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Results tagged with ap.analysis-of-pdes
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user 135784
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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Analytical Solution of Two Simultaneous Partial Differential Equations
I am looking for an analytic solution for the following two equations in the variables $v(x,t)$ and $u(x,t)$:
$$
\begin{cases}
\dfrac{\partial v}{\partial x} = -m\dfrac{\partial u}{\partial t} \\
\dfr …
- 11