Add to ORKGWe analyze a system of nonlinear partial differential equations modeling the stationary flow induced by the upward swimming of certain microorganisms in a fluid. We consider the realistic case in which the effective viscosity of the fluid depends on the concentration of such microorganisms. Under certain conditions, we prove the existence and uniqueness of solutions for such generalized bioconvective flow equation
In the deterministic continuum modelling of biofilms arise systems of degenerate parabolic equations...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...
We analyze a system of nonlinear partial differential equations modeling the stationary flow induced...
In this note, we prove the existence and uniqueness of weak solutions for the boundary value problem...
We introduce new necessary conditions for the existence and uniqueness of stationary weak solutions ...
In this work, we consider an optimal control problem for the generalized bioconvective flow, which i...
Abstract. The problem of a stationary generalized convective flow modelling bioconvection is conside...
We consider the existence and uniqueness of periodic solutions for the generalized bioconvective flo...
We consider the initial-boundary value problem for the coupled Navier-Stokes-Keller-Segel-Fisher-Kol...
We consider a model system for the collective behaviour of oxygen-driven swimming bacteria in an aqu...
In still water, the motion of many species of bacteria and algae is biased in a particular direction...
AbstractThe existence of traveling wave solutions for a reaction–diffusion, which serves as models f...
Bioconvection patterns are usually observed in the laboratory in shallow suspensions of randomly, bu...
Bioconvection is the phenomenon of pattern formation that can be observed in aqueous suspensions of ...
In the deterministic continuum modelling of biofilms arise systems of degenerate parabolic equations...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...
We analyze a system of nonlinear partial differential equations modeling the stationary flow induced...
In this note, we prove the existence and uniqueness of weak solutions for the boundary value problem...
We introduce new necessary conditions for the existence and uniqueness of stationary weak solutions ...
In this work, we consider an optimal control problem for the generalized bioconvective flow, which i...
Abstract. The problem of a stationary generalized convective flow modelling bioconvection is conside...
We consider the existence and uniqueness of periodic solutions for the generalized bioconvective flo...
We consider the initial-boundary value problem for the coupled Navier-Stokes-Keller-Segel-Fisher-Kol...
We consider a model system for the collective behaviour of oxygen-driven swimming bacteria in an aqu...
In still water, the motion of many species of bacteria and algae is biased in a particular direction...
AbstractThe existence of traveling wave solutions for a reaction–diffusion, which serves as models f...
Bioconvection patterns are usually observed in the laboratory in shallow suspensions of randomly, bu...
Bioconvection is the phenomenon of pattern formation that can be observed in aqueous suspensions of ...
In the deterministic continuum modelling of biofilms arise systems of degenerate parabolic equations...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...
We consider a Keller-Segel model coupled to the incompressible fluid equations which describes the d...