Existence of solutions for a quasi-linear phase separation of multi-component system

dc.contributor.authorZhang, Dongpei
dc.contributor.authorLiu, Ruikuan
dc.date.accessioned2022-01-26T21:39:08Z
dc.date.available2022-01-26T21:39:08Z
dc.date.issued2018-03-18
dc.description.abstractThis article formulates a new model of the phase separation of multi-component system, which is a fourth-order quasi-linear evolution partial differential equation. By using the acute angle principle, we obtain a weak solution of the corresponding steady-state equations. In addition, we show that the quasi-linear dynamic equations have at least one global weak solution, based on the T-weakly continuous operators theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhang, D.,& Liu, R. (2018). Existence of solutions for a quasi-linear phase separation of multi-component system. <i>Electronic Journal of Differential Equations, 2018</i>(76), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15218
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMulti-component system
dc.subjectAcute angle principle
dc.subjectT-weakly continuous operators
dc.subjectGlobal weak solution
dc.titleExistence of solutions for a quasi-linear phase separation of multi-component system
dc.typeArticle

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