BOUNDEDNESS IN A BIOFILM-CHEMOTAXIS MODEL IN EVOLVING POROUS MEDIA
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Publication:5014465
DOI10.3846/13926292.2017.1389772zbMath1488.76141OpenAlexW2770407085MaRDI QIDQ5014465
Publication date: 8 December 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/13926292.2017.1389772
Nonlinear parabolic equations (35K55) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Biological fluid mechanics (76Zxx)
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Cites Work
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- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- A coupled chemotaxis-fluid model: global existence
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- On the well posedness of a class of PDEs including porous medium and chemotaxis effect
- Semigroups of linear operators and applications to partial differential equations
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On the global existence of solutions to an aggregation model
- Boundedness vs. blow-up in a chemotaxis system
- Crystal Precipitation and Dissolution in a Porous Medium: Effective Equations and Numerical Experiments
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- Remarks on Global Solvability of 2-D Boussinesq Equations with Non-Decaying Initial Data
- COUPLED CHEMOTAXIS FLUID MODEL
- Elliptic Partial Differential Equations of Second Order
- A critical exponent in a degenerate parabolic equation
- Strong solvability up to clogging of an effective diffusion–precipitation model in an evolving porous medium
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Derivation and analysis of an effective model for biofilm growth in evolving porous media
- An Effective Model for Biofilm Growth Made by Chemotactical Bacteria in Evolving Porous Media
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
