Nonlinear stability analysis of a two-dimensional diffusive free boundary problem

Simple item page
dc.contributor.authorWebster, Micah
dc.contributor.authorGuidotti, Patrick
dc.contributor.departmentMathematics and Computer Scienceen_US
dc.date.accessioned2017-05-23T16:12:58Z
dc.date.available2017-05-23T16:12:58Z
dc.date.issued2010-01-25
dc.description.abstractWe explore global existence and stability of planar solutions to a multi-dimensional Case II polymer diffusion model which takes the form of a one-phase free boundary problem with phase onset. Due to a particular boundary condition, convergence cannot be expected on the whole domain. A boundary integral formulation derived in [13] is shown to remain valid in the present context and allows us to circumvent this difficulty by restricting the analysis to the free boundary. The integral operators arising in the boundary integral formulation are analyzed by methods of pseudodifferential calculus. This is possible as explicit symbols are available for the relevant kernels. Spectral analysis of the linearization can then be combined with a known principle of linearized stability [12] to obtain local exponential stability of planar solutions with respect to two-dimensional perturbations.en_US
dc.description.urihttps://www.researchgate.net/publication/267115398_Nonlinear_stability_analysis_of_a_two-dimensional_diffusive_free_boundary_problemen_US
dc.format.extent19 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/M2QG34
dc.identifier.citationInterfaces and Free Boundaries 12 (2010), 293–310en_US
dc.identifier.urihttp://hdl.handle.net/11603/3934
dc.language.isoen_USen_US
dc.titleNonlinear stability analysis of a two-dimensional diffusive free boundary problemen_US
dc.typeTexten_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Nonlinear_stability_analysis_of_a_two-dimensional_.pdf
Size:
299.47 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.6 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Goucher College Faculty and Staff Collection