Results 41 to 50 of about 1,249,019 (248)
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
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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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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
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Holistic discretization ensures fidelity to Burgers' equation [PDF]
, 2001 I analyze a generalized Burgers' equation to introduce a new method of spatial discretization. The analysis is based upon center manifold theory so we are assured that the discretization accurately models the dynamics and may be constructed ...
Roberts, A. J., A.J. Roberts
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Advanced Science, EarlyView.An integrated transfer learning framework integrates CALPHAD simulations, diffusion‐multiple experiments, and literature data to predict long‐term microstructural stability and short‐term mechanical properties of Ni‐based powder metallurgy superalloys. Based on these model predictions, a high‐performance, low‐density alloy, USTB‐PM750, is designed from
Zixin Li +8 more
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Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation
Results in Physics, 2018 In this work, the variable-coefficient modified Burgers-KdV equation, which arises in modeling various physical phenomena, is studied for exact and numerical solution based on Lie symmetry.
Vikas Kumar +3 more
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Advanced Science, EarlyView.Hydrogen‐driven iron oxide reduction, water‐iron corrosion, and hydrogen embrittlement of metallic iron share the same Fe‐O‐H chemistry. A general‐purpose Atomic Cluster Expansion potential covers this chemistry across the full concentration range with explicit Ising‐like treatment of magnetism.
Baptiste Bienvenu +5 more
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Atomistic Kinetics of Dislocation‐Mediated Grain Growth in Monolayer MoS2
Advanced Science, EarlyView.Atomic‐resolution in‐situ heating microscopy directly visualizes dislocation‐mediated grain boundary migration and grain growth in monolayer MoS2. Mobile grain boundaries migrate through collective motion of Mo 5|7 dislocations, whereas S 5|7 defects remain largely immobile.
Chang‐Won Choi +11 more
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Odd surface waves in two-dimensional incompressible fluids
SciPost Physics, 2018 We consider free surface dynamics of a two-dimensional incompressible fluid with odd viscosity. The odd viscosity is a peculiar part of the viscosity tensor which does not result in dissipation and is allowed when parity symmetry is broken.
Alexander G. Abanov, Tankut Can, Sriram Ganeshan
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Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]
, 2005 In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
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