Dirichlet boundary value problem for equations describing flows of a nonlinear viscoelastic fluid in a bounded domain

DOI10.13108/2021-13-3-17zbMath1499.35494OpenAlexW3212174940MaRDI QIDQ5067172

Yuliya Nikolaevna Babkina, Mikhaĭl Anatol'evich Artemov

Publication date: 1 April 2022

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa573

zbMATH Keywords

weak solutionpolymer solutionDirichlet boundary value problemregularization methodexistence theoremnonlinear viscoelastic fluid\( \alpha \)-operatoradditional viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• On the global unique solvability of some two-dimensional problems for the water solutions of polymers
• On a model for dynamics of weak-compressible viscous-elastic liquid
• Nonlocal Continuum Field Theories
• Global solutions for a model of polymeric flows with wall slip

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