Baltic sea deep salinity: an initial and boundary value problem
Frontiers in Earth ScienceThe Baltic Sea salinity is modelled using a two-box model. The simplistic approach allows for very long integrations where a large part of the phase space of the model can be probed. Particular emphasis is put on the salinity dynamics in the deeper parts
Magnus Hieronymus
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Singular Initial Value Problem for a System of Integro-Differential Equations
Abstract and Applied Analysis, 2012 Analytical properties like existence, uniqueness, and asymptotic behavior of solutions are studied for the following singular initial value problem: gi(t)yi′(t)=aiyi(t)(1+fi(t,y(t),∫0+tKi(t,s,y(t),y(s))ds)), yi(0+)=0, t∈(0, t0], where
Zdeněk Šmarda, Yasir Khan
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What Do Large Language Models Know About Materials?
Advanced Engineering Materials, EarlyView.If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
wiley +1 more source
An Initial Value Problem for Oscillations of the Interstellar Gas
, 1966 Initial value problem for oscillations in interstellar ...
Lerche, I., Parker, E. N.
core
A highly unstable initial value boundary value problem
, 2008 In this paper we consider a two-dimensional diffusion equation on the closed right halfspace R+2¯ satisfying a boundary condition for which the minimum principle fails. As a consequence, the associated Cauchy initial value problem fails to be well-posed.
Stroock, Daniel W. +3 more
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