List questions from linear-pde

Published on 25 Mar 2026 - 9:50

151

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Convection–diffusion equation in dimension $n$

Published on 26 Mar 2026 - 11:16

125

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General solution of a specific eigenvalue problem.

Published on 13 Jun 2017 - 16:48

134

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Solving a diffusion-convection type linear partial differential equation

Published on 23 Jun 2017 - 14:00

659

Views

Explicit solution to the advection-reaction equation?

Published on 27 Jun 2017 - 17:55

133

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space-dependent 2D advection-diffusion equation

Published on 26 Mar 2026 - 12:52

2.6k

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What is a good way to show that PDE is linear

Published on 05 Jul 2017 - 15:35

292

Views

Existence/uniqueness of matrix differential equation in multiple variables

Published on 07 Jul 2017 - 14:32

230

Views

Uniqueness of solutions of quasilinear equation $(y+u)\frac{\partial u}{\partial x} +y\frac{\partial u}{\partial y} = x-y$

Published on 15 Jul 2017 - 19:37

937

Views

Representation formula for the Laplace equation

Published on 31 Jul 2017 - 5:29

468

Views

Method of characteristics for a first-order linear PDE: $D_t u + xD_x u = t^3$

Published on 27 Mar 2026 - 6:17

178

Views

Existence of a non-constant polynomial solution for $ y\partial_x u + (-3y-2x)\partial_yu = 0$ in $\mathbb{R}^2$

Published on 01 Aug 2017 - 16:51

139

Views

Formal Methods for Solving linear PDEs

Published on 01 Aug 2017 - 21:46

316

Views

Puzzling fact about advection/convection diffusion equation in one dimension

Published on 09 Aug 2017 - 18:46

125

Views

Solving a PDE geometrically

Published on 28 Aug 2017 - 8:58

List Question

Why are $\cosh$ and $\sinh$ used in solving this case of Laplace's equation?

Convection–diffusion equation in dimension $n$

General solution of a specific eigenvalue problem.

Solving a diffusion-convection type linear partial differential equation

Explicit solution to the advection-reaction equation?

space-dependent 2D advection-diffusion equation

What is a good way to show that PDE is linear

Existence/uniqueness of matrix differential equation in multiple variables

Uniqueness of solutions of quasilinear equation $(y+u)\frac{\partial u}{\partial x} +y\frac{\partial u}{\partial y} = x-y$

Representation formula for the Laplace equation

Method of characteristics for a first-order linear PDE: $D_t u + xD_x u = t^3$

Existence of a non-constant polynomial solution for $ y\partial_x u + (-3y-2x)\partial_yu = 0$ in $\mathbb{R}^2$

Formal Methods for Solving linear PDEs

Puzzling fact about advection/convection diffusion equation in one dimension

Solving a PDE geometrically

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