User nwsteg - Mathematics Stack Exchange

5 votes

0 answers

97 views

Derivation of entropy inequality for scalar conservation laws from viscous equation - discontinuous or infinite integrand

asked Dec 31, 2022 at 16:20

4 votes

3 answers

86 views

Convert the double integral $\int_{-T/2}^{T/2}\int_{-T/2}^{T/2}g(\alpha-\beta)d\alpha d\beta$ to a single integral with respect to $\tau=\alpha-\beta$

asked Jul 31, 2022 at 17:55

3 votes

1 answer

236 views

What is the meaning of the wave equation characteristic lines?

asked Dec 13, 2022 at 23:36

2 votes

2 answers

288 views

Sum of complex vectors on unit circle

asked Jun 5, 2022 at 4:21

2 votes

0 answers

229 views

DFT in terms of projection and basis vectors -- how does the complex projection work?

asked Jun 7, 2022 at 12:49

2 votes

0 answers

53 views

Is there a physical interpretation of the "test function" for weak solutions to differential equations?

asked May 1, 2023 at 20:49

1 vote

1 answer

179 views

Show that the vanishing viscosity solution for $u_t+au_x=\epsilon u_{xx}$ is equal to $u_0(x-at)$

asked Dec 19, 2022 at 17:00

1 vote

2 answers

258 views

Verify the rarefaction wave solution of a general convex scalar problem

asked Dec 27, 2022 at 17:17

0 votes

1 answer

52 views

Derivative with respect to a modified independent variable [duplicate]

asked Aug 31, 2022 at 14:42

0 votes

1 answer

114 views

Derivative of $f(\theta(t)))$ with respect to the derivative of $\theta$, i.e. $\frac{\partial f}{\partial \dot{\theta}}$?

asked Apr 15, 2022 at 15:09

0 votes

1 answer

41 views

Particular solution for a 2nd order linear ODE - finding the sign of the constant?

asked May 2, 2022 at 17:14

0 votes

1 answer

55 views

Find the integral of $\frac{2}{\gamma M^2}(1-M^2)\left[1+\frac{1}{2}(\gamma-1)M^2\right]^{-1}\frac{dM}{M}$?

asked Oct 18, 2022 at 0:53

-1 votes

4 answers

101 views

Show that $\frac{(x+y)^2}{xy}>4$

asked Sep 21, 2022 at 3:04

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13 Questions

Derivation of entropy inequality for scalar conservation laws from viscous equation - discontinuous or infinite integrand

Convert the double integral $\int_{-T/2}^{T/2}\int_{-T/2}^{T/2}g(\alpha-\beta)d\alpha d\beta$ to a single integral with respect to $\tau=\alpha-\beta$

What is the meaning of the wave equation characteristic lines?

Sum of complex vectors on unit circle

DFT in terms of projection and basis vectors -- how does the complex projection work?

Is there a physical interpretation of the "test function" for weak solutions to differential equations?

Show that the vanishing viscosity solution for $u_t+au_x=\epsilon u_{xx}$ is equal to $u_0(x-at)$

Verify the rarefaction wave solution of a general convex scalar problem

Derivative with respect to a modified independent variable [duplicate]

Derivative of $f(\theta(t)))$ with respect to the derivative of $\theta$, i.e. $\frac{\partial f}{\partial \dot{\theta}}$?

Particular solution for a 2nd order linear ODE - finding the sign of the constant?

Find the integral of $\frac{2}{\gamma M^2}(1-M^2)\left[1+\frac{1}{2}(\gamma-1)M^2\right]^{-1}\frac{dM}{M}$?

Show that $\frac{(x+y)^2}{xy}>4$