Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
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DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients
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DOI: 10.1007/s10915-017-0426-7
Abstract: We develop a general polynomial chaos (gPC) based stochastic Galerkin (SG) for hyperbolic equations with random and singular coefficients. Due to the singular nature of the solution, the standard gPC-SG methods may suffer from a… read more here.
Keywords: method hyperbolic; hyperbolic equations; discrete stochastic; stochastic galerkin ... See more keywords
Well-Posedness of Mixed Problems for Multidimensional Hyperbolic Equations with Wave Operator
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DOI: 10.1007/s11253-017-1422-7
Abstract: We establish the unique solvability and obtain the explicit expression for the classical solution of the mixed problem for multidimensional hyperbolic equations with wave operator. read more here.
Keywords: hyperbolic equations; well posedness; equations wave; wave operator ... See more keywords
Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups
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DOI: 10.1007/s40840-020-00919-6
Abstract: In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on $${\mathbb {R}}^{n}$$, Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we… read more here.
Keywords: pseudo hyperbolic; hyperbolic equations; lie groups; nonexistence results ... See more keywords
Hyperbolic equations for neuronal membrane deformation waves accompanying an action potential.
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DOI: 10.1016/j.bbrc.2021.12.112
Abstract: Experiments show that the propagation of an action potential along an axon is accompanied by mechanical deformations. We describe the mechanisms of the effect using fluid dynamic equations, Laplace's and Hook's laws for surface tension,… read more here.
Keywords: action; action potential; membrane; hyperbolic equations ... See more keywords
A continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.008
Abstract: Abstract This paper, we study a space-time continuous Galerkin (STCG) method with mesh change for two-dimensional (2-D) pseudo-hyperbolic equations with variable coefficients, which gives the same treatment for time and space discretizations, namely both time… read more here.
Keywords: pseudo hyperbolic; time; method; hyperbolic equations ... See more keywords
Classical Solutions of Hyperbolic Equations with Nonlocal Potentials
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DOI: 10.1134/s1064562421030157
Abstract: A three-parameter family of global solutions for a two-dimensional hyperbolic differential-difference equation with a nonlocal potential is constructed. A theorem that the obtained solutions are classical is proved. read more here.
Keywords: nonlocal potentials; solutions hyperbolic; equations nonlocal; hyperbolic equations ... See more keywords
Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping
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DOI: 10.1155/2017/2708483
Abstract: We investigate the 3D quasilinear hyperbolic equations with nonlinear damping which describes the propagation of heat wave for rigid solids at very low temperature, below about 20 K. The global existence and uniqueness of strong solutions… read more here.
Keywords: decay quasilinear; hyperbolic equations; equations nonlinear; nonlinear damping ... See more keywords