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  2. Partial differential equation - Wikipedia

    en.wikipedia.org/wiki/Partial_differential_equation

    In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.. The function is often thought of as an "unknown" that solves the equation, similar to how x is thought of as an unknown number solving, e.g., an algebraic equation like x 2 − 3x + 2 = 0.

  3. Stefan problem - Wikipedia

    en.wikipedia.org/wiki/Stefan_problem

    This is accomplished by solving heat equations in both regions, subject to given boundary and initial conditions. At the interface between the phases (in the classical problem) the temperature is set to the phase change temperature. To close the mathematical system a further equation, the Stefan condition, is required. This is an energy balance ...

  4. Method of characteristics - Wikipedia

    en.wikipedia.org/wiki/Method_of_characteristics

    Typically, it applies to first-order equations, though in general characteristic curves can also be found for hyperbolic and parabolic partial differential equation. The method is to reduce a partial differential equation (PDE) to a family of ordinary differential equations (ODE) along which the solution can be integrated from some initial data ...

  5. José A. Carrillo - Wikipedia

    en.wikipedia.org/wiki/José_A._Carrillo

    José Antonio Carrillo de la Plata (pronounced [xoˈse an'tonjo ka'riʎo ðe la 'plata]; born 29 December 1969) is a Spanish mathematician primarily known for his contributions in applied partial differential equations, numerical analysis, many particle systems and kinetic theory.

  6. List of partial differential equation topics - Wikipedia

    en.wikipedia.org/wiki/List_of_partial...

    Partial differential equation. Nonlinear partial differential equation. list of nonlinear partial differential equations; Boundary condition; Boundary value problem. Dirichlet problem, Dirichlet boundary condition; Neumann boundary condition; Stefan problem; Wiener–Hopf problem; Separation of variables; Green's function; Elliptic partial ...

  7. Analysis of partial differential equations - Wikipedia

    en.wikipedia.org/wiki/Analysis_of_partial...

    The mathematical analysis of partial differential equations uses analytical techniques to study partial differential equations. The subject has connections to and motivations from physics and differential geometry, the latter through the branches of global and geometric analysis .

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  9. List of nonlinear partial differential equations - Wikipedia

    en.wikipedia.org/wiki/List_of_nonlinear_partial...

    Name Dim Equation Applications Landau–Lifshitz model: 1+n = + Magnetic field in solids Lin–Tsien equation: 1+2 + = Liouville equation: any + = Liouville–Bratu–Gelfand equation

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