Results 51 to 60 of about 2,321 (137)
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
doaj
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code
Earth and Space ScienceQuasilinear diffusion coefficients can be used to model the response of charged particles to resonant wave‐particle interactions. The calculation of these coefficients is sufficiently complicated and arduous to render it prohibitive to many potential ...
Oliver Allanson +12 more
doaj +1 more source
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
doaj
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
doaj +1 more source
Electronic Journal of Differential Equations, 2019 In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
doaj
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
doaj +1 more source