List questions from transport-equation

Published on 25 Mar 2026 - 9:43

906

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Handling the domain's edge with central differences

Published on 25 Mar 2026 - 9:33

359

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Solutions to the linear nonuniform transport equation

Published on 25 Mar 2026 - 9:36

92

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$y_t+-\epsilon .y_{xx}+ M.y_x=0\, ;(x,t) \in (0,1)\times(0,T)$ Boundary layers

Published on 10 May 2026 - 11:42

1.2k

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Solve the PDE $xu_y-yu_x=0$ with $u(x,0)=x^2$ using the Method of Characteristics

Published on 10 Oct 2019 - 12:53

208

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Existence of solution for linear homogeneous transport equation

Published on 27 Apr 2026 - 13:41

166

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Solutions of a nonlinear transport equation

Published on 01 Apr 2026 - 2:27

66

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Solving $ \frac{\partial u}{\partial t} + \frac{\partial}{\partial x} (u\ \text{sign}(x)) =-1$ with some initial condition

Published on 25 Mar 2026 - 9:41

47

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$u$ weak solution $\Rightarrow$ $|u|$ weak solution

Published on 01 Apr 2026 - 1:19

105

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Solving PDE $\rho_t + v \rho_x + k\rho = 0$

Published on 12 Apr 2026 - 23:59

200

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How to show that the energy is conserved in the transport equation?

Published on 23 Nov 2019 - 17:00

460

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Solving $u_x+u_y=1$ with a special initial condition (Method of characteristics)

Published on 10 May 2026 - 9:12

209

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Transport equation - Find intersection of characteristics

Published on 16 Apr 2026 - 21:37

119

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Stabilizing Upwinding of Transport Equation with Varying Velocity and Large Gradients

Published on 03 Jan 2020 - 23:48

578

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3D linear transport equation solution

Published on 05 Apr 2026 - 22:08

List Question

A particular PDE of the form $u_y+a(x,y)u_x=0$

Handling the domain's edge with central differences

Solutions to the linear nonuniform transport equation

$y_t+-\epsilon .y_{xx}+ M.y_x=0\, ;(x,t) \in (0,1)\times(0,T)$ Boundary layers

Solve the PDE $xu_y-yu_x=0$ with $u(x,0)=x^2$ using the Method of Characteristics

Existence of solution for linear homogeneous transport equation

Solutions of a nonlinear transport equation

Solving $ \frac{\partial u}{\partial t} + \frac{\partial}{\partial x} (u\ \text{sign}(x)) =-1$ with some initial condition

$u$ weak solution $\Rightarrow$ $|u|$ weak solution

Solving PDE $\rho_t + v \rho_x + k\rho = 0$

How to show that the energy is conserved in the transport equation?

Solving $u_x+u_y=1$ with a special initial condition (Method of characteristics)

Transport equation - Find intersection of characteristics

Stabilizing Upwinding of Transport Equation with Varying Velocity and Large Gradients

3D linear transport equation solution

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