Homogenization for a Volterra Equation
Copyright policy )Homogenization for a Volterra Equation
Les AA. considèrent une équation de Volterra de la forme \[ b_ 0u- div_ x(c*\sigma)=b_ 0u_ 0-\beta *u+H \] où \(c=c(x,t)\) et \(b_ 0=b_ 0(x)\) sont des fonctions positives données, \(\sigma =\sigma (x,\nabla u(x,t))\), \(\beta =\beta (x,t)\) et \(H=H(x,t)\) sont données ainsi que \(u_ 0=u_ 0(x)\). Supposant que \(\sigma\) (x,r) est le sous- différentiel d'une fonction convexe j(x,r) les AA. obtiennent un théorème d'existence et d'unicité. Ils étudient la convergence du problème homogeneisé, c'est à dire où x est remplacé par x/\(\epsilon\) et où toutes les fonctions sont périodiques en x.
Integro-partial differential equations, nonlinear heat equation, Volterra equation, heterogeneous material with memory, Heat and mass transfer, heat flow, homogenization, Singular nonlinear integral equations, Composite and mixture properties, heat flow
Integro-partial differential equations, nonlinear heat equation, Volterra equation, heterogeneous material with memory, Heat and mass transfer, heat flow, homogenization, Singular nonlinear integral equations, Composite and mixture properties, heat flow
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