Probabilistic Models of the Conservation and Balance Laws in Switching Regimes
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3701-8
Abstract: A probabilistic representation is constructed for classical solution to the Cauchy problem for system of semilinear parabolic equations such that the second order terms with different coefficients enter in diagonal way, while the lower order… read more here.
Keywords: balance laws; probabilistic models; switching regimes; conservation balance ... See more keywords
Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.013
Abstract: Abstract In this article, we generalize some existence and uniqueness results in [22] for scalar nonlocal balance laws to multi-dimensional nonlocal balance laws. Also in the multi-dimensional case it is possible to get rid of… read more here.
Keywords: existence; existence uniqueness; nonlocal balance; multi dimensional ... See more keywords
Modeling eutrophic lakes: From mass balance laws to ordinary differential equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887817501511
Abstract: Starting from integral balance laws, a model based on nonlinear ordinary differential equations (ODEs) describing the evolution of Phosphorus cycle in a lake is proposed. After showing that the usual homogeneous model is not compatible… read more here.
Keywords: state; ordinary differential; model; differential equations ... See more keywords
Fast Convergence Methods for Hyperbolic Systems of Balance Laws with Riemann Conditions
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DOI: 10.3390/sym12050757
Abstract: In this paper, we develop an accurate technique via the use of the Adomian decomposition method (ADM) to solve analytically a 2 × 2 systems of partial differential equation that represent balance laws of hyperbolic-elliptic… read more here.
Keywords: methods hyperbolic; hyperbolic systems; fast convergence; balance laws ... See more keywords
L P decay for general hyperbolic-parabolic systems of balance laws
Sign Up to like & getrecommendations! Published in 2017 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2018018
Abstract: We study time asymptotic decay of solutions for a general system of hyperbolic-parabolic balance laws in multi space dimensions. The system has physical viscosity matrices and a lower order term for relaxation, damping or chemical… read more here.
Keywords: parabolic systems; hyperbolic parabolic; balance laws; general hyperbolic ... See more keywords