Results 171 to 180 of about 2,990 (216)
Direct observation of ion cyclotron damping of turbulence in Earth's magnetosheath plasma. [PDF]
Nat CommunAfshari AS +10 more
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Quasilinear Hamiltonian systems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987 SynopsisWe consider quasilinear systems of 2N partial differential equations with 2N unknown functions depending on n + 1 variables as evolution systems on the space L2(Rn, RN) × L2(Rns, RN) endowed with a symplectic form induced by the standard scalar product on L2(Rn, RN).
Jan S. Rogulski
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Integrability for solutions to quasilinear elliptic systems. [PDF]
, 2010 The authors give structural conditions on coefficients of quasilinear elliptic systems in divergence form \[ -\sum _{i=1}^n D_i\left (\sum _{j=1}^n \sum _{\beta =1}^N a_{ij}^{\alpha \beta }(x,u(x))D_j u^{\beta }(x)=0\right )\;\;\text{on \(\Omega \) for \(\alpha = 1,...,N\)} \] which guarantee the higher integrability of solution \(u\).
LEONETTI, Francesco, PETRICCA P. V.
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Lyapunov-type inequality for quasilinear systems
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-In Kim, Kueiming Lo
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Quasilinear hyperbolic systems with involutions
Archive for Rational Mechanics and Analysis, 1986The author considers quasilinear hyperbolic systems \[ (1)\quad \partial_ tU+\sum^{m}_{\alpha =1}\partial_{\alpha}G_{\alpha}(U)=0 \] where \(x\in {\mathbb{R}}^ m\), the vector U(x,t) takes values in an open subset \({\mathcal O}\subset {\mathbb{R}}^ n\) and \(G_{\alpha}: {\mathcal O}\to {\mathbb{R}}^ n\) are given smooth functions. A classical solution
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AN INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEM
Acta Mathematica Scientia, 1981Abstract : We consider quasilinear hyperbolic partial differential equations modeling ideal gas flow under various physical effects. When these effects are represented as Lipschitz continuous functions of the states, solutions to the initial value problem are shown to exist globally in time.
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On Quasilinearization of Elliptic Monge–Ampère Systems
Lobachevskii Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On optimal control over quasilinear systems
Ukrainian Mathematical Journal, 1995Author studies the approximation method for the optimal stabilization control of the quasilinear system \(\dot x=Ax+Du+\mu \varphi (x)\), where \(\mu\) is a small parameter, \(A\) and \(D\) are matrices, the function \(\varphi (x)\) is analytic in some bounded domain, components of the vector-valued function \(x(t,\mu)\) are absolutely continuous ...
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2011
Chapter 4 is devoted to solving linear and quasilinear symmetric systems with data in Sobolev spaces. Blow-up criteria and results concerning the continuity of the flow map are also given. The case of data with critical regularity (in a Besov space) is also investigated.
Hajer Bahouri +2 more
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Chapter 4 is devoted to solving linear and quasilinear symmetric systems with data in Sobolev spaces. Blow-up criteria and results concerning the continuity of the flow map are also given. The case of data with critical regularity (in a Besov space) is also investigated.
Hajer Bahouri +2 more
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