are once continuously differentiable functions, nonlinear in general.
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To show that this quantity is conserved, integrate over a domain
The Journal of Hyperbolic Differential Equations was founded in 2004 and carries papers pertaining to nonlinear hyperbolic problems and related mathematical topics, specifically on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.
Schrödinger equation | Nernst equation | Monge–Ampère equation | Boltzmann equation | Diophantine equation | Partial Nuclear Test Ban Treaty | Ordinary differential equation | ordinary differential equation | Hyperbolic tree | Young–Laplace equation | Wave equation | wave equation | Vlasov equation | Tait equation | Smoluchowski coagulation equation | Sauerbrey equation | Redlich–Kwong equation of state | Ramanujan–Nagell equation | Quadratic equation | Prym differential | Prony equation | power series solution of differential equations | Pell's equation | Partial thromboplastin time | Partial Terms of Endearment | Mathieu's equation | Marchenko equation | Majorana's equation | Magnetic Drum Digital Differential Analyzer | Low-voltage differential signaling |