Cover Image

Gradient Flows for the $p$-Laplacian Arising from Biological Network Models: A Novel Dynamical Relaxation Approach

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Haskovec, Jan, Markowich, Peter, Zampini, Stefano
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Numerical Analysis Optimization and Control 35G61, 35K57, 35D30, 65M60, 65F08, 65Y05, 65H10, 92C42
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Relaxation Schemes for Flows in Networks: Application to Shallow Water and Blood Flow Equations
by: Tenna, Tommaso
Published: (2025)

Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue
by: Feng, Xiaobing, et al.
Published: (2024)

Emergence of biological transportation networks as a self-regulated process
by: Haskovec, Jan, et al.
Published: (2022)

Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
by: Antonietti, Paola F., et al.
Published: (2025)

A discrete data assimilation algorithm for the reconstruction of Gray--Scott dynamics
by: Randrianasolo, Tsiry Avisoa
Published: (2025)

Convergence and error analysis of a semi-implicit finite volume scheme for the Gray--Scott system
by: Randrianasolo, Tsiry Avisoa
Published: (2025)

Embedding transmission problems for Maxwell's equations into elliptic theory
by: Godin, Yuri A., et al.
Published: (2026)

A posteriori analysis for nonlinear convection-diffusion systems
by: Dedner, Andreas, et al.
Published: (2025)

Homogenisation for Maxwell and Friends
by: Buchinger, Andreas, et al.
Published: (2024)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

A Stochastic Genetic Interacting Particle Method for Reaction-Diffusion-Advection Equations
by: Hu, Boyi, et al.
Published: (2025)

Discrete Laplacians on the hyperbolic space -- a comparative study
by: Bucataru, Mihai, et al.
Published: (2024)

A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
by: Gyamfi, Kwame Atta
Published: (2024)

Stochastic Galerkin Method and Hierarchical Preconditioning for PDE-constrained Optimization
by: Li, Zhendong, et al.
Published: (2025)

A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System
by: Wang, Zhongjian, et al.
Published: (2023)

Evolution of multiple closed knotted curves in space
by: Kolar, Miroslav, et al.
Published: (2024)

A minimax method for the spectral fractional Laplacian and related evolution problems
by: Carrillo, José A., et al.
Published: (2025)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
by: Dhaouadi, Firas, et al.
Published: (2024)

Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media
by: Angermann, Lutz
Published: (2019)

Physics-based stabilized finite element approximations of the Poisson--Nernst--Planck equations
by: Bonilla, Jesús, et al.
Published: (2024)

Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems
by: Giesselmann, Jan, et al.
Published: (2023)

Analysis and numerical simulation of a spatio-temporal Ricker-type model for the control of Aedes aegypti mosquitoes with Sterile Insect Techniques
by: Escobar-Lasso, Oscar Eduardo, et al.
Published: (2026)

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

Reduced dynamics for models of pattern formation
by: Hausenblas, Erika, et al.
Published: (2024)

Constructive proofs for some semilinear PDEs on $H^2(e^{|x|^2/4},\mathbb{R}^d)$
by: Breden, Maxime, et al.
Published: (2024)

Convergence of a finite volume scheme for a model for ants
by: Bruna, Maria, et al.
Published: (2025)

A convergent interacting particle method for computing KPP front speeds in random flows
by: Zhang, Tan, et al.
Published: (2023)

Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
by: Aggarwal, Aekta, et al.
Published: (2026)

Robust and scalable nonlinear solvers for finite element discretizations of biological transportation networks
by: Haskovec, Jan, et al.
Published: (2025)

A time-fractional Fisher-KPP equation for tumor growth: Analysis and numerical simulation
by: Fritz, Marvin, et al.
Published: (2025)

A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
by: Antonietti, Paola F., et al.
Published: (2025)

Deterministic particle method for nonlinear nonlocal scalar balance equations
by: Radici, Emanuela, et al.
Published: (2024)

Time derivative estimates for parabolic $p$-Laplace equations and applications to optimal regularity
by: Lee, Se-Chan, et al.
Published: (2025)

Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian
by: Csató, Gyula, et al.
Published: (2024)

Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
by: Samantaray, Saurav
Published: (2024)

Drift-diffusion equations with saturation
by: Carrillo, José Antonio, et al.
Published: (2024)

Classification of blow-ups for the Alt--Phillips problem in three dimensions
by: Fernández-Real, Xavier
Published: (2026)

Neural network-enhanced $hr$-adaptive finite element algorithm for parabolic equations
by: Hao, Jiaxiong, et al.
Published: (2025)

FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
by: Hernández-Santamaría, Víctor, et al.
Published: (2023)