• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Analysis

Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations

Article ID Journal Published Year Pages File Type
8899119 Journal of Differential Equations 2018 29 Pages PDF
Abstract
We prove the global existence of weak solution pair to the initial boundary value problem for a system of m-Laplacian type diffusion equation and nonlinear wave equation. The interaction of two equations is given through nonlinear source terms f(u,v) and g(u,v).
Keywords
35L7135M3035K9235M13SystemNonlinear wave equationNonlinear diffusion equationGlobal existence
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations
Authors
Mitsuhiro Nakao,
Related Articles
Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV
Slow motion for the 1D Swift–Hohenberg equation
Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles
Short-range scattering of Hartree type fractional NLS
Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation
Existence of traveling waves with the critical speed for a discrete diffusive epidemic model
Rough differential equations with unbounded drift term
On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown
Beyond the Melnikov method: A computer assisted approach
Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35L71
35M30
35K92
35M13
System
Nonlinear wave equation
Nonlinear diffusion equation
Global existence
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear Analysis: Hybrid Systems
Expositiones Mathematicae
Journal of Functional Analysis
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Applied and Computational Harmonic Analysis
Differential Geometry and its Applications
Journal of Approximation Theory
Journal of Complexity
Journal of Mathematical Analysis and Applications
Transactions of A. Razmadze Mathematical Institute
Daneshyari provides fulltext access to millions of research papers.