Results 1 to 10 of about 9,938 (296)

On the thermodynamical restrictions in isothermal deformations of fractional Burgers model. [PDF]

open access: yesPhilos 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.
europepmc   +6 more sources

A sub-grid scale model for Burgers turbulence based on the artificial neural network method

open access: yesTheoretical and Applied Mechanics Letters
The 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
doaj   +4 more sources

One-Dimensional Strain Research of Coral Mud Based on a Modified Burgers Model Considering Stress History

open access: yesJournal of Marine Science and Engineering, 2023
Coral mud is a special rock and sediment mass and is widely distributed in the South China Sea. Studying the deformation of coral mud is important for infrastructure development in the South China Sea.
Yang Shen, He Weng, Ke Ma, Jue Deng
doaj   +2 more sources

Burgers equation in the adhesion model [PDF]

open access: yesApplicable Analysis, 2020
We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with Hölder continuous initial data. Our motivation is the adhesion model in the theory of formation of the large-scale structure of the universe. Importantly, we drop the assumption on the potentiality of the velocity flow that
Evelina Shamarova
exaly   +3 more sources

Control of the Stochastic Burgers Model of Turbulence [PDF]

open access: yesSIAM Journal on Control and Optimization, 1999
Summary: We consider a control problem for a stochastic Burgers equation. This problem is motivated by a model from the control of turbulence (see [\textit{H. Choi} et al., J. Fluid Mech. 253, 509--543 (1993; Zbl 0810.76012)]). We study a sequence of approximated Hamilton-Jacobi equations by using dynamic programming.
Debussche, Arnaud, Da Prato, Giuseppe
openaire   +2 more sources

On the control of the Burgers-alpha model

open access: yesAdvances in Differential Equations, 2013
22 ...
Araruna, Fágner D..   +2 more
openaire   +6 more sources

Error estimates for model order reduction of Burgers’ equation [PDF]

open access: yesIFAC-PapersOnLine, 2020
Burgers' equation is a nonlinear scalar partial differential equation, commonly used as a testbed for model order reduction techniques and error estimates. Model order reduction of the parameterized Burgers' equation is commonly done by using the reduced basis method.
Abbasi, M. H.   +4 more
core   +3 more sources

Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids [PDF]

open access: yesJournal of Applied Mathematics, 2012
The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang   +3 more
doaj   +2 more sources

Derivation of the Variants of the Burgers Model Using a Thermodynamic Approach and Appealing to the Concept of Evolving Natural Configurations

open access: yesFluids, 2018
Viscoelastic rate-type fluid models involving the stress and frame-indifferent time derivatives of second order, like those in Burgers’ model, are used to describe the complicated response of fluid like materials that are endowed with a complex ...
Josef Málek   +2 more
doaj   +3 more sources

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