nonlinear diffusion
Nonlinear diffusion equations and curvature conditions in metric measure spaces
... This last part is really the core of the work, where all the tools developed in Parts I and II are combined to prove the main results. The natural setting is provided by a Polish topological space (X, τ ) endowed with a ...
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Free boundary determination in nonlinear diffusion
... with nonlinear diffusion occur in some applications concern- ing the solidification over a mould with dissimilar nonlinear thermal properties or, sat- urated/unsaturated absorption in the soil ...
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Hurst exponents, Markov processes, and nonlinear diffusion equations
... truly nonlinear diffusion equation has no underlying Langevin ...Any nonlinear diffusion equation with a Langevin description is a linear Fokker-Planck equation in disguised ...
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Travelling Waves in Space Fractional Nonlinear Diffusion with Linear Convection
... How to cite this paper: Costa, F.S. and Pereira, M.R.A. (2017) Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection. Journal of Applied Mathematics and Physics , 5, 462-468. ...
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Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton-MG) are well established as fast solvers for nonlin- ear PDEs of elliptic and parabolic type. In this paper we ...
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Study of Image Local Scale Structure Using Nonlinear Diffusion
... general, nonlinear diffusion equations cannot be solved ...some nonlinear problems, it makes the analyti- cal analysis even more ...Heat diffusion; (2) Mean curvature diffusion; (3) TV ...
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Geometric nonlinear diffusion filter and its application to X-ray imaging
... Anisotropic diffusion filter (ADF) is one of the most widely used denoising techni- ques in medical imaging ...of diffusion coefficients and gradients at every ...the nonlinear diffusion ...
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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... [2] Gurhan Gurarslan and Murat Sari 2009 “Numerical solutions of linear and nonlinear diffusion equation by a differential quadrature method” Int. J. Nume. Meth. Biomed. Engg. Vol. 27 Pp-69-77. [3] J.H. He, ...
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Learning by Unsupervised Nonlinear Diffusion
... unsupervised nonlinear diffusion (LUND), that combines graph-based diffusion ge- ometry with techniques based on density and mode ...data-adapted diffusion process, and associated ...
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Pattern formation for a nonlinear diffusion chemotaxis model with logistic source
... Particularly, nonlinear instability remained open. The proof of the nonlinear instability based on unstable eigenvalues is nontrivial for several ...the nonlinear term d 1 ∇ · ...
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Attractors in confined source problems for coupled nonlinear diffusion
... Abstract. In processes driven by nonlinear diffusion, a signal from a concentrated source is confined in a finite region. Such solutions can be sought in the form of power series in a spatial coordinate. We use this ...
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Solutions of the nonlinear diffusion equation : existence, uniqueness, and estimation
... V TABLE OF CONTENTS STATEMENT ii ACKNOWLEDGEMENTS iii iv ABSTRACT INTRODUCTION CHAPTER 1 1.0 The equations to be solved 1 1.1 Exact solutions 4 1.2 Approximate solutions 5 EXISTENCE, UNI[r] ...
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Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions
... efficient and optimal system of one-dimensional sub-algebras is obtained. Then, in Sec- tion , sub-algebras are used to construct symmetry reduction and analytic solutions. In Section , numerical solutions of ...
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The uniqueness of a nonlinear diffusion equation related to the p Laplacian
... Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usual evolutionary p-Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient ...
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Anisotropic nonlinear diffusion with absorption: existence and extinction
... A function u LQ is a generalized solution of the initial-boudary value problem 1.1if for each T > 0, the function u can be written as the weak LQT limit ot’a sequence of classical soluti[r] ...
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Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... theory can be used to infer how a Newton-MG iteration will perform for a nonlinear problem. Sophisticated algorithms may be developed by tak- ing advantage of the knowledge of these two methods individually, such ...
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Sharp Operator Based Edge Detection
... steer nonlinear diffusion filters via the sharp operator without using derivatives to measure ...these diffusion filters are comparable to classical versions while the underlying sharp operator has a ...
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Mixed flux equipartition solutions of a diffusion model of nonlinear cascades
... where s(t) is a typical wavenumber which grows in time as the spectrum spreads in k-space. It is well-known (see for example [25] and the references therein) that this self- similarity ansatz applied to nonlinear ...
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Memory Effect in Chemotaxis Equation
... between nonlinear Diffusion-Reaction-Convection and chemotaxis equation is ...that nonlinear DR equation with nonlinear convection term is equivalent to chemotaxis ...Thus, nonlinear ...
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Numerical method for solving a nonlinear inverse diffusion equation
... inverse diffusion equation since the solution of the inverse nonlinear diffusion equation requires us to determining an unknown diffusion ...
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