DOI10.1090/tran/6733zbMath1356.35071arXiv1506.05592OpenAlexW1988706722MaRDI QIDQ2960425
Michael Winkler
Publication date: 9 February 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05592
Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier-Stokes system with logistic proliferation,
Linear stability of blowup solution of incompressible Keller-Segel-Navier-Stokes system,
Global solutions and large time behavior for the chemotaxis-shallow water system,
Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption,
A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation,
Global existence of solutions without Dirac-type singularity to a chemotaxis-fluid system with arbitrary superlinear degradation,
Large time behavior in a fractional chemotaxis-Navier-Stokes system with competitive kinetics,
Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization,
Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions,
Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,
Convergence rates of solutions for a two-species chemotaxis-Navier-Stokes system with competitive kinetics,
Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity,
Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system,
Decay estimate of solutions to the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\),
A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal,
Local and global existence of solutions of a Keller-Segel model coupled to the incompressible fluid equations,
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production,
Optimal time-decay rates of the Keller-Segel system coupled to compressible Navier-Stokes equation in three dimensions,
Small-convection limit for two-dimensional chemotaxis-Navier-Stokes system with logarithmic sensitivity and logistic-type source,
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system,
Global existence of weak solutions for the 3D axisymmetric chemotaxis-Navier-Stokes equations with nonlinear diffusion,
A new result for global solvability to a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant,
Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system,
Singular sensitivity in a Keller-Segel-fluid system,
Global existence and boundedness in a 2D Keller-Segel-Stokes system,
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system,
Global solutions to a 3D chemotaxis-Stokes system with nonlinear cell diffusion and Robin signal boundary condition,
Asymptotic behavior of classical solutions of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization,
Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions,
Global well-posedness for the two-dimensional coupled chemotaxis-generalized Navier-Stokes system with logistic growth,
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion,
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity,
Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \),
Global classical solutions for chemotaxis-fluids system with mixed boundary conditions,
An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation,
Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces,
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow,
How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis-Navier-Stokes system?,
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system,
Time periodic solution to a coupled chemotaxis-fluid model with porous medium diffusion,
Global existence of almost energy solution to the two-dimensional chemotaxis-Navier-Stokes equations with partial diffusion,
A new result for global existence and boundedness in a three-dimensional self-consistent chemotaxis-fluid system with nonlinear diffusion,
Global existence and asymptotic stability of the fractional chemotaxis-fluid system in \(\mathbb{R}^3\),
Boundedness in a chemotaxis-fluid system involving a gradient-dependent flux limitation and indirect signal production mechanism,
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement,
Global weak solutions for a 3D chemotaxis-Stokes system with slow \(p\)-Laplacian diffusion and rotation,
Stabilization in a two-dimensional attraction-repulsion Stokes system with consumption of chemoattractant,
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization,
Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model,
A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization,
Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source,
Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source,
Large time behavior in a chemotaxis-Stokes system modeling coral fertilization with arbitrarily slow porous medium diffusion,
Boundedness of weak solutions in a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion,
Existence, uniqueness and decay estimates on mild solutions to fractional chemotaxis-fluid systems,
Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities,
A \(3D\) self-consistent chemotaxis-fluid system with nonlinear diffusion,
Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source,
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components,
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D,
Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions,
Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation,
Global bounded weak solutions and asymptotic behavior to a chemotaxis-Stokes model with non-Newtonian filtration slow diffusion,
Can fluid interaction influence the critical mass for taxis-driven blow-up in bounded planar domains?,
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation,
A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term,
Global mass-preserving solutions for a two-dimensional chemotaxis system with rotational flux components coupled with a full Navier-Stokes equation,
Does repulsion-type directional preference in chemotactic migration continue to regularize Keller-Segel systems when coupled to the Navier-Stokes equations?,
Global classical solutions to two-dimensional chemotaxis-shallow water system,
Time periodic solutions for a two-species chemotaxis-Navier-Stokes system,
Prescribed signal concentration on the boundary: weak solvability in a chemotaxis-Stokes system with proliferation,
Boundedness and asymptotic behavior to a chemotaxis-fluid system with singular sensitivity and logistic source,
The Stokes limit in a three-dimensional chemotaxis-Navier-Stokes system,
Boundedness in a chemotaxis-(Navier-)Stokes system modeling coral fertilization with slow \(p\)-Laplacian diffusion,
Global classical solutions for the 2D four-component chemotaxis-Navier-Stokes equations,
To what extent is cross-diffusion controllable in a two-dimensional chemotaxis-(Navier-)Stokes system modeling coral fertilization,
Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal,
Global classical solutions and stabilization in a two-dimensional parabolic-elliptic Keller-Segel-Stokes system,
Stabilization of the chemotaxis-Navier-Stokes equations: maximal regularity approach,
Boundedness of weak solutions of a chemotaxis-Stokes system with slow \(p\)-Laplacian diffusion,
Global boundedness of weak solutions for a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and rotation,
Global existence for a two-species chemotaxis-Navier-Stokes system with \(p\)-Laplacian,
Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source,
Time periodic solution to a two-species chemotaxis-Stokes system with \(p\)-Laplacian diffusion,
Large-time behavior in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with signal absorption,
