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Tagged particle limit for a Fleming-Viot type system.

Grigorescu, Ilie, Kang, Min (2006)

Electronic Journal of Probability [electronic only]

Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media

Giovanni Bellettini, Maurizio Paolini (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In questa Nota presentiamo alcuni teoremi di confronto tra il movimento secondo la curvatura media ottenuto con il metodo delle minime barriere di De Giorgi e i movimenti definiti con i metodi di Evans-Spruck, Chen-Giga-Goto, Giga-Goto-Ishii-Sato.

The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations

Dragoş Iftimie (1999)

Bulletin de la Société Mathématique de France

The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations

Xi Ting Liang, Wu Zaide (1997)

Commentationes Mathematicae Universitatis Carolinae

The a priori estimate of the maximum modulus of the generalized solution is established for a doubly nonlinear parabolic equation with special structural conditions.

The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms

Haihua Lu, Feng Wang, Qiaoyun Jiang (2011)

Annales Polonici Mathematici

This paper deals with blow-up properties of solutions to a semilinear parabolic system with weighted localized terms, subject to the homogeneous Dirichlet boundary conditions. We investigate the influence of the three factors: localized sources $u^{p} (x ₀, t)$ , vⁿ(x₀,t), local sources $u^{m} (x, t)$ , $v^{q} (x, t)$ , and weight functions a(x),b(x), on the asymptotic behavior of solutions. We obtain the uniform blow-up profiles not only for the cases m,q ≤ 1 or m,q > 1, but also for m > 1 q < 1 or m < 1 q > 1.

The area preserving curve shortening flow with Neumann free boundary conditions

Elena Mäder-Baumdicker (2015)

Geometric Flows

We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.

The asymptotic stability of steady solutions of reaction-convection-diffusion equations.

F.A. Howes (1988)

Journal für die reine und angewandte Mathematik

The Asymptotics of the Heat Equation for a Boundary Value Problem.

Lance Smith (1981)

Inventiones mathematicae

The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part.

Levenshtam, V.B. (2000)

Siberian Mathematical Journal

The Becker-Döring model with diffusion. I. Basic properties of solutions

Philippe Laurençot, Dariusz Wrzosek (1998)

Colloquium Mathematicae

The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.

Rossi, J.D. (1998)

Acta Mathematica Universitatis Comenianae. New Series

The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.

Zhang, D.H., Naing, L. (2010)

APPS. Applied Sciences

The Calderón-Zygmund theorem and parabolic equations in $L P (ℝ, C^{2 + α})$ -spaces

Nicolai V. Krylov (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in $L_{p} (ℝ, C^{2 + α})$ -spaces.

The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

Piotr Biler (1995)

Studia Mathematica

The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.

The Cauchy problem and steady state solutions for a nonlocal Cahn-Hilliard equation.

Han, Jianlong (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

The Cauchy problem for a strongly degenerate quasilinear equation

F. Andreu, Vicent Caselles, J. M. Mazón (2005)

Journal of the European Mathematical Society

We prove existence and uniqueness of entropy solutions for the Cauchy problem for the quasilinear parabolic equation $u_{t} = div 𝐚 (u, D u)$ , where $𝐚 (z, ξ) = \nabla_{ξ} f (z, ξ)$ , and $f$ is a convex function of $ξ$ with linear growth as $∥ ξ ∥ \to \infty$ , satisfying other additional assumptions. In particular, this class includes a relativistic heat equation and a flux limited diffusion equation used in the theory of radiation hydrodynamics.

Currently displaying 1 – 20 of 186