Results 51 to 60 of about 8,315 (291)
Linearizability of the perturbed Burgers equation [PDF]
Physical Review E, 1998 10 pages, RevTeX, no ...
Kraenkel, Roberto André +2 more
openaire +3 more sources
Integrable viscous conservation laws
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
core +1 more source
Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
wiley +1 more source
On the existence of the solution of Burgers' equation for n≤4
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation.
Adel N. Boules
doaj +1 more source
Ain Shams Engineering Journal, 2018 In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat +4 more
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Discrete analogue of the Burgers equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2012 We propose the set of coupled ordinary differential equations dn_j/dt=(n_{j-1})^2-(n_j)^2 as a discrete analog of the classic Burgers equation. We focus on traveling waves and triangular waves, and find that these special solutions of the discrete system capture major features of their continuous counterpart.
Ben-Naim, E., Krapivsky, P. L.
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Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
wiley +1 more source
Mathematics, 2023 This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur +2 more
doaj +1 more source
Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation [PDF]
, 2006 [Abstract]: Constructing discrete models of stochastic partial differential equations is very delicate. Here we use modern dynamical systems theory to derive spatial discretisations of the nonlinear advection-diffusion dynamics of the stochastically ...
Roberts, A. J.
core
A New High-order Time-kernel BIEM for the Burgers Equation
, 2006 This paper presents a new high-order time-kernel boundary-integral-equation method (BIEM) for numerically solving transient problems governed by the Burgers equation.
Mai-Duy, N. +5 more
core +1 more source