Results 21 to 30 of about 4,087,279 (255)
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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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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Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations [PDF]
, 2020 In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are locally bounded.
Singer, Thomas, Vestberg, Matias
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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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The weak solutions to complex Hessian equations [PDF]
, 2023 In this paper, we shall study existence of weak solutions to complex Hessian equations.
Sun, Wei
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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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An existence result for quasilinear parabolic systems with lower order terms
Mathematical Modelling and Analysis, 2021 In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and ...
Farah Balaadich, Elhoussine Azroul
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
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Remark on regularity criteria of a weak solution to the 3D MHD equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We study the regularity conditions for a weak solution to 3D MHD equations in a whole space $\mathbb{R}^3$, based on the papers [C. He, Y. Wang, J. Differential Equations, 238(2007), No. 1, 1–17] and [W. Wang, J. Math. Anal. Appl., 328(2007), No. 2, 1082–
Jae-Myoung Kim
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