Results 21 to 30 of about 10,780,423 (379)
Global existence of weak solution for the 2-D Ericksen–Leslie system [PDF]
, 2013 We prove the global existence of weak solution for two dimensional Ericksen–Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients.
Meng Wang, Wendong Wang
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Global weak solution of 3D-NSE with exponential damping
Open Mathematics, 2022 In this paper, we prove the global existence of incompressible Navier-Stokes equations with damping α(eβ∣u∣2−1)u\alpha \left({e}^{\beta | u{| }^{2}}-1)u, where we use the Friedrich method and some new tools.
Benameur Jamel
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AIMS Mathematics, 2023 In this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained.
Tao Wu
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Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity [PDF]
, 2013 We prove the global existence of a helical weak solution of the 3D Euler equations, in full space, for an initial velocity with helical symmetry, without swirl and whose initial vorticity is compactly supported in the axial plane and belongs to $L^p ...
Anne C. Bronzi, M. L. Filho, H. N. Lopes
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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics [PDF]
, 1998 The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a
A. A. Tseytlin +17 more
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
Boundary Value Problems, 2017 We consider the Boussinesq system in the homogeneous spaces of degree −1. To narrow the gap for the existence of small regular solutions in B ˙ ∞ , ∞ − 1 ( R n ) $\dot{B}^{-1}_{\infty,\infty}(\mathbb{R}^{n})$ , the biggest homogeneous space of degree −1 ...
Xiaona Cui
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Fractal and Fractional, 2021 This paper is devoted to the fundamental problem of investigating the solvability of initial-boundary value problems for a quasi-linear pseudo-parabolic equation of fractional order with a sufficiently smooth boundary.
Serik E. Aitzhanov +2 more
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, 2018 The paper shows that the regularity up to the boundary of a weak solution of the Navier–Stokes equation with generalized Navier’s slip boundary conditions follows from certain rate of integrability of at least one of the functions , (the positive part of
J. Neustupa, P. Penel
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The Lax-Oleinik semigroup on graphs
Networks and Heterogeneous Media, 2017 We consider Tonelli Lagrangians on a graph, define weak KAM solutions, which happen to be the fixed points of the Lax-Oleinik semi-group, and identify their uniqueness set as the Aubry set, giving a representation formula.
Renato Iturriaga +1 more
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Regularity of weak solutions to rate-independent systems in one-dimension [PDF]
, 2012 We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has fi nite jumps, or is even piecewise C1.
Mach Nguyet Minh, Mach Nguyet Minh
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