Stabilities for Nonisentropic Euler-Poisson Equations by Ka Luen Cheung, Sen Wong

“…By analysing the second inertia, we show that the classical solutions of the system with attractive forces blow up in finite time in some special dimensions when the energy is negative. …”
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Modified Cauchy Problem with Impulse Action for Parabolic Shilov Equations by Galina Unguryan

“…For parabolic Shilov equations with continuous coefficients, the problem of finding classical solutions that satisfy a modified initial condition with generalized data such as the Gelfand and Shilov distributions is considered. …”
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Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation by Zhao Wang, Changchun Liu

“…In other words, in some cases, the classical solutions exist globally, while in some other cases, such solutions blow up at a finite time. …”
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Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics by Peng Jiang, Jinkai Ni, Lu Zhu

“…The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation of a constant equilibrium state: moreover, an algebraic rate of convergence of solutions toward equilibrium is obtained under additional conditions on initial data. …”
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Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices by Mohsen Alipour, Dumitru Baleanu

“…We show that the solutions approach to classical solutions as the order of the fractional derivatives approaches 1.…”
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Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition by Huimin Yu

“…The asymptotic behavior (as well as the global existence) of classical solutions to the 3D compressible Euler equations are considered. …”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

“…Weak solutions are a more general type of solution to the system of sine-Gordon equations than classical solutions and are important in the case of low regularity conditions. …”
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More on stubs in open string field theory by Martin Schnabl, Georg Stettinger

“…Abstract We continue our analysis of open string field theory based on A ∞ -algebras obtained from Witten’s theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions in Witten’s theory by applying a cohomomorphism. …”
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No quantum solutions to linear constraint systems in odd dimension from Pauli group and diagonal Cliffords by Markus Frembs, Cihan Okay, Ho Yiu Chung

“…In particular, it is not known whether there exist LCS in odd dimension, which admit finite-dimensional quantum, but no classical solutions. In recent work, \cite{QassimWallman2020} have shown that unlike in the Boolean case, where the $n$-qubit Pauli group gives rise to quantum solutions of LCS such as the Mermin-Peres square, the n-qudit Pauli group never gives rise to quantum solutions of a LCS in odd dimension. …”
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Exact Asymptotic Expansion of Singular Solutions for the (2+1)-D Protter Problem by Lubomir Dechevski, Nedyu Popivanov, Todor Popov

“…In contrast to the planar Darboux problem the three-dimensional version is not well posed, since its homogeneous adjoint problem has an infinite number of classical solutions. On the other hand, it is known that for smooth right-hand side functions there is a uniquely determined generalized solution that may have a strong power-type singularity at one boundary point. …”
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Curing Black Hole Singularities with Local Scale Invariance by Predrag Dominis Prester

“…Though quantum effects are still crucial and may change the proposed classical picture, a position of building quantum theory around essentially regular classical solutions normally provides a much better starting point.…”
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Sustainable coastal living spaces using shipping containers by Savaniu Ioan Mihail, Tonciu Oana, Francu Catalin

“…The article presents the comparative study between the amount of CO2 emissions generated during the construction of a living space using classical solutions (infrastructure and superstructure in reinforced concrete with masonry) with a useful surface of about 28 square meters and the amount of greenhouse gases generated by the realization of a living space using decommissioned maritime containers with an equivalent useful surface. …”
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Buckling Behavior of Metallic Cylindrical Shell Structures Strengthened with CFRP Composite by Z. Draidi, T. T. Bui, A. Limam, H. V. Tran, A. Bennani

“…To enhance the bearing capacity of steel shells, classical solutions consider internal or external metallic stiffeners (stringers and/or rings) welded or riveted to the shell. …”
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Efficient sampling designs to assess biodiversity spatial autocorrelation: should we go fractal? by Laroche, Fabien

“…Mixing random sampling points and systematic grid (‘hybrid’ designs) is a classic solution to make a trade-off. However, fractal designs (i.e. self-similar designs with well-identified scales) could make an even better compromise, because they cover a wide array of possible autocorrelation range values across scales. …”
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