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Oleinik condition is equivalent to Entropy Condition (PDE)

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#partial-differential-equations #entropy #hyperbolic-equations
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Solution to 2D- Burgers' equation with a source

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#partial-differential-equations #initial-value-problems
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Explanation of differing solutions for an exact ODE

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#ordinary-differential-equations #partial-differential-equations
684
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PDE Method of Characteristics with 3 independent variables. Any Idea?

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#partial-differential-equations
373
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Solving a Partial Differential Equation missing term with Separation of Variables

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#partial-differential-equations
526
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How to show that the mild solution to this parabolic equation is also a classical solution?

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#real-analysis #functional-analysis #partial-differential-equations #regularity-theory-of-pdes #parabolic-pde
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Finding a steady-state solution to a PDE

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#partial-differential-equations #boundary-value-problem #steady-state
294
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What does it really mean for a wave equation to be critical?

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#functional-analysis #partial-differential-equations #wave-equation #regularity-theory-of-pdes #dispersive-pde
74
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My problem is $U_x+\frac{Uy}{U} = U^2,\;\; U(x,1) = 1$. Please Help!

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#partial-differential-equations
53
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Wave Equation with initial and boundary condition and find $u(2,x)$

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#partial-differential-equations #wave-equation
593
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Transversality condition and cauchy problem

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#partial-differential-equations
668
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Reducing Second order PDE System to First-Order

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#partial-differential-equations #linear-pde
40
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The dirichlet and harmonic functions why they are important

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#real-analysis #calculus #multivariable-calculus #partial-differential-equations #harmonic-functions
60
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Fourier tranform of the derivative

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#partial-differential-equations #fourier-analysis #fourier-transform #fast-fourier-transform #fourier-restriction
54
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$u_{xx} + u_x = 0$ ; parabolic PDE

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#partial-differential-equations #parabolic-pde

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