Turnitin
降AI改写
早检测系统
早降重系统
Turnitin-UK版
万方检测-期刊版
维普编辑部版
Grammarly检测
Paperpass检测
checkpass检测
PaperYY检测
[ספר][B] Encyclopedia of nonlinear science
A Scott - 2006 - taylorfrancis.com
In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …
mathematical background for nonlinear science, as well as its applications to key problems …
Harmonic analysis tools for solving the incompressible Navier–Stokes equations
M Cannone - Handbook of mathematical fluid dynamics, 2005 - Elsevier
Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …
partial differential equations of mathematical physics represent the foundation of our …
[ספר][B] Random walk, Brownian motion, and martingales
RN Bhattacharya, EC Waymire - 2021 - Springer
The theory of stochastic processes has numerous and longstanding significant interactions
with pure and applied mathematics as well as most branches of physical and biological …
with pure and applied mathematics as well as most branches of physical and biological …
A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations
In this paper we derive a probabilistic representation of the deterministic three‐dimensional
Navier‐Stokes equations based on stochastic Lagrangian paths. The particle trajectories …
Navier‐Stokes equations based on stochastic Lagrangian paths. The particle trajectories …
Probability & incompressible Navier-Stokes equations: An overview of some recent developments
EC Waymire - 2005 - projecteuclid.org
This is largely an attempt to provide probabilists some orientation to an important class of
non-linear partial differential equations in applied mathematics, the incompressible Navier …
non-linear partial differential equations in applied mathematics, the incompressible Navier …
A stochastic-Lagrangian approach to the Navier–Stokes equations in domains with boundary
P Constantin, G Iyer - 2011 - projecteuclid.org
In this paper we derive a probabilistic representation of the deterministic 3-dimensional
Navier–Stokes equations in the presence of spatial boundaries. The formulation in the …
Navier–Stokes equations in the presence of spatial boundaries. The formulation in the …
Harmonic analysis of Mandelbrot cascades--in the context of vector-valued martingales
X Chen, Y Han, Y Qiu, Z Wang - arxiv preprint arxiv:2409.13164, 2024 - arxiv.org
We solve a long-standing open problem of determining the Fourier dimension of the
Mandelbrot canonical cascade measure (MCCM). This problem of significant interest was …
Mandelbrot canonical cascade measure (MCCM). This problem of significant interest was …
The fundamental solution of the linearized Navier–Stokes equations for spinning bodies in three spatial dimensions–time dependent case
Explicit formulae for the fundamental solution of the linearized time dependent Navier–
Stokes equations in three spatial dimensions are obtained. The linear equations considered …
Stokes equations in three spatial dimensions are obtained. The linear equations considered …
[HTML][HTML] Stochastic solutions and singular partial differential equations
Stochastic solutions is a robust technique previously used to obtain new exact solutions for
deterministic nonlinear partial differential equations as well as numerical algorithms suited …
deterministic nonlinear partial differential equations as well as numerical algorithms suited …
Doubly stochastic Yule cascades (Part I): The explosion problem in the time-reversible case
Motivated by the probabilistic methods for nonlinear differential equations introduced by
McKean (1975) for the Kolmogorov-Petrovski-Piskunov (KPP) equation, and by Le Jan and …
McKean (1975) for the Kolmogorov-Petrovski-Piskunov (KPP) equation, and by Le Jan and …