List questions from hyperbolic-equations

Published on 24 Jun 2012 - 0:09

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is this a wave equation?

Published on 06 Sep 2012 - 4:38

187

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Breakdown of solution to inviscid Burgers equation

Published on 19 Sep 2012 - 12:34

502

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Conservation laws in quasilinear form

Published on 26 Sep 2012 - 13:46

339

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PDE method of characteristics $u_t+u^2u_x=0$ with $u(x,0)=x$

Published on 27 Mar 2026 - 12:34

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Burgers' equation $u_t + uu_x =0$ with $u(x,0)=x$

Published on 16 Feb 2013 - 20:21

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Weak solution and Rankine-Hugoniot condition

Published on 25 Mar 2013 - 16:24

93

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How to solve wave equation with discontinuous wave speed?

Published on 03 Aug 2020 - 22:16

46

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Mixed partials on the diagonal

Published on 05 Aug 2020 - 14:58

103

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Nature of a large systems of first order coupled PDEs

Published on 16 Aug 2020 - 14:40

394

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On regularity of Hyperbolic Equations

Published on 21 Aug 2020 - 0:06

111

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Trouble understanding a demonstration in Evans PDE book

Published on 08 Sep 2020 - 14:53

117

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For a non-vanishing field $X$ and $a\in C^1(\mathbb R^n;\mathbb C)$, how to reduce the study of $X\cdot \nabla u +au= f$ to the study of $Xv=g$?

Published on 27 Mar 2026 - 12:28

151

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Quasilinear PDE with ambiguous quadratic equation solution

Published on 25 Mar 2026 - 21:22

206

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Existence of solution for a particular linear, non-strictly hyperbolic system of PDEs.

Published on 18 Oct 2020 - 8:16

List Question

What's the difference between "balance laws" and "conservation laws"?

is this a wave equation?

Breakdown of solution to inviscid Burgers equation

Conservation laws in quasilinear form

PDE method of characteristics $u_t+u^2u_x=0$ with $u(x,0)=x$

Burgers' equation $u_t + uu_x =0$ with $u(x,0)=x$

Weak solution and Rankine-Hugoniot condition

How to solve wave equation with discontinuous wave speed?

Mixed partials on the diagonal

Nature of a large systems of first order coupled PDEs

On regularity of Hyperbolic Equations

Trouble understanding a demonstration in Evans PDE book

For a non-vanishing field $X$ and $a\in C^1(\mathbb R^n;\mathbb C)$, how to reduce the study of $X\cdot \nabla u +au= f$ to the study of $Xv=g$?

Quasilinear PDE with ambiguous quadratic equation solution

Existence of solution for a particular linear, non-strictly hyperbolic system of PDEs.

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