Results 31 to 40 of about 807 (73)
Unique solutions to boundary value problems in the cold plasma model
, 2010 The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation.
Otway, Thomas H.
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Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
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, 2019 We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without resistivity.
Li, Yang, Sun, Yongzhong
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Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques
Nonautonomous Dynamical SystemsThe present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while ...
Allalou Mouad, Raji Abderrahmane
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Open Mathematics, 2023 In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
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Well-posedness and stationary solutions [PDF]
, 2011 In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
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Nonlinear elliptic boundary value problems with convection term and Hardy potential
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel +2 more
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Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations [PDF]
, 2017 In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier-Stokes equations become smooth on either $[0,T_1]$ or $ [T_2 ...
Gutiérrez-Santacreu, Juan Vicente
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Weak solutions to an asymptotic equation of the variational sine-Gordon equation
Demonstratio MathematicaThis paper is concerned with an asymptotic equation which models uni-directional and weakly nonlinear waves for the variational sine-Gordon equation describing the motion of long waves on a neutral dipole chain in the continuum limit.
Chen Jianjun, Tang Xiaowei, Hu Yanbo
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Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity
Demonstratio MathematicaIn this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
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