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On the thermodynamical restrictions in isothermal deformations of fractional Burgers model. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 We investigate, in the distributional setting, the restrictions on the constitutive equation for a fractional Burgers model of viscoelastic fluid that follow from the weak form of the entropy inequality under isothermal conditions. The results are generalized, from the Burgers model, to an arbitrary class of linear constitutive equations with ...
Atanacković TM, Janev M, Pilipović S.
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A sub-grid scale model for Burgers turbulence based on the artificial neural network method
Theoretical and Applied Mechanics LettersThe present study proposes a sub-grid scale model for the one-dimensional Burgers turbulence based on the neural network and deep learning method. The filtered data of the direct numerical simulation is used to establish the training data set, the ...
Xin Zhao, Kaiyi Yin
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Coupled Burgers equations: A model of polydispersive sedimentation [PDF]
Physical Review E, 1995 35 pages, PHYZZX.TEX, six figures upon request (please enclose your postal address)
Sergei E. Esipov
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Burgers' Turbulence Models [PDF]
The Physics of Fluids, 1969 A detailed investigation of the stability of the solutions and the growth of secondary solutions beyond the critical points is carried out for the Burgers' model equations. It is found that the transitions at some critical points are very much like the intuitive description given by Landau; however, the possibility of finite jumps is also encountered.
K. M. Case, S. C. Chiu
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A BPE model for the Burgers' equation [PDF]
Publications of the Research Institute for Mathematical Sciences, 2003 We study the BPE (Brownian particle equation) model of the Burgers equation presented in the preceding article [6]. More precisely, we are interested in establishing the existence and uniqueness properties of solutions using probabilistic techniques.
Arturo Kohatsu, Shigeyoshi Ogawa
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On the control of the Burgers-alpha model [PDF]
Advances in Differential Equations, 2013 22 ...
F. D. Araruna +2 more
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Data-Driven Model Reduction for Stochastic Burgers Equations [PDF]
Entropy, 2020 We present a class of efficient parametric closure models for 1D stochastic Burgers equations. Casting it as statistical learning of the flow map, we derive the parametric form by representing the unresolved high wavenumber Fourier modes as functionals of the resolved variables’ trajectory. The reduced models are nonlinear autoregression (NAR)
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Stability and uniqueness for a turbulence model of Burgers [PDF]
Quarterly of Applied Mathematics, 1978 In his early work on mathematical models of turbulence, J. M. Burgers proposed a nonlinear system, coupling an ordinary and a partial differential equation, to simulate flow in a channel. The now well-known Burgers equation arose in his work from a simplification of this system.
Cornelius O. Horgan, W. E. Olmstead
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Meikuang AnquanThe protective coal pillars in the downhill sections of deep mines are long-term in a complex environment of “three highs and one disturbance”(high stress, high water pressure, high ground temperature and excavation disturbance) , and their cumulative ...
Zhichao DUAN +3 more
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Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application
Applied SciencesConsidering the complexity and diversity of water-rich soft soil strata, indoor triaxial shear tests and creep tests were conducted on soft soil to explore its deformation law and creep characteristics.
Ruonan Zhu +4 more
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