Small-data solutions of chemotaxis-fluid system with indirect signal production,
Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction,
Boundedness and asymptotic behavior in a Keller-Segel(-Navier)-Stokes system with indirect signal production,
Saturation of the signal on the boundary: global weak solvability in a chemotaxis-Stokes system with porous-media type cell diffusion,
Global boundedness and stabilization in a two-competing-species chemotaxis-fluid system with two chemicals,
Boundedness in a 2D chemotaxis-Stokes system with general sensitivity and nonlinear diffusion,
Existence results for chemotaxis-shallow water system with degenerate viscosity coefficients and initial vacuum,
Global classical solutions in a self-consistent chemotaxis-fluid system with gradient-dependent flux limitation,
Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces,
The small-convection limit in a two-dimensional chemotaxis-Navier-Stokes system with density-dependent motion,
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system,
Uniform in time solutions for a chemotaxis with potential consumption model,
Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux,
Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type,
Global existence and boundedness in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity,
The global solvability of the Cauchy problem for a multi-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization,
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal,
Global solutions to the free boundary value problem of a chemotaxis-Navier–Stokes system,
On a repulsion Keller–Segel system with a logarithmic sensitivity,
Well-posedness for chemotaxis–fluid models in arbitrary dimensions*,
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary,
Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary,
A critical blow-up exponent in a chemotaxis system with nonlinear signal production,
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision,
Boundedness in a quasilinear chemotaxis model with consumption of chemoattractant and logistic source,
Dynamics of a predator–prey system with nonlinear prey-taxis,
On a multistable type of free boundary problem with a flux at the boundary,
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity,
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions,
An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models,
Eventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumption,
Two New Functional Inequalities and Their Application to the Eventual Smoothness of Solutions to a Chemotaxis-Navier–Stokes System with Rotational Flux,
Global solvability and stabilization in a chemotaxis(-Navier)-Stokes system with proliferation,
Boundary layer problem on the chemotaxis model with Robin boundary conditions,
Asymptotic stabilization in a three-dimensional Keller-Segel-Stokes system with indirect signal production and subquadratic degradation,
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source,
On the stability to Keller-Segel system coupled with Navier-Stokes equations in Besov-Morrey spaces,
Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity,
A diffuse-domain-based numerical method for a chemotaxis-fluid model,
Global boundedness in a 3D quasilinear Keller-Segel-Stokes system with nonlinear sensitivity and indirect signal production,
Global well-posedness for a two-dimensional Keller-Segel-Euler system of consumption type,
Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes,
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?,
Solutions with positive components to quasilinear parabolic systems,
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity under Dirichlet signal boundary condition,
Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations,
Boundedness in a two‐dimensional self‐consistent chemotaxis–Navier–Stokes system with nonlinear diffusion,
Global Existence and Asymptotic Behavior of Classical Solutions for a 3D Two-Species Keller-Segel-Stokes System with Competitive Kinetics,
Keller–Segel–Stokes interaction involving signal‐dependent motilities,
Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term,
Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness,
A note to the large-time behavior of a 3D chemotaxis-Navier-Stokes system with porous medium slow diffusion,
Global solutions for chemotaxis-fluid systems with singular chemotactic sensitivity,
Boundedness in a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant and sub-quadratic degradation,
Does Leray's structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?,
Time periodic solution to chemotaxis-shallow water system in a periodic domain,
Finite-time blow-up in a repulsive chemotaxis-consumption system,
Global solvability in a two-dimensional singular chemotaxis-fluid system with indirect signal production or consumption,
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,
Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System,
Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization,
Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings,
Stabilization in a two‐dimensional fractional chemotaxis‐Navier–Stokes system with logistic source,
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis,
Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals,
Investigation of the global dynamics of two exponential-form difference equations systems,
A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion,
How far do indirect signal production mechanisms regularize the three-dimensional Keller-Segel-Stokes system?,
Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention,
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,
A general cell–fluid Navier–Stokes model with inclusion of chemotaxis,
Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation,
Asymptotic dynamics on a chemotaxis-Navier–Stokes system with nonlinear diffusion and inhomogeneous boundary conditions,
Global existence and uniqueness of solutions to a chemotaxis system,
Cross-diffusion models: Analytic and multiscale problems,
Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow,
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization,
A note on the global existence of a two-dimensional chemotaxis-Navier–Stokes system,
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity,
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions,
The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data,
A multiscale view of nonlinear diffusion in biology: From cells to tissues,
Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen,
The rates of convergence for the chemotaxis-Navier–Stokes equations in a strip domain,
Global well-posedness for the 2D chemotaxis-fluid system with logistic source,
Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization,
Chemotactic cross-diffusion in complex frameworks,
On the $8\pi$-Critical-Mass Threshold of a Patlak--Keller--Segel--Navier--Stokes System,
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions,
GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR IN A THREE-DIMENSIONAL TWO-SPECIES CHEMOTAXIS-STOKES SYSTEM WITH TENSOR-VALUED SENSITIVITY,
Eventual Smoothness and Exponential Stabilization of Global Weak Solutions to Some Chemotaxis Systems,
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model,
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary,
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,
Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production