Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms
Electronic Journal of Differential Equations, 2020 This article concerns the Cauchy problem of conservation laws with nonlocal dissipation-type terms in R^3. By using Green's function and the time-frequency decomposition method, we study global classical solutions and their long time behavior ...
Fengbai Li, Weike Wang, Yutong Wang
doaj
Conservation laws of the system of equations of one-dimensional shallow water over uneven bottom in Lagrange's variables [PDF]
arXiv, 2018 The system of equations of one-dimensional shallow water over uneven bottom in Euler's and Lagrange's variables is considered. Intermediate system of equations is introduced. Hydrodynamic conservation laws of intermediate system of equations is used to find all first order conservation laws of shallow water equations in Lagrange's variable for all ...
arxiv
Inverse problem for a physiologically structured population model with variable-effort harvesting
Open Mathematics, 2017 We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be ...
Andrusyak Ruslan V.
doaj +1 more source
Infinitely many nonlocal symmetries and conservation laws for the (1+1)-dimensional Sine-Gordon equation [PDF]
arXiv, 2013 Infinitely many nonlocal symmetries and conservation laws of the (1+1)-dimensional Sine-Gordon (SG) equation are derived in terms of its B\"acklund transformation (BT). Some special nonlocal symmetries and nonlocal conservation laws are obtained from the linearized equations of the SG equation and its BT.
arxiv
Stability of entropy solutions for Levy mixed hyperbolic-parabolic equations
Electronic Journal of Differential Equations, 2011 We analyze entropy solutions for a class of Levy mixed hyperbolic-parabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy process.
Kenneth H. Karlsen, Suleyman Ulusoy
doaj
AxiomsThe generalized theory of the double reduction of systems of partial differential equations (PDEs) based on the association of conservation laws with Lie–Bäcklund symmetries is one of the most effective algorithms for performing symmetry reductions of ...
Molahlehi Charles Kakuli +2 more
doaj +1 more source
Noether conservation laws in classical mechanics [PDF]
arXiv, 2003 In Lagrangian mechanics, Noether conservation laws including the energy one are obtained similarly to those in field theory. In Hamiltonian mechanics, Noether conservation laws are issued from the invariance of the Poincare-Cartan integral invariant under one-parameter groups of diffeomorphisms of a configuration space.
arxiv
Best practice mechanisms for biodiversity conservation law and policy. [PDF]
Camb Prism Extinct, 2023 Brockett C +6 more
europepmc +1 more source
Conservation laws of generalized higher Burgers and linear evolution equations [PDF]
arXiv, 2002 By the Cole-Hopf transformation, with any linear evolution equation in 1+1 dimensions a generalized Burgers equation is associated. We describe local conservation laws of these equations. It turns out that any generalized Burgers equation has only one conservation law, while a linear evolution equation with constant coefficients has an infinite number ...
arxiv
Spin Currents Induced in Open-Shell Molecules by Static and Uniform Magnetic and Electric Fields in the Presence of a Spin-Orbit Coupling Interaction and Conservation Law. [PDF]
J Chem Theory Comput, 2023 Summa FF.
europepmc +1 more source