Hyperbolic Partial Differential Equations
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چکیده
Evolution equations associated with irreversible physical processes like diffusion and heat conduction lead to parabolic partial differential equations. When the equation is a model for a reversible physical process like propagation of acoustic or electromagnetic waves, then the evolution equation is generally hyperbolic. The mathematical models usually begin with a conservation statement that is some version of Newton’s second law d dt mV⃗ = F⃗
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