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A nonlocal model describing tumor angiogenesis - MaRDI portal

A nonlocal model describing tumor angiogenesis (Q2105536)

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Language	Label	Description	Also known as
English	A nonlocal model describing tumor angiogenesis	scientific article

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scholarly article

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A nonlocal model describing tumor angiogenesis (English)

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zbMATH Open document ID

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10.1016/j.na.2022.113180

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Rafael Granero-Belinchón

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

8 December 2022

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full work available at URL

https://arxiv.org/abs/2203.07200

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Burgers equation

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dispersive equation

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angiogenesis

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MaRDI profile type

MaRDI publication profile

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Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation

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An approximate treatment of gravitational collapse.

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Model equations for long waves in nonlinear dispersive systems

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Fractal Burgers equations

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Global Existence of Weak Solutions for the Burgers--Hilbert Equation

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Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions

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On the generalized Buckley-Leverett equation

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Singularity formations for a surface wave model

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The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation

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A chemotaxis model motivated by angiogenesis

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Finite time singularities and global well-posedness for fractal Burgers equations

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Stability of solutions of chemotaxis equations in reinforced random walks

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Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

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Global solutions for a hyperbolic-parabolic system of chemotaxis

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On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis

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An aggregation equation with a nonlocal flux

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Enhanced Life Span of Smooth Solutions of a Burgers--Hilbert Equation

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Long time solutions for a Burgers-Hilbert equation via a modified energy method

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Wave breaking in the Whitham equation

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On Convergence of Solutions of Fractal Burgers Equation toward Rarefaction Waves

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Initiation of slime mold aggregation viewed as an instability

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Blow up and regularity for fractal Burgers equation

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A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis

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Mathematical modeling of the onset of capillary formation initiating angiogenesis

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ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS

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NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS

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Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis

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Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory

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On well-posedness for some dispersive perturbations of Burgers' equation

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Finite time blow up for a Navier-Stokes like equation

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Random walk with persistence and external bias

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The Wave Breaking for Whitham-Type Equations Revisited

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A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks

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Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks

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Shock formation in a chemotaxis model

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Mathematics(1 entry)

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