Cover Image

Well-posedness for a fourth-order nonisothermal tumor growth model of Caginalp type

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cavalleri, Giulia, Colli, Pierluigi, Rocca, Elisabetta
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 5K61, 35K35, 35D30, 35B65, 35A02, 35Q92, 92C50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
by: Cavalleri, Giulia, et al.
Published: (2025)

Optimal control for a fourth-order nonisothermal tumor growth model of Caginalp type
by: Cavalleri, Giulia, et al.
Published: (2026)

Weak solutions and weak-strong uniqueness for a Cahn-Hilliard type model with chemotaxis
by: Lasarzik, Robert, et al.
Published: (2026)

Mathematical analysis of a model-constrained inverse problem for the reconstruction of early states of prostate cancer growth
by: Beretta, Elena, et al.
Published: (2024)

A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)

Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn-Hilliard system with singular potentials and its Robin approximation
by: Lv, Maoyin, et al.
Published: (2024)

On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior
by: Lv, Maoyin, et al.
Published: (2024)

Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
by: Chen, Xiuqing, et al.
Published: (2025)

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions
by: Takeuchi, Taiki, et al.
Published: (2025)

On a modified Cahn-Hilliard-Brinkman model with chemotaxis and nonlinear sensitivity
by: Schimperna, Giulio
Published: (2024)

Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model
by: Fornoni, Matteo
Published: (2024)

Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)

Well-posedness and long-time behavior of a bulk-surface Cahn--Hilliard model with non-degenerate mobility
by: Stange, Jonas
Published: (2025)

Well-posedness of aggregation-diffusion systems with irregular kernels
by: Carrillo, José A., et al.
Published: (2024)

A cross-diffusion system with independent drifts and fast diffusion
by: Elbar, Charles, et al.
Published: (2025)

Iterative algorithms for the reconstruction of early states of prostate cancer growth
by: Beretta, Elena, et al.
Published: (2024)

Refining Hölder regularity theory in degenerate drift-diffusion equations
by: Black, Tobias
Published: (2024)

Global weak solutions to a strongly degenerate haptotaxis model
by: Winkler, Michael, et al.
Published: (2016)

Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
by: Colli, Pierluigi, et al.
Published: (2024)

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)

Well-posedness of a bulk-surface convective Cahn--Hilliard system with dynamic boundary conditions
by: Knopf, Patrik, et al.
Published: (2024)

Strong well-posedness and separation properties for a bulk-surface convective Cahn--Hilliard system with singular potentials
by: Knopf, Patrik, 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)

Lipschitz stability for Bayesian inference in porous medium tissue growth models
by: Dębiec, Tomasz, et al.
Published: (2025)

Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
by: Hurm, Christoph, et al.
Published: (2024)

Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
by: Zhigun, Anna
Published: (2024)

A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
by: Hirvonen, Peter, et al.
Published: (2026)

Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
by: Grasselli, Maurizio, et al.
Published: (2024)

Global existence for a system without self-diffusion and different mobilities
by: Elbar, Charles
Published: (2026)

Integral Harnack estimates and the rate of extinction of singular fractional diffusion
by: Cassanello, Filippo M., et al.
Published: (2026)

Weak global solvability of a doubly degenerate parabolic-elliptic nutrient taxis system
by: Herrero-Hervás, Federico
Published: (2026)

Global stability in a negative chemotaxis system with chemically induced lethality
by: Herrero-Hervás, Federico, et al.
Published: (2026)

Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
by: Hassan, Zulaihat, et al.
Published: (2025)

Global solutions to cross-diffusion systems with independent advections in one dimension
by: Skrzeczkowski, Jakub
Published: (2026)

Hölder regularity for degenerate parabolic double-phase equations
by: Kim, Wontae, et al.
Published: (2024)

Weak-strong uniqueness for general cross-diffusion systems with volume filling
by: Heitzinger, Maria, et al.
Published: (2025)

Regularity of a bulk-surface Cahn-Hilliard model driven by Leray velocity fields
by: Giorgini, Andrea, et al.
Published: (2025)

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

On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)

Optimal control on a brain tumor growth model with lactate metabolism, viscoelastic effects, and tissue damage
by: Cavalleri, Giulia, et al.
Published: (2025)