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Conservation laws with source term

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A regularity result in Bochner spaces, simmetry of second derivatives (time and space)

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86
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Dispersion relation for system of nonlinear equations

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1D advection with space-dependent velocity

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Find the breaking time in IVP for classical Burgers equation

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Burgers' equation with boundary conditions

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108
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Solving a Transport Equation

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346
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Lax entropy condition for convex flux and sign of shock speed

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38
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What is the use of the notion of consistency for Riemann solvers?

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#hyperbolic-equations
73
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On solving time dependent potentials of geometrically changing barriers

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#ordinary-differential-equations #differential-geometry #elliptic-functions #potential-theory #hyperbolic-equations
454
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Piecewise initial-value problem for Burgers' equation

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1.6k
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How to test the weak solution to hyperbolic conservation law?

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#weak-derivatives #hyperbolic-equations
3k
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Shock-wave solution for PDE $u_t+(u-1)u_x=2$

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#partial-differential-equations #initial-value-problems #characteristics #hyperbolic-equations
312
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Hyperbolicity of Convection-Diffusion Equation

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674
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Burgers' equation with piecewise constant initial conditions

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