Cover Image

Global existence and lower bounds in a class of tumor-immune cell interactions chemotaxis systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gnanasekaran, Shanmugasundaram, Columbu, Alessandro, Fuentes, Rafael Díaz, Nithyadevi, Nagarajan
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35A01, 35A09, 35B44, 92C17 (Primary) 65N06 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
by: Shanmugasundaram, Gnanasekaran, et al.
Published: (2025)

Global existence and stability in a class of chemotaxis systems with lethal interactions, nonlinear diffusion and production
by: Shanmugasundaram, Gnanasekaran, et al.
Published: (2025)

The simultaneous effect of chemotaxis and alarm-taxis on the global existence and stability of a predator-prey system
by: Shanmugasundaram, Gnanasekaran, et al.
Published: (2025)

Tumor-immune cell interactions by a fully parabolic chemotaxis model with logistic source
by: Fuentes, Rafael Díaz
Published: (2025)

Global existence and blow-up of solutions to the double nonlinear porous medium equation
by: Sabitbek, Bolys, et al.
Published: (2021)

Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
by: Fuentes, Rafael Díaz, et al.
Published: (2026)

Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis-haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
by: Surulescu, Christina, et al.
Published: (2019)

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups
by: Ruzhansky, Michael, et al.
Published: (2021)

Absence of dead-core formations in chemotaxis systems with degenerate diffusion
by: Black, Tobias
Published: (2024)

Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
by: Ferreira, Lucas C. F., et al.
Published: (2023)

On the existence of global solutions of second-order quasilinear elliptic inequalities
by: Kon'kov, A. A., et al.
Published: (2025)

Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade
by: Surulescu, Christina, et al.
Published: (2024)

Mathematical modeling and analysis for the chemotactic diffusion in porous media with incompressible Navier-Stokes equations over bounded domain
by: Ma, Fugui, et al.
Published: (2024)

Solutions to a chemotaxis system with spatially heterogeneous diffusion sensitivity
by: Flüchter, Gregor
Published: (2024)

Global solvability of a model for tuberculosis granuloma formation
by: Fuest, Mario, et al.
Published: (2024)

On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential
by: Le, Phuong
Published: (2024)

On Pompeiu's-Schiffer's Conjectures from Shape Optimization
by: Seck, Diaraf
Published: (2024)

Regularizing effect of the natural growth term in quasilinear problems with sign-changing nonlinearities
by: Tapia, José Carmona, et al.
Published: (2025)

Well-posedness and asymptotic behavior of solutions to a second order nonlocal parabolic MEMS equation
by: Wei, Yufei, et al.
Published: (2026)

Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders
by: Chowdhury, Indranil, et al.
Published: (2024)

Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier--Stokes system
by: Black, Tobias
Published: (2024)

Global existence and nonexistence of semilinear wave equation with a new condition
by: Sabitbek, Bolys
Published: (2021)

Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations
by: Kalousek, Martin, et al.
Published: (2020)

Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
by: Knosalla, Piotr, et al.
Published: (2024)

Global existence for the fully parabolic Keller--Segel system with critical mass on the plane
by: Hosono, Tatsuya
Published: (2026)

Boundary layer effects induced by the fluid in a chemotaxis-Navier-Stokes system
by: Hou, Qianqian
Published: (2025)

A doubly nonlinear elliptic problem with variable exponents, homogeneous Neumann conditions and generalized logistic source
by: Maxim, Bogdan
Published: (2025)

A general quasilinear elliptic problem with variable exponents and Neumann boundary conditions for image processing
by: Maxim, Bogdan
Published: (2025)

Uniqueness of the strong positive solution for a general quasilinear elliptic problem with variable exponents and homogeneous Neumann boundary conditions using a generalization of the $p(x)$-Díaz-Saa inequality
by: Maxim, Bogdan
Published: (2025)

Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
by: Guidolin, Patrícia L., et al.
Published: (2026)

Global-in-time Well-posedness of Classical Solutions to the Vacuum Free Boundary Problem for the Viscous Saint-Venant System with Large Data
by: Zhouping, Xin, et al.
Published: (2025)

The impact of Robin boundary condition on a chemotaxis-consumption-growth model
by: Knosalla, Piotr
Published: (2025)

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
by: Dukenbayeva, Aishabibi
Published: (2024)

Global existence and blow-up of solutions to porous medium equation for Baouendi-Grushin operator
by: Dukenbayeva, Aishabibi
Published: (2024)

Well-posedness of regular solutions for 3-D full compressible Navier-Stokes equations with degenerate viscosities and heat conductivity
by: Duan, Qin, et al.
Published: (2023)

Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect
by: Myint, Aung Zaw, et al.
Published: (2025)

Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
by: Campos, Juan, et al.
Published: (2021)

Well-posedness and Long-time Behavior of a Bulk-surface Coupled Cahn-Hilliard-diffusion System with Singular Potential for Lipid Raft Formation
by: Wu, Hao, et al.
Published: (2023)

Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
by: Lafleche, Laurent, et al.
Published: (2018)

On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
by: Fritz, Marvin
Published: (2023)