Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system

Yujuan Chen

Displaying similar documents to “Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system”

Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Michel Bellieud (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the homogenization of parabolic or hyperbolic equations like $ρ_{ε} \frac{\partial^{n} u_{ε}}{\partial t^{n}} - div (a_{ε} \nabla u_{ε}) = f in Ω \times (0, T) + boundary conditions, n \in {1, 2},$ when the coefficients $ρ_{ε}$ , $a_{ε}$ (defined in $Ø$ ) take possibly high values on a $ε$ -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.

Blowup for degenerate and singular parabolic system with nonlocal source.

Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)

Boundary Value Problems [electronic only]

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Homogenization of $p$ -laplacian in perforated domain

B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)

Annales de l'I.H.P. Analyse non linéaire

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Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in $R^{3}$

Khalid Benmlih, Otared Kavian (2008)

Annales de l'I.H.P. Analyse non linéaire

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A remark on parabolic equations.

Haraux, Alain (1997)

Portugaliae Mathematica

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Existence of solution for nonlinear elliptic equations with unbounded coefficients and $L^{1}$ data.

Redwane, Hicham (2009)

International Journal of Mathematics and Mathematical Sciences

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Existence and uniqueness of periodic solutions for a model of contaminant flow in porous medium.

Badii, Maurizio (2003)

Rendiconti del Seminario Matematico

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Displaying similar documents to “Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system”

Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Blowup for degenerate and singular parabolic system with nonlocal source.

Homogenization of p -laplacian in perforated domain

Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in R 3

A remark on parabolic equations.

Existence of solution for nonlinear elliptic equations with unbounded coefficients and L 1 data.

Existence and uniqueness of periodic solutions for a model of contaminant flow in porous medium.

Homogenization of $p$ -laplacian in perforated domain

Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in $R^{3}$

Existence of solution for nonlinear elliptic equations with unbounded coefficients and $L^{1}$ data.