Global weak solutions in a three-dimensional coral fertilization model involving the Navier-Stokes equations and arbitrary porous medium type diffusion

DOI10.1016/j.nonrwa.2022.103543zbMath1486.92021OpenAlexW4214705829MaRDI QIDQ2113919

Ji Liu

Publication date: 14 March 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103543

zbMATH Keywords

chemotaxisglobal existencenonlinear diffusionNavier-Stokes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Unnamed Item
• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• Reaction terms avoiding aggregation in slow fluids
• Reaction enhancement by chemotaxis
• Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
• Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
• Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
• Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
• Geometric theory of semilinear parabolic equations
• The Stokes operator in \(L_ R\) spaces
• Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
• A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
• Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains
• Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
• Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
• Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation
• Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
• Asymptotic behavior of classical solutions of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
• Large time behavior in a three-dimensional degenerate chemotaxis-Stokes system modeling coral fertilization
• A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
• Influence of flux limitation on large time behavior in a three-dimensional chemotaxis-Stokes system modeling coral fertilization
• Boundedness in a chemotaxis-(Navier-)Stokes system modeling coral fertilization with slow \(p\)-Laplacian diffusion
• Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
• Long-term behaviour in a chemotaxis-fluid system with logistic source
• Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
• A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
• Generalized Solutions to a Chemotaxis-Navier--Stokes System with Arbitrary Superlinear Degradation
• Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization
• Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization
• Biomixing by Chemotaxis and Enhancement of Biological Reactions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

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