Results 21 to 30 of about 3,919,417 (298)
Non-uniqueness and prescribed energy for the continuity equation [PDF]
, 2015 In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Gusev, Nikolay +3 more
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Weak transversality and partially invariant solutions [PDF]
Journal of Mathematical Physics, 2003 New exact solutions are obtained for several nonlinear physical equations, namely the Navier–Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schrödinger equation. The solution method makes use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.
Grundland, A. M. +2 more
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Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, the Hölder regularity of weak solutions for singular parabolic systems of p-Laplacian type is investigated. By the Poincare inequality, we show that its weak solutions within Hölder space.
Khoirunisa Khoirunisa +2 more
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Bounded weak solutions to nonlinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\
Abderrahmane El Hachimi, Jaouad Igbida
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Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
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Interior regularity of weak solutions to the perturbed Navier-Stokes equations [PDF]
, 2012 summary:In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R.
Han, Pigong
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On the Regularity of Weak Solutions to Time-Periodic Navier–Stokes Equations in Exterior Domains
, 2022 Consider the time-periodic viscous incompressible fluid flow past a body with non-zero velocity at infinity. This article gives sufficient conditions such that weak solutions to this problem are smooth.
Thomas Eiter, Eiter, Thomas
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Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
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Uniqueness in the Freedericksz transition with weak anchoring [PDF]
, 2009 In this paper we consider a boundary value problem for a quasilinear pendulum equation with nonlinear boundary conditions that arises in a classical liquid crystals setup, the Freedericksz transition, which is the simplest opto-electronic switch, the ...
Mottram, N.J. +4 more
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MathematicsThis manuscript proves the global existence and uniqueness of helically symmetric weak solutions to the 3D time-dependent Ginzburg–Landau model of superconductivity in R3 with L2 initial data and supports the choice of the Lorentz gauge.
Jishan Fan, Yong Zhou
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