Results 11 to 20 of about 2,584 (111)
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids
Advances in Mathematical PhysicsMSC2010 Classification: 76D05 ...
Jae-Myoung Kim
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Advances in Nonlinear Analysis, 2022 We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor.
Eiter Thomas +2 more
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Global well-posedness for the critical 2D dissipative quasi-geostrophic equation [PDF]
, 2006 We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.Comment: 7 ...
A. Cordoba +8 more
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Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation divaε(x, ∇uε) = divbε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist +4 more
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The continuum limit of Follow-the-Leader models - a short proof [PDF]
, 2017 We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic ...
Holden, Helge, Risebro, Nils Henrik
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Travelling wave solutions to some PDEs of mathematical physics
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 21, Page 1105-1120, 2004., 2004 Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity and multifluid flows, or some new cosmological models such as signature changing space ...
Kourosh Nozari, Ghasem Alizadeh Afrouzi
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Symmetry group analysis and invariant solutions of hydrodynamic‐type systems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 10, Page 487-534, 2004., 2004 We study point and higher symmetries of systems of the hydrodynamic type with and without an explicit dependence on t, x. We consider such systems which satisfy the existence conditions for an infinite‐dimensional group of hydrodynamic symmetries which implies linearizing transformations for these systems.
M. B. Sheftel
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Asymptotics for critical nonconvective type equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 8, Page 377-405, 2004., 2004 We study large‐time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear dissipative evolution equation. The linear part is a pseudodifferential operator and the nonlinearity is a cubic pseudodifferential operator defined by means of the inverse Fourier transformation and represented by bilinear and trilinear forms with ...
Nakao Hayashi +2 more
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Inviscid, zero Froude number limit of the viscous shallow water system
Open Mathematics, 2021 In this paper, we study the inviscid and zero Froude number limits of the viscous shallow water system. We prove that the limit system is represented by the incompressible Euler equations on the whole space.
Yang Jianwei, Liu Mengyu, Hao Huiyun
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Abstract and Applied Analysis, Volume 2004, Issue 10, Page 815-829, 2004., 2004 This paper deals with the initial‐boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two‐dimensional or three‐dimensional space. The existence of weak solutions of this problem is obtained.
D. A. Vorotnikov, V. G. Zvyagin
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