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Formal asymptotic limit of a diffuse-interface tumor-growth model

Abstract

We consider a diffuse-interface tumor-growth model, which has the form of a phase-field system. We discuss the singular limit of this problem. More precisely, we formally prove that as the reaction coefficient tends to zero, the solution converges to the solution of a free boundary problem.
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Dates and versions

hal-00843534 , version 1 (11-07-2013)

Identifiers

  • HAL Id : hal-00843534 , version 1

Cite

Danielle Hilhorst, Kampmann Johannes, Thanh Nam Nguyen, Zee Kristoffer G. van Der. Formal asymptotic limit of a diffuse-interface tumor-growth model. 2013. ⟨hal-00843534⟩
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