Results 271 to 280 of about 7,793,267 (329)

Invariant and Partially Invariant Solutions of the Green-Naghdi Equations

Journal of Applied Mechanics and Technical Physics, 2005
All invariant and partially invariant solutions of the Green-Naghdi equations are obtained that describe the second approximation of the shallow water theory. It is proved that all nontrivial invariant solutions belong to one of the following types: Galilean-invariant, stationary, and self-similar solutions.
Bagderina, Yu. Yu., Chupakhin, A. P.
openaire   +2 more sources

Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified dispersive water wave system of equations

The European Physical Journal Plus, 2023
Sachin Kumar, W. Ma, S. K. Dhiman, A. Chauhan   +3 more
semanticscholar   +1 more source

Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation

The European Physical Journal Plus, 2021
Sachin Kumar, Dharmendra Kumar, A. Wazwaz   +2 more
semanticscholar   +1 more source

Group-Invariant Solutions

1986
When one is confronted with a complicated system of partial differential equations arising from some physically important problem, the discovery of any explicit solutions whatsoever is of great interest. Explicit solutions can be used as models for physical experiments, as benchmarks for testing numerical methods, etc., and often reflect the asymptotic
openaire   +1 more source

Lie symmetry analysis, group-invariant solutions and dynamics of solitons to the ($$2+1$$)-dimensional Bogoyavlenskii–Schieff equation

Pramana (Bangalore), 2021
Sachin Kumar, S. Rani
semanticscholar   +1 more source

Model of the Newtonian cosmology: Symmetries, invariant and partially invariant solutions

Communications in Nonlinear Science and Numerical Simulation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klebanov, Igor, Startsun, O., Ivanov, S.
openaire   +2 more sources

Lie symmetry analysis, optimal system and invariant solutions of (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles

The European Physical Journal Plus, 2021
Shalini Yadav, R. Arora
semanticscholar   +1 more source

Invariant Measures and Statistical Solutions

2016
In this chapter we prove the existence of invariant measures associated with two-dimensional autonomous Navier–Stokes equations. Then we introduce the notion of a stationary statistical solution and prove that every invariant measure is also such a solution.
Grzegorz Łukaszewicz, Piotr Kalita
openaire   +1 more source

Identifying invariant solutions with Nektar++

2022
Several canonical flows are known to remain stable for arbitrary high values of the Reynolds numbers. In the case of those flows transition to turbulence is the result of the onset of equilibrium states, populating the phase space, rather than a cycle of bifurcations that takes the flow away from its laminar form.
openaire   +1 more source

Making solution concepts invariant

1995
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Vermeulen, A.J., Jansen, M.J.M., Potters, J.A.M.   +2 more
openaire   +1 more source