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The problem was that none of them could solve the resulting equation, a second-order partial differential equation.
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In the study of hyperbolic and parabolic partial differential equations, zeros of the principal symbol correspond to the characteristics of the partial differential equation.
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Ordinary quantum mechanics and pilot wave theory are based on the same partial differential equation.
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This kind of partial differential equation appears frequently coupled with others in science and engineering.
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The heat equation is the prototypical example of a parabolic partial differential equation.
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The corresponding fact for quasiregular maps is that log "f" satisfies a certain non-linear partial differential equation of elliptic type.
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When used as a method for advection equations, or more generally hyperbolic partial differential equation, it is unstable unless artificial viscosity is included.
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This nonlinear partial differential equation when supplied with the right boundary conditions will define the static interface.
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Their dynamic hedging strategy led to a partial differential equation which governed the price of the option.
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One can express any partial differential equation system as an exterior differential system with independence condition.
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