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Anisotropic 𝑝-Laplacian evolution of fast diffusion type
We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian
equation when fast diffusion holds in all directions. We develop the basic theory and prove …
equation when fast diffusion holds in all directions. We develop the basic theory and prove …
[HTML][HTML] The very singular solution for the Anisotropic Fast Diffusion Equation and its consequences
Abstract We construct the Very Singular Solution (VSS) for the Anisotropic Fast Diffusion
Equation (AFDE) in the suitably good exponent range. VSS is a solution that, starting from …
Equation (AFDE) in the suitably good exponent range. VSS is a solution that, starting from …
[HTML][HTML] Anisotropic fast diffusion equations
We prove the existence of self-similar fundamental solutions (SSF) of the anisotropic porous
medium equation in the suitable fast diffusion range. Each of such SSF solutions is uniquely …
medium equation in the suitable fast diffusion range. Each of such SSF solutions is uniquely …
Ginzburg–Landau vortex and mean curvature flow with external force field
HY Jian, YN Liu - Acta Mathematica Sinica, 2006 - Springer
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a
parabolic Ginzburg–Landau system which simulates inhomogeneous type II …
parabolic Ginzburg–Landau system which simulates inhomogeneous type II …
Removability conditions for anisotropic parabolic equations in a computational validation
D Langemann, M Savchenko - Frontiers in Applied Mathematics and …, 2024 - frontiersin.org
The article investigates removability conditions for singularities of anisotropic parabolic
equations and in particular for the anisotropic porous medium equation and it aims in the …
equations and in particular for the anisotropic porous medium equation and it aims in the …
Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
In this paper we explore the theory of the anisotropic porous medium equation in the slow
diffusion range. After revising the basic theory, we prove the existence of self-similar …
diffusion range. After revising the basic theory, we prove the existence of self-similar …
Solutions of the anisotropic porous medium equation in Rn under an l1-initial value
Consider the anisotropic porous medium equation,[Formula: see text], where mi> 0,(i= 1,
2,…, n) satisfying max1⩽ i⩽ n {mi}⩽ 1,∑ i= 1nmi> n-2, and max1⩽ i⩽ n {mi}⩽ 1/n (2+∑ i …
2,…, n) satisfying max1⩽ i⩽ n {mi}⩽ 1,∑ i= 1nmi> n-2, and max1⩽ i⩽ n {mi}⩽ 1/n (2+∑ i …
Harnack-type estimates and extinction in finite time for a class of anisotropic porous medium type equations
In this work we are interested in the study of a class of anisotropic porous medium-type
equations whose prototype is\[u_t=\sum_ {i= 1}^ N\left (m_i u^{m_i-1} u_ {x_i}\right) …
equations whose prototype is\[u_t=\sum_ {i= 1}^ N\left (m_i u^{m_i-1} u_ {x_i}\right) …
A brief note on Harnack-type estimates for singular parabolic nonlinear operators
A BRIEF NOTE ON HARNACK-TYPE ESTIMATES FOR SINGULAR PARABOLIC
NONLINEAR OPERATORS ——————– UNA BREVE NOTA SU DISUGU Page 1 A …
NONLINEAR OPERATORS ——————– UNA BREVE NOTA SU DISUGU Page 1 A …
Propagation property for anisotropic nonlinear diffusion equation with convection
TS Khin, N Su - Journal of mathematical analysis and applications, 2009 - Elsevier
We consider propagation property for anisotropic diffusion equation with convection in 2
dimension, where p1, p2, m, α> 0. Among the results, we show that perturbation for the …
dimension, where p1, p2, m, α> 0. Among the results, we show that perturbation for the …