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Results tagged with differential-equations
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user 134889
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
1
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0
answers
196
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Suitable ansatz to the system of PDEs
I have the following three PDEs
\begin{eqnarray}
\frac{\partial \theta_h}{\partial x} + \beta_h (\theta_h - \theta_w) &=& 0,\\
\frac{\partial \theta_c}{\partial y} + \beta_c (\theta_c - \theta_w) …
- 47
1
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0
answers
54
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How to choose Eigenvaues for system extending in perpendicular direction?
I have two linear third order ODEs with a separation constant (eigenvalue parameter) on a rectangular domain where $x \in (0,1)$ and $y \in (0,1)$as follows:
$$
\lambda_h F''' - 2 \lambda_h \beta_h …
- 47
1
vote
1
answer
466
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Laplace equation with integral source terms
I am not specifically asking for a solution, but any reference on any method i could read about would be a big help. This I clarify as I am aware of the fact that MathOverflow only deals with research …
- 47
0
votes
0
answers
207
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3D Homogenous Laplace equation with integral boundary conditions
I have the 3D Laplace equation:
$$\nabla^{2} T_w = 0$$
where $\nabla^{2}=(\frac{\partial^{2}}{\partial x^2}+\frac{\partial^{2}}{\partial y^2}+\frac{\partial^{2}}{\partial z^2})$ defined on $x \in [0 …
- 47