Existence, uniqueness and properties of global weak solutions to interdiffusion with Vegard rule

DOI10.12775/TMNA.2018.008zbMath1412.35188WikidataQ129545284 ScholiaQ129545284MaRDI QIDQ1741780

Bogusław Bożek, Lucjan Sapa, Marek Danielewski

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1532484289

zbMATH Keywords

existenceuniquenessinterdiffusionGalerkin approximationDarken methodparabolic nonlinear systemproperties of global weak solutionsVegard rule

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with mechanics of particles and systems of particles (35Q70) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Generalized commutative quaternion polynomials of the Fibonacci type ⋮ Interdiffusion in many dimensions: mathematical models, numerical simulations and experiment ⋮ DIFFERENCE METHODS TO ONE AND MULTIDIMENSIONAL INTERDIFFUSION MODELS WITH VEGARD RULE ⋮ Weak solutions to interdiffusion models with Vegard rule

Cites Work

• The intrinsic diffusivities in multi component systems
• Applied Analysis of the Navier-Stokes Equations
• Nonlinear partial differential equations with applications
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