List questions from partial-differential-equations

Published on 29 Mar 2026 - 11:01

393

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$-\nabla \cdot (A\nabla u)=f$ has a weak solution in $H^1$ $\iff$ $\int_\Omega f+\int_{\partial \Omega }g=0$.

Published on 20 Mar 2026 - 11:34

642

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Find the expression of $\frac{1}{Dx^2-Dy^2} \sin (x-y)$

Published on 21 Jan 2018 - 15:44

163

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Trying to find general solution using method of characteristics of a quasi linear advection equation

Published on 21 Jan 2018 - 19:50

568

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Lagrange multiplier for the Stokes equations

Published on 25 Mar 2026 - 1:22

1.3k

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The integral of the standard mollifier function

Published on 27 Mar 2026 - 11:55

86

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Absurd differential in first order condition

Published on 19 Mar 2026 - 19:02

412

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Solve $u_t+3uu_x=0$ , $u(x,0)=\left\{\begin{matrix} 2 & x<1\\ 0& x>1 \end{matrix}\right.$

Published on 22 Mar 2026 - 10:04

322

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Any inequality that relates the integrals over the boundary and over the domain?

Published on 25 Mar 2026 - 3:03

753

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The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $

Published on 29 Mar 2026 - 12:07

73

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Bounds on solutions of the wave equation

Published on 29 Mar 2026 - 12:39

134

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Imposing a condition that is not boundary or initial in the 1D heat equation

Published on 25 Mar 2026 - 4:22

362

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Method of characteristics - solution doesn't seem consistent with original PDE

Published on 25 Mar 2026 - 11:16

141

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Harmonic functions satisfying given inequality

Published on 30 Mar 2026 - 19:52

148

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Using the Frobenius theorem for overdetermined system of pde's

Published on 26 Mar 2026 - 12:31

List Question

Negative wavespeed for travelling waves for Fischer's equation impossible?

$-\nabla \cdot (A\nabla u)=f$ has a weak solution in $H^1$ $\iff$ $\int_\Omega f+\int_{\partial \Omega }g=0$.

Find the expression of $\frac{1}{Dx^2-Dy^2} \sin (x-y)$

Trying to find general solution using method of characteristics of a quasi linear advection equation

Lagrange multiplier for the Stokes equations

The integral of the standard mollifier function

Absurd differential in first order condition

Solve $u_t+3uu_x=0$ , $u(x,0)=\left\{\begin{matrix} 2 & x<1\\ 0& x>1 \end{matrix}\right.$

Any inequality that relates the integrals over the boundary and over the domain?

The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $

Bounds on solutions of the wave equation

Imposing a condition that is not boundary or initial in the 1D heat equation

Method of characteristics - solution doesn't seem consistent with original PDE

Harmonic functions satisfying given inequality

Using the Frobenius theorem for overdetermined system of pde's

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