Results 31 to 40 of about 2,990 (216)
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Quasilinear systems with memory kernels
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We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on the data at infinity as well as minimal regularity.
Mihaela Ifrim, Annalaura Stingo
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Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains
In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed DirichletâNeumann boundary conditions on nonsmooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove the existence of a unique ...
Joachim Rehberg +3 more
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Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator [PDF]
The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.
Ali Taghavi +2 more
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Quasilinear hyperbolic systems [PDF]
We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors. The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation laws.
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The first eigenvalue of p-Laplacian systems with nonlinear boundary conditions
We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions. We prove that this eigenvalue is simple, unique up to positive eigenfunctions for both
N. B. Zographopoulos +2 more
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Game problems for fractional quasilinear systems
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Chikrii, A.A., Eidelman, S.D.
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the wellâposedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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Classical solutions of quasilinear parabolic systems on two dimensional domains
Using results on abstract evolutions equations and recently obtained results on elliptic operators with discontinuous coefficients including mixed boundary conditions we prove that quasilinear parabolic systems admit a local, classical solution in the ...
Neidhardt, Hagen +2 more
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