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This paper deals with a boundary-value problem for a coupled chemotaxis-Stokes system with nonlinear diffusion and a complicated nonlinear coupling term. The mathematical model considered herein appears as...
The linearized Boltzmann collision operator appears in many important applications of the Boltzmann equation. Therefore, knowing its main properties is of great interest. This work extends some classical results for the linearized Boltzmann collision operator for monatomic single species to the...
This article develops a theory of identification problems on a time scale. Parameter identification problems are discussed, which are helpful in determining the values of parameters that describe the system based on available information. We consider vector dynamic equations and solve ill-posed...
The stability of delta shock solution for the simplified magnetohydrodynamics equations is investigated carefully under the linear flux-function perturbation. Five different structures of Riemann solutions for our perturbed equations are solved in completely explicit situations. By analyzing all...
In this paper, we introduce a new modified self adaptive subgradient extragradient algorithm for solving pseudomonotone variational inequality problems and fixed point problems in Hilbert spaces. Precisely, we prove that the sequence generated by our algorithm is strongly convergent under some...
In the article, we aim to investigate the well-posedness of solution and the regularity of the global attractor for the couple stress fluid in saturated porous media with the local thermal non-equilibrium effect. To be more specific, we firstly show the existence and uniqueness of global weak...
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