Instabilities in Glimm’s Scheme for Two Systems of Mixed Type

DOI10.1137/0725055zbMath0663.73010OpenAlexW1977047593MaRDI QIDQ3814913

Denis Serre, Robert L. Pego

Publication date: 1988

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0725055

zbMATH Keywords

weak convergenceconservation lawsnonconvergencesmooth solutionsphase transitionmetastabilityRiemann problemInvariancemotion of an elastic stringchange of typenonlinear elastic stringoscillatory instabilitiesEricksen's model for pure shearing motionmacroscopically random transitions to new states

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fracture and damage (74R99) Ill-posed problems for PDEs (35R25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

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