Local weak solvability of a moving boundary problem describing swelling along a halfline. Kumazaki, K. & Muntean, A. Networks and Heterogeneous Media, 2019.
doi  abstract   bibtex   
© American Institute of Mathematical Sciences. We obtain the local well-posedness of a moving boundary problem that describes the swelling of a pocket of water within an infinitely thin elongated pore (i.e. on [a,+∞), a > 0). Our result involves fine a priori estimates of the moving boundary evolution, Banach fixed point arguments as well as an application of the general theory of evolution equations governed by subdifferentials.
@article{
 title = {Local weak solvability of a moving boundary problem describing swelling along a halfline},
 type = {article},
 year = {2019},
 keywords = {A priori estimates,Flux boundary conditions,Moving boundary problem,Nonlinear initialboundary value problems for nonli,Swelling of pores},
 volume = {14},
 id = {0346d6e2-9478-33dc-9f1d-fad80cf9dd38},
 created = {2019-08-23T19:37:40.239Z},
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 abstract = {© American Institute of Mathematical Sciences. We obtain the local well-posedness of a moving boundary problem that describes the swelling of a pocket of water within an infinitely thin elongated pore (i.e. on [a,+∞), a > 0). Our result involves fine a priori estimates of the moving boundary evolution, Banach fixed point arguments as well as an application of the general theory of evolution equations governed by subdifferentials.},
 bibtype = {article},
 author = {Kumazaki, K. and Muntean, A.},
 doi = {10.3934/nhm.2019018},
 journal = {Networks and Heterogeneous Media},
 number = {3}
}

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