Global well-posedness of stochastic 3D primitive equations with anticipating initial data
DOI10.1007/S10884-022-10211-9zbMATH Open1542.3531MaRDI QIDQ6567192
Boling Guo, Guoli Zhou, Zhao Dong, Lidan Wang
Publication date: 4 July 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Foundations of thermodynamics and heat transfer (80A05) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on \(\mathbb R^{3}\)
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
- On unique ergodicity in nonlinear stochastic partial differential equations
- Pathwise solutions of the 2-D stochastic primitive equations
- Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions
- Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
- Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity
- Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion
- 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Dynamics of stochastic 2D Navier-Stokes equations
- Strong pathwise solutions of the stochastic Navier-Stokes system
- The inviscid Burgers equation with initial data of Brownian type
- The inviscid Burgers equation with Brownian initial velocity
- The one-point statistics of viscous Burgers turbulence initialized with Gaussian data
- Periodic nonlinear Schrödinger equation and invariant measures
- The stable manifold theorem for non-linear stochastic systems with memory. I: Existence of the semiflow.
- The stable manifold theorem for non-linear stochastic systems with memory. II: The local stable manifold theorem.
- On the large time asymptotics of decaying Burgers turbulence
- Markov selection and \(W\)-strong Feller for 3D stochastic primitive equations
- Random attractor for the 3D viscous primitive equations driven by fractional noises
- Mathematical theory for the coupled atmosphere-ocean models (CAO III)
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Anticipating stochastic 2D Navier-Stokes equations
- Two-dimensional nonlinear Schrödinger equation with random radial data
- Finite dimensions of the global attractor for 3D primitive equations with viscosity
- Global well-posedness of stochastic 2D primitive equations with random initial conditions
- Stochastic 2D primitive equations: central limit theorem and moderate deviation principle
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- Large deviation principles for 3D stochastic primitive equations
- Absolute continuity of Brownian bridges under certain gauge transformations
- Probabilistic well-posedness for the cubic wave equation
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Long time dynamics for the one dimensional non linear Schrödinger equation
- The global attractor for the solutions to the 3D viscous primitive equations
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^d\), \(d \geq 3\)
- Singular vectors, predictability and ensemble forecasting for weather and climate
- Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Cauchy convergence schemes for some nonlinear partial differential equations
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- The Three-Dimensional Navier–Stokes Equations
- The Malliavin Calculus and Related Topics
- STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE
- New formulations of the primitive equations of atmosphere and applications
- On the equations of the large-scale ocean
- Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations
- On the regularity of the primitive equations of the ocean
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