Global Existence of Smooth Solutions to an Initial-Boundary Value Problem of One-Dimensional MHD–Vlasov Equations

Global Existence of Smooth Solutions to an Initial-Boundary Value Problem of One-Dimensional MHD–Vlasov Equations

In this paper, the existence and uniqueness of the global smooth solution to an initial-boundary value problem of one-dimensional magnetohydrodynamics (MHD)–Vlasov equations are proved for large initial data. This equation is a fluid-particle system which consists of the compressible MHD equations f...

Full description

Saved in:

Bibliographic Details
Main Authors:	Peng Jiang, Enqi Lin, Lu Zhu
Format:	Article
Language:	English
Published:	Wiley 2025-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/jofs/5526332
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On local smooth solutions for the Vlasov equation with the potential of interactions ±r−2
by: Peter Zhidkov
Published: (2004-01-01)

Global stability for McKean–Vlasov equations on large networks
by: Christian Kuehn, et al.

One method to determine the solution values at the boundary for the vertical two-dimensional equation system
by: Tran Gia Lich
Published: (1998-09-01)

Global Existence of Solution to Initial Boundary Value Problem for Bipolar Navier-Stokes-Poisson System
by: Jian Liu, et al.
Published: (2014-01-01)

Global Existence and Decay Rate of Smooth Solutions for Full System of Partial Differential Equations for Three-Dimensional Compressible Magnetohydrodynamic Flows
by: Mohamed Ahmed Abdallah, et al.
Published: (2023-01-01)

Well-posedness of the MHD boundary layer equations with small initial data in Sobolev space
by: Xiaolei Dong
Published: (2024-12-01)

Evaluation of data driven low-rank matrix factorization for accelerated solutions of the Vlasov equation.
by: Bhavana Jonnalagadda, et al.
Published: (2025-01-01)

Evaluation of data driven low-rank matrix factorization for accelerated solutions of the Vlasov equation
by: Bhavana Jonnalagadda, et al.
Published: (2025-01-01)

The Existence of Solutions to Integral Boundary Value Problems of Fractional Differential Equations at Resonance
by: Yumei Zou, et al.
Published: (2017-01-01)

Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations
by: Noora Housain, et al.
Published: (2021-06-01)

Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation
by: Yaqiong Cui, et al.
Published: (2015-01-01)

Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation
by: Xia Liu, et al.
Published: (2018-01-01)

Existence of Sign-Changing Solutions to Equations Involving the One-Dimensional p-Laplacian
by: Ruyun Ma, et al.
Published: (2014-01-01)

Solution of certain problem with nonlocal boundary condition for one-dimensional wave equation
by: Elvira E. Gasanova, et al.
Published: (2024-10-01)

Existence of One-Signed Solutions of Discrete Second-Order Periodic Boundary Value Problems
by: Ruyun Ma, et al.
Published: (2012-01-01)

Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data
by: Ruxu Lian, et al.
Published: (2013-01-01)

A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
by: Ni Hua
Published: (2021-01-01)

Solution of applied one-dimensional linear boundary-value problems with automatic precision
by: A. V. Korovaytsev, et al.
Published: (2012-12-01)

Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations
by: Qiuping Li, et al.
Published: (2012-01-01)

Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
by: Changming Song, et al.
Published: (2014-01-01)

Robust smoothing of one‐dimensional data with missing and/or outlier values
by: Nasser Mourad
Published: (2021-07-01)

Classical Solutions to the Initial-Boundary Value Problems for Nonautonomous Fractional Diffusion Equations
by: Jia Mu, et al.
Published: (2020-01-01)

Local Polynomial Regression Solution for Partial Differential Equations with Initial and Boundary Values
by: Liyun Su, et al.
Published: (2012-01-01)

Global and Blow-Up Solutions for Nonlinear Hyperbolic Equations with Initial-Boundary Conditions
by: Ülkü Dinlemez, et al.
Published: (2014-01-01)

Approximated calculation of the Kirchhoff plate resting on the Vlasov foundation with selected boundary conditions
by: Konstantin Rusakov, et al.
Published: (2021-10-01)

Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
by: Bashir Ahmad, et al.
Published: (2009-01-01)

The Existence of Positive Solution to Three-Point Singular Boundary Value Problem of Fractional Differential Equation
by: Yuansheng Tian, et al.
Published: (2009-01-01)

Existence and multiplications of solutions for a class of equation with a non-smooth potential
by: Fariba Fattahi, et al.
Published: (2015-12-01)

Positive Solutions for Discrete Boundary Value Problems to One-Dimensional p-Laplacian with Delay
by: Linjun Wang, et al.
Published: (2013-01-01)

Existence of maximal and minimal solutions initial value problem for the system of fractal differential equations
by: Mohammad Sajid, et al.
Published: (2025-08-01)

The existence of positive solutions for an elliptic boundary value problem
by: G. A. Afrouzi
Published: (2005-01-01)

On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium
by: D. A. Vorotnikov, et al.
Published: (2004-01-01)

Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation
by: S. R. Mishra, et al.
Published: (2014-01-01)

Hyperbolic reduced model for Vlasov-Poisson equation with Fokker-Planck collision*
by: Franck Emmanuel, et al.
Published: (2024-01-01)

Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation
by: Huichol Choi, et al.
Published: (2019-01-01)

Existence and Nonexistence of Positive Solutions for High-Order Fractional Differential Equation Boundary Value Problems at Resonance
by: Yongqing Wang, et al.
Published: (2020-01-01)

Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
by: Min Jiang, et al.
Published: (2014-01-01)

The Gyrokinetic Limit for the Two-Dimensional Vlasov–Yukawa System with a Point Charge
by: Xianghong Hu, et al.
Published: (2025-01-01)

In memory of Andrei A. Vlasov
by: M. I. Shperling, et al.
Published: (2024-04-01)

On the solutions of nonlinear initial-boundary value problems
by: Vladimír Ďurikovič, et al.
Published: (2004-01-01)