Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation
DOI10.1088/1361-6544/ac64e0zbMath1491.35293arXiv2108.12183OpenAlexW3197101448MaRDI QIDQ5865781
Takahisa Inui, Masato Hoshino, Reika Fukuizumi
Publication date: 10 June 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.12183
stochastic partial differential equationswhite noisedamped nonlinear Klein-Gordon equationnon relativistic limitultra relativistic limit
Theoretical approximation in context of PDEs (35A35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Triviality of the 2D stochastic Allen-Cahn equation
- Invariant manifolds and dispersive Hamiltonian evolution equations
- Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
- Strong solutions to the stochastic quantization equations.
- Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
- Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise
- Stochastic complex Ginzburg-Landau equation with space-time white noise
- Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation
- Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise
- A remark on triviality for the two-dimensional stochastic nonlinear wave equation
- The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation
- A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations
- Time singular limit of semilinear wave equations with damping
- On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
- Fourier Analysis and Nonlinear Partial Differential Equations
- Long time dynamics for damped Klein-Gordon equations
- Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
- The nonrelativistic limit of the nonlinear Klein-Gordon equation
- Trivial solutions for a non-lineartwo-space dimensional wave equation perturbed by space-time white noise
- Renormalization of the two-dimensional stochastic nonlinear wave equations
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