New posts in partial-differential-equations

Entropy Solution of the Burgers' Equation

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standard mollifier (comparing the definition in Evans and wiki)

functional-analysis partial-differential-equations sobolev-spaces

What is elliptic bootstrapping?

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Non-homogeneous Burgers' equation, can we use Rankine-Hugoniot?

partial-differential-equations hyperbolic-equations

Advection diffusion equation

ordinary-differential-equations partial-differential-equations

PDEs in biology

ordinary-differential-equations partial-differential-equations soft-question dynamical-systems biology

Heat Equation $u_{t} - \Delta u + u u_x + uu_y = 0$

partial-differential-equations heat-equation maximum-principle

Why is the solution single-valued?

partial-differential-equations characteristics hyperbolic-equations

Burgers equation with method of characteristic [duplicate]

partial-differential-equations hyperbolic-equations

Leibniz' Rule: Prove $\int_0^y u_{tt}(x,t) dt = u_y (x,y) - u_y (x,0)$

calculus integration analysis multivariable-calculus partial-differential-equations

Convert a general second order linear PDE into a weak form for the finite element method.

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Riemann Problem for Linear Hyperbolic Systems

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Method of characteristics with constant PDE

partial-differential-equations

Book recommendations for self-study at the level of 3rd-4th year undergraduate

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Overview of Godunov's Method

partial-differential-equations numerical-methods hyperbolic-equations

How do we know that PDE solutions obtained via separation of variables are the only ones?

partial-differential-equations

If $\frac{\partial \varphi}{\partial x}=f(x,y),\frac{\partial\varphi}{\partial y}=g(x,y)$, what is $\varphi$?

multivariable-calculus partial-differential-equations indefinite-integrals partial-derivative

classical solutions of PDE with mixed boundary conditions

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When does global solution for Burger's equation exists?

real-analysis functional-analysis partial-differential-equations fluid-dynamics

Method of characteristics for systems of PDE (vs. Lewy's example)

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