Results 31 to 40 of about 8,399,495 (263)
Energy Conservation for the Weak Solutions of the Compressible Navier–Stokes Equations [PDF]
Archive for Rational Mechanics and Analysis, 2016 In this paper, we prove the energy conservation for the weak solutions of the compressible Navier–Stokes equations for any time t > 0, under certain conditions.
Cheng Yu
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Weak Solutions for a Simple Hyperbolic System [PDF]
Electronic Journal of Probability, 2001 The authors study the Cauchy problem for a semilinear hyperbolic system with the quadratic nonlinear term of special kind. They demonstrate existence and uniqueness of weak solutions. The direct method used is guided by the theory of measure-valued diffusions.
Lyne, Owen, Williams, David
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Journal of Optimization, Differential Equations and Their Applications, 2018 We study here Dirichlet boundary value problem for a quasi-linear elliptic equation with anisotropic p-Laplace operator in its principle part and L^1-control in coefficient of the low-order term.
Peter I. Kogut, Olha P. Kupenko
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A Note on Weak Solutions of Conservation Laws and Energy/Entropy Conservation [PDF]
Archive for Rational Mechanics and Analysis, 2017 A common feature of systems of conservation laws of continuum physics is that they are endowed with natural companion laws which are in such cases most often related to the second law of thermodynamics.
P. Gwiazda +2 more
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Weak Solutions of the Porous Medium Equation [PDF]
Transactions of the American Mathematical Society, 1993 We show that if u ≥ 0 u \geq 0 , u ∈ L loc m ( Ω ) u \in L_{{\text {loc}}}^m(\Omega ) , Ω ⊂ R
Björn E. J. Dahlberg, Carlos E. Kenig
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Mathematics, 2019 Using the Laplace transform technique, we investigate the generalized solutions of the third-order Cauchy-Euler equation of the form t 3 y ′ ′ ′ ( t ) + a t 2 y ′ ′ ( t ) + b y ′ ( t ) + c y ...
Seksan Jhanthanam +2 more
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Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity [PDF]
SIAM Journal on Mathematical Analysis, 2016 We prove existence of weak solutions to an evolutionary model derived for magnetoelastic materials. The model is phrased in Eulerian coordinates and consists in particular of (i) a Navier-Stokes equation that involves magnetic and elastic terms in the ...
B. Benesová +3 more
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Global weak solutions of nonlinear rotation-Camassa-Holm model
AIMS Mathematics, 2023 A nonlinear rotation-Camassa-Holm equation, physically depicting the motion of equatorial water waves and having the Coriolis effect, is investigated. Using the viscous approximation tool, we obtain an upper bound estimate about the space derivative of ...
Zheng Dou, Kexin Luo
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The higher integrability of weak solutions of porous medium systems
Advances in Nonlinear Analysis, 2018 In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
V. Bögelein +3 more
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Global weak solutions and asymptotic limits of a Cahn--Hilliard--Darcy system modelling tumour growth [PDF]
, 2016 We study the existence of weak solutions to a Cahn--Hilliard--Darcy system coupled with a convection-reaction-diffusion equation through the fluxes, through the source terms and in Darcy's law.
H. Garcke, K. F. Lam
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