Results 61 to 70 of about 2,303 (168)
Image restoration using a reaction-diffusion process
Electronic Journal of Differential Equations, 2014 This study shows how partial differential equations can be employed to restore a digital image. It is in fact a generalization of the work presented by Catte [12], which modify the Perona-Malik Model by nonlinear diffusion.
Noureddine Alaa +3 more
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Nonlinear models of wave processes in the dimension (1 + 1) and first order quasilinear equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study considers the connection of models of nonlinear wave processes in various one-dimensional physical systems, such as nonlinear two-wire lines, with first order quasilinear equations.
Viktor M. Zhuravlev
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Optimal $C^{1, \alpha}$ regularity for quasilinear elliptic equations with Orlicz growth
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper we obtain the interior optimal $C^{1, \alpha}$ regularity of weak solutions for the following quasilinear elliptic equations with Orlicz growth in divergence form \begin{equation*} -\operatorname{div}a(x, Du)=- \operatorname{div} \textbf{F}
Xiaohan Wang, Fengping Yao
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Advances in Nonlinear AnalysisThis study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
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Quasilinear elliptic eigenvalue problems
Commentarii Mathematici Helvetici, 1983 A generalized Palais-Smale type compactness condition is applied to prove the existence of critical points of functionals (summation convection) \[ E(u)=frac{1}{2}\int_{\Omega}a^{\alpha \beta}(x,u)\partial_{\alpha}u^ i\partial_{\beta}u^ idx\quad on\quad H_ 0^{1,2}(\Omega,{\mathbb{R}}^ N) \] subject to a nonlinear constraint \(G(u)=1\).
openaire +2 more sources
Frontiers in Astronomy and Space SciencesQuasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios.
Oliver Allanson +21 more
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Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term
Electronic Journal of Differential Equations, 2015 This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term.
Huilai Li +3 more
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Boundary Value Problems, 2018 This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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Two-grid virtual element discretization of quasilinear elliptic problem
Mathematical Modelling and AnalysisIn this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a ...
Fengxin Chen, Minghui Yang, Zhaojie Zhou
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Boundary Value Problems, 2018 In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function Φ, p>max{ρ+2,m,q,2} $p > \max \{ \rho +2, m, q,2\}$, and the initial data,
Yong Han Kang +2 more
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