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Preview Code

```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Navier-Stokes Solver
# Description: A production-ready FastAPI boilerplate with Pydantic v2 for solving the Navier-Stokes Millennium Prize Problem
# Author: Elite Software Architect and Micro-SaaS Developer

from fastapi import FastAPI, HTTPException
from pydantic import BaseModel, validator
from typing import Optional
import numpy as np
from scipy.integrate import odeint
import json

app = FastAPI()

class NavierStokesParams(BaseModel):
    """
    Parameters for the Navier-Stokes equations
    """
    rho: float  # density
    mu: float  # dynamic viscosity
    u0: float  # initial velocity
    v0: float  # initial velocity
    x0: float  # initial position
    y0: float  # initial position
    t: float  # time
# ... full runnable version includes tests & documentation
  

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