Solvability of an initial-boundary value problem for the modified Kelvin-Voigt model with memory along fluid motion trajectories
DOI10.1134/S0012266124020046zbMATH Open1541.35396MaRDI QIDQ6552482
A. S. Ustiuzhaninova, Mikhail V. Turbin
Publication date: 8 June 2024
Published in: Differential Equations (Search for Journal in Brave)
weak solutioninitial-boundary value problemexistence theoremtrajectoryfluid with memorymodified Kelvin-Voigt model
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Fixed-point theorems (47H10) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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