Solution to nonlinear gradient dependent systems with a balance law

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dc.contributor.authorDahmani, Zoubir
dc.contributor.authorKerbal, Sebti
dc.date.accessioned2021-08-18T17:01:26Z
dc.date.available2021-08-18T17:01:26Z
dc.date.issued2007-11-21
dc.description.abstractIn this paper, we are concerned with the initial boundary value problem (IBVP) and with the Cauchy problem to the reaction-diffusion system ut - Δu = -un|∇v|p, vt - dΔv = un|∇v|p, where 1 ≤ p ≤ 2, d and n are positive real numbers. Results on the existence and large-time behavior of the solutions are presented.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDahmani, Z., & Kerbal, S. (2007). Solution to nonlinear gradient dependent systems with a balance law. <i>Electronic Journal of Differential Equations, 2007</i>(158), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14372
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectReaction-diffusion systems
dc.subjectGlobal existence
dc.subjectAsymptotic behavior
dc.subjectMaximum principle
dc.titleSolution to nonlinear gradient dependent systems with a balance lawen_US
dc.typeArticle

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