Results 1 to 10 of about 34 (22)
Reachable states for the distributed control of the heat equation
Comptes rendus. Mathematique, 2022 We are concerned with the determination of the reachable states for the distributed control of the heat equation on an interval. We consider either periodic boundary conditions or homogeneous Dirichlet boundary conditions.
Mo Chen, L. Rosier
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Properties of generalized degenerate parabolic systems
Advances in Nonlinear Analysis, 2022 In this article, we consider the parabolic system (ui)t=∇⋅(mUm−1A(∇ui,ui,x,t)+ℬ(ui,x,t)),(1≤i≤k){({u}^{i})}_{t}=\nabla \cdot (m{U}^{m-1}{\mathcal{A}}(\nabla {u}^{i},{u}^{i},x,t)+{\mathcal{ {\mathcal B} }}({u}^{i},x,t)),\hspace{1.0em}(1\le i\le k) in the ...
Kim Sunghoon, Lee Ki-Ahm
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Higher integrability for anisotropic parabolic systems of p-Laplace type
Advances in Nonlinear Analysis, 2023 In this article, we consider anisotropic parabolic systems of pp-Laplace type. The model case is the parabolic pi{p}_{i}-Laplace system ut−∑i=1n∂∂xi(∣Diu∣pi−2Diu)=0{u}_{t}-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}({| {D}_{i}u| }^{{
Mons Leon
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Boundary Value Problems, 2014 This paper is devoted to deriving global Carleman estimate for a one-dimensional linear coupled parabolic system of m equations with bounded variations (BV) diffusion coefficients.
Hichem Ramoul
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Some properties of Green's functions of Shilov-type parabolic systems
Miskolc Mathematical Notes, 2019 For Shilov-type parabolic systems with nonnegative genus and coefficients of bounded smoothness, the properties of differentiability of Green’s function with respect to spatial variables are studied.
V. Litovchenko, G. Unguryan
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Maximum principles for parabolic systems coupled in both first‐order and zero‐order terms
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 813-816, 1994., 1993 Some generalized maximum principles are established for linear second‐order parabolic systems in which both first‐order and zero‐order terms are coupled.
Chiping Zhou
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Unstable periodic wave solutions of Nerve Axion diffusion equations
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 787-796, 1987., 1987 Unstable periodic solutions of systems of parabolic equations are studied. Special attention is given to the existence and stability of solutions.
Rina Ling
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PHENOTYPIC DEFORMATION: THE ROLE OF ALLOMETRY AND THE GOLDEN RATIO
, 2016 Following the Antonelli/Rutz Finsler Gate method, the concept of Allometric Strain is introduced to model plastic deformation of phenotypes in mammalian genomes.
P. Antonelli, C. Leandro, S. Rutz
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Crossover collision of scroll wave filaments
Documenta Mathematica, 2000 Scroll waves are three-dimensional stacks of rotating spiral waves, with spiral tips aligned along filament curves. Such spatiotemporal patterns arise, for example, in reaction diffusion systems of excitable media type.
B. Fiedler, R. Mantel
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STOCHASTIC CANALIZATION OF PHENOTYPIC DEFORMATIONS DURING ONTOGENESIS
, 2016 This article presents a new application of the Stochastic Theory of Volterra-Hamilton Systems of Finsler class to growth and ontogeny and particularly to the study of noise effects on the deterministic model equations for interaction of muscle and ...
P. Antonelli, C. Leandro, S. Rutz
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