Nonlocal approximation of nonlinear diffusion equations

Nonlocal approximation of nonlinear diffusion equations

Show other versions (1)

We show that degenerate nonlinear diffusion equations can be asymptotically obtained as a limit from a class of nonlocal partial differential equations. The nonlocal equations are obtained as gradient flows of interaction-like energies approximating the internal energy. We construct weak solutions a...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Carrillo, JA, Esposito, A, Wu, JS-H
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Springer Nature 2024

Eitemau Tebyg

Nonlocal approximation of nonlinear diffusion equations
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2024)

Phase transitions for nonlinear nonlocal aggregation-diffusion equations
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2021)

On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
gan: B. Ahmad, et al.
Cyhoeddwyd: (2014-01-01)

A finite volume approximations for one nonlinear and nonlocal integrodifferential equations
gan: Jaouad El Kasmy, et al.
Cyhoeddwyd: (2024-12-01)

A nonlocal diffusion problem that approximates the heat equation with Neumann boundary conditions
gan: Cesar A. Gómez, et al.
Cyhoeddwyd: (2020-01-01)

A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
gan: Tucker Hartland, et al.
Cyhoeddwyd: (2023-11-01)

Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source
gan: Guosheng Zhang, et al.
Cyhoeddwyd: (2013-01-01)

Approximating parameters in nonlinear reaction diffusion equations
gan: Robert R. Ferdinand
Cyhoeddwyd: (2001-07-01)

Porous medium equation and cross-diffusion systems as limit of nonlocal interaction
gan: Burger, M, et al.
Cyhoeddwyd: (2023)

Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
gan: Bonnaillie-Noël, V, et al.
Cyhoeddwyd: (2016)

Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces
gan: Mourad Kerboua, et al.
Cyhoeddwyd: (2014-12-01)

Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2019)

Uniform in time 𝐿∞-estimates for nonlinear aggregation-diffusion equations
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2018)

Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition
gan: Jian Wang, et al.
Cyhoeddwyd: (2018-09-01)

Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
gan: Mu Chunlai, et al.
Cyhoeddwyd: (2007-01-01)

Approximate solvability method for nonlocal impulsive evolution equation
gan: Ma Weifeng, et al.
Cyhoeddwyd: (2023-12-01)

Nonlocal-interaction equations on uniformly prox-regular sets
gan: Carrillo de la Plata, JA, et al.
Cyhoeddwyd: (2016)

The critical exponent for fast diffusion equation with nonlocal source
gan: Chunxiao Yang, et al.
Cyhoeddwyd: (2019-10-01)

Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation.
gan: Wei Liu, et al.
Cyhoeddwyd: (2018-01-01)

Nonlocal Reaction-Diffusion Equations in Population Dynamics
gan: V. Volpert
Cyhoeddwyd: (2019-11-01)

An implicit midpoint spectral approximation of nonlocal Cahn--Hilliard equations
gan: Benesova, B, et al.
Cyhoeddwyd: (2014)

Approximate Controllability of Neutral Measure Evolution Equations with Nonlocal Conditions
gan: Lina Ma, et al.
Cyhoeddwyd: (2021-01-01)

Approximate controllability of fractional nonlocal evolution equations with multiple delays
gan: He Yang, et al.
Cyhoeddwyd: (2017-09-01)

Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2019)

Equilibria of an anisotropic nonlocal interaction equation: analysis and numerics
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2021)

Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response
gan: Rui Yan, et al.
Cyhoeddwyd: (2017-01-01)

Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data
gan: Konstantinos T. Gkikas
Cyhoeddwyd: (2024-01-01)

Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions
gan: Igor Kossowski
Cyhoeddwyd: (2023-06-01)

Normalized solutions of NLS equations with mixed nonlocal nonlinearities
gan: Zhang Zhenyu, et al.
Cyhoeddwyd: (2024-05-01)

On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas
gan: Yehui Huang, et al.
Cyhoeddwyd: (2020-07-01)

Numerical solution of nonlinear elliptic equation with nonlocal condition
gan: Regimantas Čiupaila, et al.
Cyhoeddwyd: (2013-10-01)

Approximate controllability of nonlocal non-autonomous Sobolev type evolution equations
gan: Arshi Meraj, et al.
Cyhoeddwyd: (2019-07-01)

Approximate controllability of nonautonomous nonlocal delay differential equations with deviating arguments
gan: Rajib Haloi
Cyhoeddwyd: (2017-04-01)

On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
gan: Cancès, Clément, et al.
Cyhoeddwyd: (2023-02-01)

Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations
gan: Mehdi Nadjafikhah, et al.
Cyhoeddwyd: (2013-01-01)

Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
gan: Carrillo, JA, et al.
Cyhoeddwyd: (2021)

On a class of nonlocal continuity equations on graphs
gan: Esposito, A, et al.
Cyhoeddwyd: (2023)

An Accelerating Numerical Computation of the Diffusion Term in a Nonlocal Reaction-Diffusion Equation
gan: Mitică CRAUS, et al.
Cyhoeddwyd: (2020-11-01)

Asymptotic Approximation of the Solution of the Reaction-Diffusion-Advection Equation with a Nonlinear Advective Term
gan: Evgeny A. Antipov, et al.
Cyhoeddwyd: (2018-02-01)

Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption
gan: Yulan Wang, et al.
Cyhoeddwyd: (2012-01-01)