Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/39090

TítuloSolutions for linear conservation laws with gradient constraint
Autor(es)Rodrigues, José Francisco
Santos, Lisa
Palavras-chaveLinear conservation laws
Gradient constraints
Transport equation
Unilateral constraint
First order variational inequalities
EditoraEuropean Mathematical Society Publishing House
RevistaPortugaliae Mathematica
Resumo(s)We consider variational inequality solutions with prescribed gradient constraints for first order linear boundary value problems. For operators with coefficients only in L^2, we show the existence and uniqueness of the solution by using a combination of parabolic regularization with a penalization in the nonlinear diffusion coefficient. We also prove the continuous dependence of the solution with respect to the data, as well as, in a coercive case, the asymptotic stabilization as time t tends to infinity towards the stationary solution. In particular situation, motivated by the transported sandpile problem, we give sufficient conditions for the equivalence of the first order problem with gradient constraint with a two obstacles problem, the obstacles being the signed distances to the boundary. This equivalence, in special conditions, illustrates also the possible stabilization of the solution in finite time.
Versão da editorawww.ems-ph.org
Arbitragem científicayes
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

Ficheiros deste registo:
Ficheiro Descrição TamanhoFormato 
RodriguesSantos_PM_RepositoriUM.pdf453,88 kBAdobe PDFVer/Abrir

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu Currículo DeGóis