Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations
From MaRDI portal
Publication:2665492
DOI10.1016/J.NONRWA.2021.103360zbMath1478.35053OpenAlexW3165254468MaRDI QIDQ2665492
Jiangyan Yao, Xiongmei Fan, Sen Ming, Han Yang
Publication date: 19 November 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103360
Critical exponents in context of PDEs (35B33) Initial value problems for higher-order hyperbolic equations (35L30) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
Related Items (2)
Lifespan estimates of solutions to semilinear wave equations with damping term on the exterior domain ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations
- On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation
- Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture.
- Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
- The Glassey conjecture with radially symmetric data
- The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions
- Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds
- The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
- Nonlinear scattering theory at low energy
- Global existence and blow-up for semilinear wave equations with variable coefficients
- Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity
- Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
- Improvement on the blow-up of the wave equation with the scale-invariant damping and combined nonlinearities
- Strauss exponent for semilinear wave equations with scattering space dependent damping
- Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case
- Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
- An elementary proof of Strauss conjecture
- Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
- Lifespan estimate for semilinear wave equation in Schwarzschild spacetime
- Blow-up phenomena of semilinear wave equations and their weakly coupled systems
- The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
- Optimal scalar products in the Moore-Gibson-Thompson equation
- Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
- Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound
- Finite time blow up for critical wave equations in high dimensions
- Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
- Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
- Lifespan estimates of solutions to quasilinear wave equations with scattering damping
- A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Blow Up for Some Semilinear Wave Equations in Multi-space Dimensions
- Blow-up for quasi-linear wave equations in three space dimensions
- An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
- A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale‐invariant lower order terms
- Critical exponent for semi‐linear structurally damped wave equation of derivative type
- Feedback control of the acoustic pressure in ultrasonic wave propagation
- Life-Span of Solutions to Critical Semilinear Wave Equations
- Blow up of solutions to the Cauchy problem for nonlinear wave equations
This page was built for publication: Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations