Results 191 to 200 of about 3,812 (235)
Some of the next articles are maybe not open access.
Monotone iterative finite volume algorithms for coupled systems of first‐order nonlinear PDEs
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023AbstractThis paper studies coupled systems of first‐order nonlinear partial differential equations, where the first equation is an advection equation with a source term. The system is known to model physical phenomena such as general blood–tissue exchange (BTEX) and the gas–solid interphase heat transfer for the fast igniting catalytic converter.
Rupsha Roy +2 more
openaire +2 more sources
Neural operators for PDE backstepping control of first-order hyperbolic PIDE with recycle and delay
Systems & control letters (Print), 2023The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class that involves delays on both the state and the system output or input.
Jie Qi, Jing Zhang, M. Krstić
semanticscholar +1 more source
Linear Mathematical Models in Chemical Engineering, 2018
1. Systems of 1st order ordinary differential equations 2 1.1. Existence of solutions 2 1.2. Uniqueness 4 1.3. Differentiability of solutions with respect to a parameter 6 2. Quasi-linear pdes 10 2.1. Step 1 10 2.2. Step 2 11 2.3.
C. Gutiérrez
semanticscholar +1 more source
1. Systems of 1st order ordinary differential equations 2 1.1. Existence of solutions 2 1.2. Uniqueness 4 1.3. Differentiability of solutions with respect to a parameter 6 2. Quasi-linear pdes 10 2.1. Step 1 10 2.2. Step 2 11 2.3.
C. Gutiérrez
semanticscholar +1 more source
Systems & control letters (Print), 2020
We develop a hybrid boundary feedback law for a class of scalar, linear, first-order hyperbolic PDEs, for which the state measurements or the control input are subject to quantization.
N. Bekiaris-Liberis
semanticscholar +1 more source
We develop a hybrid boundary feedback law for a class of scalar, linear, first-order hyperbolic PDEs, for which the state measurements or the control input are subject to quantization.
N. Bekiaris-Liberis
semanticscholar +1 more source
RESULTS ON SOLUTIONS FOR SEVERAL SYSTEMS OF THE FIRST ORDER NONLINEAR PDES AND PDDES IN C2
Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematicsopenaire +2 more sources
First-Order Nonlinear PDEs and Conservation Laws
2013Linear partial differential equations discussed in Part III often offer only a very simplified description of physical phenomena. To get a deeper understanding of some of them, it is necessary to move beyond the linear “universe” and consider nonlinear models, which in the case of continuous media, means nonlinear partial differential equations.
Alexander I. Saichev +1 more
openaire +1 more source
New symmetry solution techniques for first-order non-linear PDEs
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Barco, Geoff E. Prince
openaire +1 more source
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term
Advances in Calculus of Variations, 2022We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term.
Stefano Biagi +3 more
semanticscholar +1 more source
Generalized Solutions of First-Order Nonlinear PDEs
2013Most of the equations of mathematical physics, and in particular nonlinear first-order partial differential equations, are a result of idealizing and simplifying assumptions. This approach promotes the effectiveness and elegance of mathematical models that adequately reflect some important qualitative features of the physical phenomena under ...
Alexander I. Saichev +1 more
openaire +1 more source
2018 European Control Conference (ECC), 2018
We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by quasilinear transport PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state itself (which implies that the prediction horizon cannot be a priori known analytically), the key design challenge is the determination ...
Bekiaris-Liberis, Nikolaos +1 more
openaire +1 more source
We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by quasilinear transport PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state itself (which implies that the prediction horizon cannot be a priori known analytically), the key design challenge is the determination ...
Bekiaris-Liberis, Nikolaos +1 more
openaire +1 more source