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List of Equations

The database contains 327 equations (9 equations are awaiting activation).

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4. Nonlinear Partial Differential Equations

4.1. Second-Order Quasilinear Parabolic Equations

Found 17 equations, 2 pages (10 eqs. per page): << 1 2 >>

	Equation(s)	Author/ Contributor	Actions
11	$$\displaystyle \frac{\partial {w}}{\partial t} = \frac{\partial}{\partial x}\left[\chi(t)\left(\alpha w +\beta e^{\lambda w} +\gamma e^{-\lambda w}\right)\frac{\partial {w}}{\partial x}\right] + ae^{\lambda w}\theta(t)$.$	Elena Vyazmina Submitted: 25 Jan 08 12:33 Edited (admin): 28 Jan 08 16:49	Details Edit
12	$\displaystyle \frac{\partial {w}}{\partial t} = \frac{\partial}{\partial x}\left[\chi(t)f({w})\frac{\partial {w}}{\partial x}\right] + g(w)\theta(t).$	Elena Vyazmina Submitted: 25 Jan 08 12:28 Edited (admin): 28 Jan 08 17:01	Details Edit
13	$\frac{\partial {w}}{\partial t} = \frac{\partial}{\partial x}\left[\chi(t)\left(\frac{\alpha w}{aw+b} +\beta \frac{\ln{\left\|aw+b\right\|}-1}{aw+b} + \frac{ \gamma}{aw+b}\right)\frac{\partial {w}}{\partial x}\right] + (aw+b)\theta(t).$	Elena Vyazmina Submitted: 25 Jan 08 12:30 Edited (admin): 29 Jan 08 14:33	Details Edit
14	$\frac{\partial {w}}{\partial t} = \frac{\partial}{\partial x}\left[\chi(t)\left(\frac{\alpha w+\gamma}{(aw+b)^2} +\frac{\beta}{(aw+b)^2} \ln{\left\|aw+b\right\|} \right)\frac{\partial {w}}{\partial x}\right] + (aw+b)^2\theta(t).$	Elena Vyazmina Submitted: 25 Jan 08 12:31 Edited (admin): 29 Jan 08 14:37	Details Edit
15	$\frac{\partial {w}}{\partial t} = b\frac{\partial}{\partial x}\left\{\exp{\left[\lambda k^2(nk+k+2)w}\right]\left( \frac{\partial {w}}{\partial x}\right)^n\right\} + ae^{-\lambda w},\quad \ k=\frac{n+1}n.$	Elena Vyazmina Submitted: 25 Jan 08 12:34 Edited (admin): 29 Jan 08 14:42	Details Edit
16	$\frac{\partial {w}}{\partial t} = \frac{\partial}{\partial x}\left[f({w})\left( \frac{\partial {w}}{\partial x}\right)^n\right] + g(w).$	Elena Vyazmina Submitted: 25 Jan 08 12:34 Edited (admin): 29 Jan 08 15:23	Details Edit
17	$$\displaystyle \frac{\partial w}{\partial t}+w\frac{\partial w}{\partial x}- a\frac{\partial^2 w}{\partial x^2}=-f(x,t)$.\quad \ The generalized Burgers equation.$	Andrei Polyanin Submitted: 25 Feb 09 13:31	Details Edit

Found 17 equations, 2 pages (10 eqs. per page): << 1 2 >>

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