Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations [PDF]
Theoretical and Applied MechanicsIn this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces.
Muhammad Jan
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Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field [PDF]
, 2016 In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity.
Michael Ruzhansky, N. Tokmagambetov
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On the regularity of weak solutions to the magnetohydrodynamic equations
Journal of Differential Equations, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhouping Xin, Cheng He
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Boundedness of solutions to some linear elliptic equations with right hand side in the Morrey space L^{1,λ} [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1998 We prove boundedness of distributional solutions u to linear elliptic equations − div(a(x)Du(x)) = − div f(x)+f0(x) where the right hand side f,f0 is only in L^{1,λ}.
Anna D’Ottavio +2 more
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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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Weak solutions for quasilinear degenerate parabolic systems
Electronic Journal of Differential Equations, 2006 This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general.
Zheng'an Yao, Wenshu Zhou
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Weak-strong uniqueness of hydrodynamic flow of nematic liquid crystals
Electronic Journal of Differential Equations, 2012 This article concerns a simplified model for a hydrodynamic system of incompressible nematic liquid crystal materials. It is shown that the weak-strong uniqueness holds for the class of weak solutions provided that either $(mathbf{u}, ablamathbf{d ...
Ji-hong Zhao, Qiao Liu
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Existence and blow up for viscoelastic hyperbolic equations with variable exponents
Communications in Analysis and MechanicsIn this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. By using the Faedo$ - $Galerkin method and the contraction mapping principle, we obtain the existence of weak solutions under suitable assumptions on the ...
Ying Chu, Bo Wen, Libo Cheng
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Weak nonmild solutions to some SPDEs
Illinois Journal of Mathematics, 2010 17 ...
Conus, Daniel, Khoshnevisan, Davar
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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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