Results 21 to 30 of about 433,079 (233)
On Unique Continuation for Navier-Stokes Equations
Abstract and Applied Analysis, 2015 We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
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Linearization of the Navier-Stokes equations [PDF]
E3S Web of Conferences, 2020 This paper studies mathematical models of the heat transfer process of a viscous incompressible fluid. Optimal control methods are used to solve the problem of optimal modeling.
Nazarov Serdar +2 more
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Symbolic Regression for PDEs using Pruned Differentiable Programs [PDF]
arXiv, 2023 Physics-informed Neural Networks (PINNs) have been widely used to obtain accurate neural surrogates for a system of Partial Differential Equations (PDE). One of the major limitations of PINNs is that the neural solutions are challenging to interpret, and are often treated as black-box solvers. While Symbolic Regression (SR) has been studied extensively,
arxiv
The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization [PDF]
Archives of Control Sciences, 2021 The article presents "-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution.
Saule Sh. Kazhikenova
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Mathematics, 2023 In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
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A framework for the evaluation of turbulence closures used in mesoscale ocean large-eddy simulations [PDF]
, 2012 We present a methodology to determine the best turbulence closure for an eddy-permitting ocean model through measurement of the error-landscape of the closure's subgrid spectral transfers and flux. We apply this method to 6 different closures for forced-dissipative simulations of the barotropic vorticity equation on a f-plane (2D Navier-Stokes equation)
arxiv +1 more source
Navier-Stokes Equations with Potentials
Abstract and Applied Analysis, 2007 We study Navier-Stokes equations perturbed with a maximal monotone operator, in a bounded domain, in 2D and 3D. Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. Examples are also provided.
Adriana-Ioana Lefter
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Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation [PDF]
Prog.Theor.Phys. 105 (2001) 1045-1057, 2001 We investigate the equation where the commutation relation in 2-dimensional zero-curvature equation composed of the algebra-valued potentials is replaced by the Moyal bracket and the algebra-valued potentials are replaced by the non-algebra-valued ones with two more new variables.
arxiv +1 more source
Mathematics, 2023 Since Sir Osborne Reynolds presented the Reynolds-averaged Navier–Stokes (RANS) equations in 1895, the construction of complete closure for RANS equations has been regarded as extremely challenging.
Sungmin Ryu
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