The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds
From MaRDI portal
Publication:6500036
DOI10.1515/FORUM-2023-0139MaRDI QIDQ6500036
Publication date: 10 May 2024
Published in: Forum Mathematicum (Search for Journal in Brave)
Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions
- The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
- Global propagation of regular nonlinear hyperbolic waves
- Nonresonance and global existence of prestressed nonlinear elastic waves
- On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
- On one-dimension semi-linear wave equations with null conditions
- Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
- Resonance-type behaviour in a system of nonlinear wave equations
- The null condition and global existence of nonlinear elastic waves
- On one-dimension quasilinear wave equations with null conditions
- Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems
- Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems
- Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
- Space-Time Resonances and the Null Condition for First-Order Systems of Wave Equations
- The Existence of Global Solutions to Systems of Quasilinear Wave Equations with Quadratic Nonlinearities in 2-Dimensional Space
- Global solutions of nonlinear hyperbolic equations for small initial data
- Asymptotic Behavior of Global Classical Solutions of Quasilinear Hyperbolic Systems
- Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition
- The hidden null structure of the compressible Euler equations and a prelude to applications
- The null condition for quasilinear wave equations in two space dimensions. I
- A globally smooth solution to the relativistic string equation
This page was built for publication: The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds