Examples of 'cauchy problem' in a sentence
Meaning of "cauchy problem"
cauchy problem - In mathematics, specifically in the field of partial differential equations, a Cauchy problem refers to the problem of finding a solution to a partial differential equation that satisfies prescribed initial conditions
Show more definitions
- For a given m-order partial differential equation, the problem of finding a solution function u on ℝⁿ that satisfies the boundary conditions that, for a smooth manifold S⊂ℝⁿ, u(x)=f_0(x) and (∂ᵏu(x))/(∂nᵏ)=f_k(x), ∀x∈S, k=1…m-1, given specified functions f_k defined on, and vector n normal to, the manifold.
How to use "cauchy problem" in a sentence
Basic
Advanced
cauchy problem
Cauchy problem for thermal conductivity equation.
Dispersive properties of solutions of homogeneous Cauchy problem are proved.
Cauchy problem for a wave equation.
Theorem of uniqueness of solution to Cauchy problem for a wave equation.
Solution to Cauchy problem for a heterogeneous equation.
Theorem of existence and uniqueness of the solution to Cauchy problem.
We consider the Cauchy problem in the critical Besov spaces with the lowest regularity.
The general solution and solution to Cauchy problem in matrix form.
Cauchy problem describing the vertical motion of the droplet evaporating under the Sreznevsky law.
Theorem of existence and uniqueness of the solution to Cauchy problem for a normal system.
The third part deals with the Cauchy problem for various equations occurring in nonlinear optics.
Cauchy problem for two - dimensional wave equation.
And satisfies the Cauchy problem.
Cauchy problem for three - dimensional wave equation.
We consider the Cauchy problem.
See also
Finally, the Cauchy problem is tackled by the front tracking method.
Global well-posedness is verified for the cauchy problem in a suitable functional space.
Workshop on the Cauchy problem for the Einstein equations.
The hyperbolic equations constitute a broad class of equations for which the Cauchy problem is well-posed.
A concept related to the Cauchy problem is that of a non-characteristic surface.
Example 2 We find the solution of the Cauchy problem.
In the first chapter, we give the Cauchy problem and report classical theoretical results.
Abstract, This thesis studies some aspects of the Cauchy problem for the water waves equation.
Abstract, We consider the Cauchy problem for first-order, quasilinear systems of PDEs.
Abstract, This thesis investigates the Cauchy problem for some quasilinear dispersive equations.
Secondly, we consider the Cauchy problem for the spatially nhomogeneous non-cuto _ Kac equation.
You'll also be interested in:
Examples of using Problem
Show more
The problem is this is meant to be a family trip
I heard you got a problem with ghosts
Not a problem because we have her here
Examples of using Cauchy
Show more
Cauchy problem for thermal conductivity equation
This is the Cauchy form of the remainder
Cauchy did not even read his thesis
