An inverse source problem for generalized Rayleigh-Stokes equations involving superlinear perturbations

DOI10.1016/j.jmaa.2021.125797OpenAlexW3212770177MaRDI QIDQ2059956

Tran Dinh Ke, Lam Tran Phuong Thuy, Pham Thanh Tuan

Publication date: 13 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125797

zbMATH Keywords

stabilityexistenceuniquenessparameter identificationstrong solutionnonlocal partial differential equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Inverse problems in fluid mechanics (76M21)

Related Items (6)

Final value problem for Rayleigh-Stokes type equations involving weak-valued nonlinearities ⋮ Filter regularization method for inverse source problem of the Rayleigh-Stokes equation ⋮ Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources ⋮ Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem ⋮ Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh-Stokes equations ⋮ Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources

Cites Work

• Unnamed Item
• An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
• The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
• The Rayleigh-Stokes problem for an edge in a viscoelastic fluid with a fractional derivative model
• The Rayleigh-Stokes problem for an edge in a generalized Oldroyd-B fluid
• Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian
• Fundamental solutions and decay of fully non-local problems
• An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
• Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh-Stokes problem
• Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data
• Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces
• Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives
• On Volterra integral equations with nonnegative integrable resolvents
• Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative
• Rayleigh–Stokes problem for non-Newtonian medium with memory
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
• Advanced Implicit Meshless Approaches for the Rayleigh–Stokes Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative
• Identification of source term for the Rayleigh‐Stokes problem with Gaussian random noise
• The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
• Existence and regularity of inverse problem for the nonlinear fractional Rayleigh‐Stokes equations
• Regularity of the solution for a final value problem for the Rayleigh‐Stokes equation

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