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35-XX Partial differential equations
35Kxx Parabolic equations and systems
35K60 Nonlinear initial value problems for linear parabolic equations

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Couches limites de systèmes paraboliques

Emmanuel Grenier (1996)

Journées équations aux dérivées partielles

Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations

Macarena Gómez Mármol, Francisco Ortegón Gallego (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and φ. The system presents nonlinear turbulent viscosity $A (θ, ϕ)$ and nonlinear source terms of the form $θ^{2} {| \nabla u |}^{2}$ and ${θ ϕ | \nabla u |}^{2}$ lying in L1. Some existence results are shown in this paper, including $L^{\infty}$ -estimates and positivity for both θ and φ.

Crank-Nicolson-Galerkin approximation of the periodic solutions of weakly nonlinear parabolic equations

A. Olejniczak (1985)

Applicationes Mathematicae

Currently displaying 21 – 23 of 23

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