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  2. List of unsolved problems in physics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    List of unsolved problems in physics. The following is a list of notable unsolved problems grouped into broad areas of physics. [1] Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result. The others are experimental, meaning ...

  3. Riemann problem - Wikipedia

    en.wikipedia.org/wiki/Riemann_problem

    A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest. The Riemann problem is very useful for the understanding of equations like Euler conservation equations because all ...

  4. Nonlinear system - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_system

    e. In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. [1] [2] Nonlinear problems are of interest to engineers, biologists, [3] [4] [5] physicists, [6] [7] mathematicians, and many other scientists since most systems are inherently ...

  5. Riemann solver - Wikipedia

    en.wikipedia.org/wiki/Riemann_solver

    Definition. Generally speaking, Riemann solvers are specific methods for computing the numerical flux across a discontinuity in the Riemann problem. They form an important part of high-resolution schemes; typically the right and left states for the Riemann problem are calculated using some form of nonlinear reconstruction, such as a flux limiter or a WENO method, and then used as the input for ...

  6. Poisson's equation - Wikipedia

    en.wikipedia.org/wiki/Poisson's_equation

    Poisson's equation is. where is the Laplace operator, and and are real or complex -valued functions on a manifold. Usually, is given, and is sought. When the manifold is Euclidean space, the Laplace operator is often denoted as ∇2, and so Poisson's equation is frequently written as. In three-dimensional Cartesian coordinates, it takes the form.

  7. Physics - Wikipedia

    en.wikipedia.org/wiki/Physics

    Physics was known as natural philosophy until the late 18th century. By the 19th century, physics was realized as a discipline distinct from philosophy and the other sciences. Physics, as with the rest of science, relies on philosophy of science and its "scientific method" to advance knowledge of the physical world.

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